Aptitude

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1 1) What percentage of 120 is 90 a)50% b)67% c)70% d)75% 2) If y exceeds x by 20%, then x is less than y by? a)10% b)16(1/7)% c)16(2/3)% d)15% 3) After decreasing 24% in the price of an article costs Rs. 912. Find the actual cost of an article a)500 b)1200 c)1340 d)1256 4) How much 60% of 50 is greater than 40% of 30? a)15 b)18 c)20 d)23 5) How much is 80% of 40 is greater than 4/5 of 25? a)10 b)14 c)12 d)20 6)40% of a number is more than 205 of 650 by 190. Find the number? a)400 b)780 c)820 d)800 7) 25% of 30% of 45% is equal to a)1.780 b)0.4014 c)0.03375 d)0.334520 8)60% of a number is added to 120 the result is the same number. Find the number? a)310 b)314 c)300 d)325 9) 85% of a number is added to 24. the result is the same number. Find the number? a)310 b)314 c)212 d)300 10)40 is subtracted from 60% of a number, the result is 50. Find the number? a)150 b)140 c)152 d)120 11) 96% of the population of the village is 23040. The total population of the village is ? a)24000 b)14000 c)21200 d)42000 12) If the price has fallen by 10% what percent of its consumption be increased so that the expenditure may be the same as before ? a)11(1/9)% b)14(3/2)% c)12 (4/5)% d)11.2% 13) If y exceeds x by 25%, then x is less than y by

Transcript of Aptitude

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11) What percentage of 120 is 90a)50% b)67% c)70% d)75%

2) If y exceeds x by 20%, then x is less than y by?a)10% b)16(1/7)% c)16(2/3)% d)15%

3) After decreasing 24% in the price of an article costs Rs. 912. Find the actual cost of an articlea)500 b)1200 c)1340 d)1256

4) How much 60% of 50 is greater than 40% of 30?a)15 b)18 c)20 d)23

5) How much is 80% of 40 is greater than 4/5  of 25?a)10 b)14 c)12 d)20

6)40% of a number is more than 205 of 650 by 190. Find the number?a)400 b)780  c)820 d)800

7) 25% of 30% of 45% is equal toa)1.780 b)0.4014 c)0.03375 d)0.334520

8)60% of a number is added to 120 the result is the same number. Find the number?a)310 b)314 c)300 d)325

9) 85% of a number is added to 24. the result is the same number. Find the number?a)310 b)314 c)212 d)300

10)40 is subtracted from 60% of a number, the result is 50. Find the number?a)150 b)140 c)152 d)120

11) 96% of the population of the village is 23040. The total population of the village is ?a)24000 b)14000 c)21200 d)42000

12) If the price has fallen by 10% what percent of its consumption be increased so that the expenditure may be the same as before ? a)11(1/9)%  b)14(3/2)%  c)12 (4/5)% d)11.2%

13) If y exceeds x by 25%, then x is less than y bya)10%  b)14%  c)12%  d)20%

14)The salary of Mr. X is 30% more than that of Mr. Y. Find what percent of Mr. Y's salary is less than  Mr. X's ?a)20(1/2)%  b)23(1/3)%  c)22(1/4)% d)26(1/7)%

15)In an examination 38% of students fail in English and 61% pass in Hindi and 23%fail in both. Find the actual failure percentage?a)50%  b)36%  c)60%  d)54%

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16) Two numbers are respectively 20% and 25% more than a third number. Then the percentage of the first in second is ?a)100% b)140% c)96% d)98%

17)A sells his goods 50% cheaper than B but 50% dearer than C . The cheapest isa)A b)C c)(a) &(b) both  d)D

18)The salary of a typist was first raised by 10% and then the same was reduced by 5%. If he presently draws Rs. 1045. What was his original salary ?a)100 b)1000c)1200 d)720

19) The tax on a commodity is diminished by 20% and its consumption increases by 15%. The effect on revenue is ?a)10% dec b)8 dec  c)10 incr   d)8 incr

20) A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many voteswere cast ?a)5610 b)7814 c)7500 d)7200

21) If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced so that the expenditure may remain the same as before?a)10%  b)33% c)33(1/4)%  d)33(1/3)%

22)Subtracting 10% from X is the same as multiplying X by what number?a)5/10 b)1/10 c)8/10 d)9/10

23)If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction.a)0.6 b)0.4 c)0.5 d)0.2

24)An engineering student has to secure 36% marks to pass. He gets 130 marks and fails by 14 marks . The maximum number of marks obtained by him is?a)500 b)200 c)300 d)400

25)A and B's salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A's salary ? a)1500 b)1200 c)1340 d)1256

Answers:1)d  2)c  3)a  4)b  5)c  6)d  7)c  8)c  9)d  10)a  11)a  12)a  13)d  14)b  15)c  16)c  17)b  18)b  19)b  20)c  21)d  22)d  23)c  24)d 25)a

2.1)A salesman's terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs. 1000 plus 2.5% commission on all sales

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exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous scheme, his sales were worth a)12000   b)13000   c)12500            d)None                                                 

2)5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on  account of fear. If now the population is reduced to 3553, how much was it in the beginning ? a)4500      b)4400  c)4600      d)None               

3)In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is   a)40%      b)50%  c)52%      d)None

4)A mixture of 70 litres of wine and water contains 10% water. How much water must be added to make water 12(1/2)% of the total mixture ?         a)4      b)3  c)1     d)2

5)The amount of water(in ml) that should be added to reduce 90 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol is?    a)6ml         b)3ml  c)5ml      d)None

6)The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it.    a)4%      b)12%  c)5%      d)None

7)At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360 marks, what percentage of full marks was obtained by D     a)40%      b)50%  c)80%      d)None

8)If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was a)100000      b)110000  c)130000      d)120000

9)There were two candidates in an election. Winner, candidate received 62% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate.a)744      b)844   c)644      d)None

10) Nitin's salary is reduced by 10% and then reduced salary is increased by 10%. Find how many percentage his present salary is less as compared to his previous salary?a)4      b)1%     c)2%      d)None

11)A man spends 10% of his income in house rent, 20% of the rest on his Childrens education, 25% of the rest on miscellaneous causes. If he now posses Rs. 1944 then his income isa)1744      b)1844  c)1944      d)None

12) In cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed ?

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a)40%      b)50%  c)52%      d)20%

13)The price of an article has been reduced by 25%. In order to restore the original price the new price must be increased bya)33(1/3)%      b)33(1/4)%   c)34(1/3)%      d)None

14)Two numbers are 30% and 37% less than a third number. How much percentage is the second number less than the first?a)40%      b)10%  c)52%      d)20%

15)A man saves 20% of his monthly salary. If on account of dearness of  things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?a)2000      b)4000  c)5000      d)2000

16)Fin the principle on a certain sum of money at 5% per annum for 2(2/5) years if the amount being Rs.1120a)2000      b)4000  c)5000      d)1000

17)What sum of money will produce Rs. 70 as simple interest in 4 years at 3(1/2) percent ?a)500      b)400  c)500      d)200

18)At what rate percent on simple interest will Rs. 750 amount to Rs. 900 in 5 years ?a)5%      b)4%  c)2%      d)6%

19)What is the rate percent when the simple interest on Rs. 800 amounts to Rs. 160 in 4 days ?a)2%      b)4%  c)5%      d)6%

20)Find the simple interest on Rs. 500/- for 9 months at 6 paise per month ?a)300      b)440  c)280      d)270

21)A certain sum amounts to Rs. 1725 in 3 years and Rs. 1875 in 5 years. Find the rate % per annum ?a)5%      b)4%  c)2%      d)6%

22)At what rate percent on simple interest will a sum of money double itself in 30 years ?a)4(1/3)%      b)3(1/3)%   c)5(1/3)%      d)None

23)Find the simple interest on Rs. 800/- for 7 months at 6 paise per month ?a)300      b)440  c)336      d)270

24)What is the rate percent when the simple interest on Rs. 500 amounts to Rs. 160 in 3 days ?a)12.67%      b)4%  c)5.67%      d)10.67%

25)The simple interest on a sum of money will be Rs. 600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the 10th year ?

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a)1200      b)1300   c)1400      d)None

Answers:1)a  2)b  3)c  4)d  5)a  6)b  7)c  8)d  9)a  10)b  11)c 12)d  13)a  14)b  15)c  16)d  17)a  18)b  19)c  20)d  21)a  22)b  23)c  24)d  25)a

3.1)Raghu deposited Rs. 8000 which amounted to Rs. 9200 after 3 years at simple interest. Had the interest been 2% more, he would get how much ?a)9680      b)9780      c)9880      d)None

2)If X is the interest on y and y is the interest on z, the rate and time is e same on both the cases. What is the relation between x, y and z?a)  x^2 = yz.       b)  y^2 = xz.        c) z^2 = xz.        d)None

3)Rs. 2500 are divided into two parts such that if one part be put out at 5% simple interest and the other at 6% the yearly annual income may be Rs. 140. How much was lent at 5%a)96       b)97        c)100        d)None

4)If Re. 1 amounts to Rs. 9 over a period of 20 years. What is the rate of simple interest ?a)50%       b)10%        c)30%        d)40%

5)Rs . 4000 was divided into two parts in such a way that when 1st part was invested at 3% and the 2nd at 5%, the whole annual interest from both the investments be Rs. 144, how much was put at 3%?a)144       b)134        c)124        d)114

6)If rupee one produces rupees nine over a period of 40 days, find the rate of simple interest?a)20(1/2)%       b)22(1/2)%        c)21(1/2)%        d)24(1/2)%

7)A certain sum of money doubles it self in 10 years in how many years wi9ll it treble itself at the same rate ?a)14       b)13        c)20        d)None

8)Rs. 1500 are divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum be Rs. 85. How much was lent at 5%a)95       b)65        c)75       d)85

9) The simple interest on a sum of money is 4/9 of the principal and the

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number of years is equal to the rate percent. Find the rate and time ?a)6(2/3)%       b)3(2/3)%        c)4(2/3)%        d)5(2/3)%

10)In what time will Rs. 4000 lent at 3% per annum on S.I earn as much interest as Rs. 5000 will earn in 5 years at 4% p.a on S.I ?a)6(1/3)%       b)8(1/3)%        c)4(1/3)%        d)5(1/3)%

11)In how many years will a sum of money doubles itself at 5% per annum simple interesta)60%       b)30%        c)20%        d)50%

12) A sum of money becomes trible itself in 5 years at simple interest. In how many years will it become six time at the same rate ?a)6(1/2)yrs       b)3(1/2)yrs        c)4(1/2)yrs        d)12(1/2)yrs

13)A sum of money becomes double itself in 8 years at simple interest. How many time will it become in 10 years at the same rate ?a)10yrs       b)4yrs        c)6yrs        d)12yrs

14) A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, Then the ratio of the sums invested isa)9:5       b)4:3        c)7:5       d)8:5

15) A certain sum amounts to Rs. 6900 in 3 years and to Rs. 7500 in 5 years at simple interest. What is the sum ?a)9500       b)6500        c)6000       d)8500

16) A sum of money becomes three times of itself in 8 years at simple interest. In how many years will it become six times of itself at the same rate ? a)10yrs       b)14yrs        c)16yrs        d)20yrs

             17)The equal amounts of money are deposited in two banks in each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interest is Rs. 144, find the each sum ?a)640       b)450        c)620        d)540

18)A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum ?a)1540       b)1640        c)1620        d)1520

19)If A lends Rs. 3500 to B at 10% per annum and B lends the same sum

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to C at 11.5% per annum then the gain of B in a period of 3 years isa)16.40       b)14.70        c)157.70        d)None

20)A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs. 340 less than the sum lent. What was the sum lent ?a)640       b)450        c)620        d)500

21)If Rs. 450 amount to Rs. 540 in 4 years, what will it amount to in 6 years at the same rate % per annum?a)585       b)450        c)620        d)540

                 22)Rs. 800 amounts to Rs. 920 in 3 years at simple interest. If the interest rate is increased by 35, it would amount to how much ?a)640       b)992        c)620        d)None

23) A and B can do a work individually 1n 12 and 8 days respectively. If C also joins them, the work can be completed in 4 days. The number of days required for C alone to do the work isa)10       b)20        c)24        d)15

24)A sum of money is sufficient to pay A's wages for 21 days are B's wages for 28 days. The number of days for which the money is sufficient to pay the wages of both A and B area)10       b)14        c)6        d)12

25) Ramu can do a work in 3 days and Raghu can do the same work in 12 days. Both of them finish the work together and to get Rs. 5000. What is the share of Raghu ?a)1000       b)9600        c)820        d)540Answers:1)a  2)b  3)c  4)d  5)a  6)b  7)c  8)d  9)a  10)b  11)c  12)d  13)a  14)b  15)c  16)d  17)a  18)b  19)c  20)d  21)a  22)b  23)c  24)d  25)a

4.1) A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days ? a)3.75       b)4.75         c)2.75       d)None

2) A and B can together can do a piece of work in 8 days. If A alone can do the same work in 12    days.Then B alone can do the same work ina)34       b)24         c)20       d)None

3) A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Fin in how many days can C alone do it ?

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a)34       b)24         c)20       d)None

4) A and B can do a piece of work in 6(2/3) days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work ?a)4(1/2)       b)3(1/2)         c)2(1/2)       d)1(1/2)

 5) A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 210 days. In  what time can A and B together do it ?a)13(1/3)       b)12(1/2)         c)15(1/2)       d)14(1/2)

6) A and B can do a piece   of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work ?a)4       b)9         c)7       d)8

 7) A and B can do a piece of work in 3 days. B and C in 4 days. C and A in 6 days. How long will C take to do it ?a)14       b)19         c)24       d)18

A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work ?a)4       b)9         c)7       d)6

9) A can do a piece of work in 40 days, B can do the same in 30 days. A started alone but left the work after 10 days. Then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the the work ina)24       b)19         c)17       d)18

10) A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed wasa)24       b)20         c)17       d)18

11) A and B can do piece of work in 6 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?a)24       b)19         c)30       d)40

12) Raghu can do a piece of work in 30 days While Ravi can do it in 40 days. In how many days will they finish it together ?a)12(1/7)       b)15(1/7)         c)16(1/7)       d)17(1/7)

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13) Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together ? a)9(3/8)       b)15(1/7)         c)16(1/7)       d)17(1/7)

14) A can do a job in 18 days and B can do it in 30 days. A and B working together fill finish twice the amount of work in a)20(1/2)       b)22(1/2)         c)16(1/2)       d)17(1/7)

15) A can do a piece of work in 10 days. B can do it in 15 days and C can do it  in 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long will work lost ?a)9(2/3)       b)15(2/3)         c)10(2/3)       d)17(2/3)

16) A can do a piece of work in 12 days. When he had worked for 2 days B joined him. If the complete work was finished in 8 days. In how  many days B alone can finish the work ?a)24       b)19         c)17       d)18

17) A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can b alone do it?a)10       b)19         c)17       d)18

18) A can do a piece of work in 15 days and b in 20 days. They begin the work together but 5 days before the completion of work. A leaves. The work was completed in ?a)11(1/7)       b)11(3/7)         c)10(3/7)       d)9(3/7)

19) A, B and C  can do apiece of work in 24,30 and 44 days respectively. They start the work together but C leaves 4 days before the completion of work. In how many days is the work done ?a)10       b)19         c)11       d)12

20) A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and b will finish it together ? a)10       b)9         c)7       d)5

21) A,B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?a)4       b)9         c)7       d)8

22) After working for 6 years, Raghu finds that 1/3 of the work has been done. He employes Ravi. Who is 60% as efficient as Raghu. How many days more would Ravi take to complete the work?

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a)10       b)20         c)17       d)18

23) A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work ? a)10       b)19         c)21       d)18

24) A, B and C can do awork in 6,8 and 12 days respectively doing the work together and get a payment of Rs. 1800. What is B's share ? a)500      b)900         c)700       d)600

25) If A, B and C can together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days  then C alone can do it ina)9       b)8         c)7       d)6

Answers:1)a  2)b  3)c  4)d  5)a  6)b  7)c  8)d  9)a  10)b  11)c  12)d  13)a  14)b  15)c  16)d  17)a  18)b  19)c  20)d  21)a  22)b  23)c  24)d  25)a

5.

1) 5 men and 12 boys finish a piece of work in 4 days. 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of man and boy isa)6:5      b)5:6      c)2:3      d)None

2) 9 men and 12 boys finish a job in 12 days. 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days ?a)10      b)12      c)11      d)None

3) If 12 men do a work in 80 days, in how many days will 16 men do it?a)70      b)50      c)60      d)None

4) A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work.?a)45      b)50      c)60      d)48

5) A can finish a piece of work in 5 days. B can do it in 10 days. They work together for 2 days and the A goes away. In how many days will B finish the work ?

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a)4      b)6      c)9      d)None

6) Raghu can finish a work in 20 days and Ravi in 25 days. They both work together for 5 days and then Ravi goes away. In how many days will Raghu complete the remaining work ?a)10      b)11      c)9      d)None

7) 16 men can complete the work in 25 days. In how many days can 20 men complete that work ?a)10      b)15      c)20      d)None

5 men are equal to as many women as are equal to 8 boys. All of them earn Rs. 90 daily. Men's wages are. a)100      b)50      c)90      d)30

9) 45 men working 8 hours per day dig 30m deep. How many extra men should be put to dig to a depth of 50m working 6 hours per day ?a)55      b)50      c)90      d)30

10) A is half good a work man as B and together they finish a job in 14 days. In how many days working alone will B finish the job?a)10      b)21      c)30      d)40

11) A and B can do piece of work in 8 days. B and C can do it 12 days and A and C in 16 days. Working together they will complete the work in how many days?a)11/48      b)12/48      c)13/48      d)None

12) Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7  days. The number of days in which only 7 men working 4 hours a day will finish the work as?a)10      b)6      c)9      d)5

13) A can do a piece of work in 20 days. B in 15 days and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next alternately?a)8      b)6      c)9      d)5

 14) 3men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?a)10/4      b)15/4      c)19/4      d)15/4

15) A is twice as good a workman as B and they took 7 days together to

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do the work B alone can do it in?a)10      b)16      c)21      d)20

16) A can do half the work in one day where as B can do full. B can also do half the work of C in one day. Ratio in their efficiency will be?a)1:4:2      b)2:3:5      c)1:2:3      d)1:2:4

17) A can do piece of work in 25 days. He worked for 15 days and then B completed the remaining work in 10 days. Both of them together will finish it in?a)12(1/2)      b)15(1/4)      c)19(1/2)      d)10(1/4)

18) A can do half of a certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in?a)50      b)60      c)70      d)None

19) If 3 workers collect 48 ck of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?a)50      b)60      c)72      d)None

20) Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days. They start working together. After working for 4 days. Anita goes away and Indu leaves 7 days before the work is finished. Only Geeta remains at work from beginning to end. In how many days was  the whole work done?a)15      b)14      c)17      d)16

21) A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs. 1480.a)100      b)60      c)70      d)None

22) 15 men take 21 days pf 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men.?a)50      b)30      c)70      d)None

23) Some persons can do a piece of work in 12 days. Two times the number of these person will do half of the work in?a)5      b)6      c)3      d)None

24) If 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by man with that of boy?a)1:3      b)1:4      c)1:2      d)2:1

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25) Two pipes X and Y can separately fill a cistern in 18 hours and 24 hours respectively. If they are turned on alternately for one hour each. How long will it take to fill the cistern?a)20(1/2)hrs      b)20hrs      c)22hrs      d)None

Answers:1)a  2)b  3)c  4)d  5)a  6)b  7)c  8)d  9)a  10)b  11)c  12)d  13)a  14)b  15)c  16)d  17)a  18)b  19)c  20)d  21)a  22)b  23)c  24)d  25)a

6..

1) The average of first 10 even numbers isa)11        b)12        c)13     d)14

2) The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number isa)11        b)11.5        c)12.5        d)14.5

   3) The average of first 10 prime numbers which are odd isa)16.8        b)11.5        c)15.8        d)14.5

4) The average of first 10 natural numbers isa)4.5        b)1.5       c)2.5        d)5.5

5) The average of first 10 odd numbers isa)10      b)11      c)12      d)14

6) The average of first 10 prime numbers isa)11.9        b)12.9       c)12.5      d)14.5

7) The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy ?a)10        b)11       c)9           d)14     

The C.P of 10 pens is equal to the S.P of 12 pens. Find the gain % or loss% ?a)10(2/3)%       b)11%      c)19%      d)16(2/3)%

9) The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8, what was the 5th observation.?a)9       b)11     c)10      d)14

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10) The average of 10 numbers is calculated as 15. It id discovered latter on that while calculating the average one number namely 36 was wrongly read as 26. the correct average is.a)10       b)16      c)9       d)14

11) The average of the first five prime numbers greater than 20 is ?a)10.2       b)11.2      c)32.2      d)14.2

12) The average age of 8 men increase by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women.a)10        b)40       c)90     d)30

13) The average salary of workers in an industry is Rs. 200 the average salary of 150 technicians being Rs. 400 and that of non-technicians being Rs. 125. What is the total number of workers ? a)550      b)450      c)500      d)400

14) A team of eight entered for a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for. The team would have been 84. How many points altogether did the team score ?a)555       b)665      c)500      d)600

 15) The average age of M boys is 'b' years and of 'n' girls 'c' years. The average age of all together isa)mb-nc / m-n        b)mb-nc / m+n       c)mb+nc / m+n           d)mb+nc / m-n

16) The average age of husband and a wife is 28 years when they were married five years ago of all together isa)6        b)1       c)9      d)4

17) A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ?a)37        b)30       c)19      d)47

18) In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs. 400. Find the total expenditure of the hostel now ?a)5000        b)5400       c)4400           d)4700

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19) Visitors to show were charged Rs. 15 each on the first day, Rs. 7.50 on the second day, Rs. 2.50 on the third day and total expenditure increased by Rs. 400. Find the total expenditure of the hostel now?a)7        b)3       c)5      d)4

20) A building contractor employes 20 male, 15 female and 5 child workers. To a male worker he pays Rs. 25 per day, to a female worker Rs. 20 per day and to a child worker Rs. 8 per day. The average wage per day paid by the contractor is a)18       b)30      c)19     d)21

21) A man purchased 3 blankets @ Rs. 100 each; 5 blankets @ Rs. 150 each and two blankets at a certain rate which is now slipped off from his money but he remembers that the average price of the blankets was Rs. 150. Find the unknown rate of two blanketsa)450        b)300       c)400           d)470

22) The average temperature of Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees if the temperature on Monday was 42 degree. Find the temperature on Friday?a)37        b)34       c)19      d)47

23) One tap can fill a tank in 2 hours while another can empty it in 3 hours. If both of them are opened together the time taken to fill the tank (in hours) isa)8        b)5       c)6     d)7

24) The surface area (in square cms) of box of dimension 25 cm*15 cm*8 cm isa)1392cm²      b)1380cm²      c)1290cm²     d)1390cm²

25) P and  Q can do a work in 18 days and 24 days respectively. They worked together for 6 days and then 'P' left. In how many days 'Q' can complete the remaining work.?a)10        b)15       c)16           d)11

Answers:

1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d   13)a  14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c

7. 1) The average age of 9 members of a committee is the same as it was 2 years ago, because an old member has been replaced by a young member. Find how much younger is the new member than the old member ?

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a)18      b)16       c)15      d)None

2) Nine men went to a hotel. Eight of them spent Rs. 3 each over their meals and the ninth spent Rs. 2 more than the average expenditure of all the nine. Determine the total money spent by thema)20.25        b)29.25       c)15.25       d)None

3) The average marks in mathematics scored by the pupils of a school at the public examination was 39. If four of these pupils who actually scored  5,12,15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of Pupils sent up for examination  from the school ?a)20        b)29       c)25       d)None

4) The average weight 25 persons sitting in a boat had some value, A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons ?a)160        b)170       c)155       d)176

5) The average salary per head of the entire staff of an office including the officers and clerks is Rs. 90. The average salary of the officers is Rs. 600 and that of the clerks is Rs. 84. If the number of officers is 12, find the number of clerks in the office ?a)1020        b)1030       c)1000      d)None

6) Three years ago the average age of a family of six members was 19 years. A bay having been born  the average age of the family is the same today. What is the age of boy ?a)2        b)1       c)5       d)None

7) The average of five results is 46 and that of the first four is 45. The fifth result is a)30        b)29       c)50       d)None

The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52, find the sixth result ?a)20        b)50       c)25       d)56

9) A path of uniform width rounds a rectangular field 45m * 35m and occupies 900 m², find the width of the path ?a)5        b)7       c)8       d)None

10) A room is 15 metres long, 4 metres broad and 3 metres high. Find the cost of  white washing its four walls at 50p. Per m²

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a)50        b)57       c)60       d)None

11) The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is a) 4:π       b) 5:π       c)6:  π     d)None

12) The dimensions of an open box are 52 cms, 40 cms and 29 cms. Its thickness is 2 cms. If 1 cm³ of metal used in the box weighs 0.5 gms, the weight of the box is ?a)50kgs        b)  6.9 kgs       c)  6.632 kgs       d)  6.832 kgs

13) A river 2 metres deep and 45 metres wide is following at the rate of 3 km/hr. The amount of water that runs into the sea per minute isa)4500 M³        b)3500 M³      c)5500 M³      d)1500 M³

14) A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 20 m long and 14 m wide. If the earth dug out is evently spread out over the field, the level of the field will rise by nearlya)2.90cm        b)2.98cm       c)2.88cm       d)2.66cm

15) The area of the cardboard (in cm²) needed to make a box of size 25cm * 15cm * 8cm will be a)1310 cm²        b)1360 cm²       c)1390 cm²       d)1380 cm²

16) The length of the longest rod that can fit in a cubical room of 4m side isa)6.918m        b)6.900m       c)6.926m       d)6.928m

17) A cylinder and a cone have a same height and and same radius of the base. The ratio between the volumes of the cylindr and cone is a)3:1        b)2:1       c)1:3       d)2:5

18) In digging a pond 20m*10m*5m the volume of the soil extracted will be a)1004 M³       b)1000 M³      c)1020 M³       d)1040 M³

19) A brick measures 20cm * 10cm * 7.5 cm. How many bricks will be required for a wall 25m * 2m * 0.75m

a)20000        b)30000       c)25000       d)None

20) If an box of dimensions 6m*5m*4m smaller boxes of dimensions 60cm * 50cm * 40cm are kept in it, then what will be the maximum number of

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the small boxes that can be kept in it ?a)2000        b)3000       c)2500       d)1000

21) Calculate the number of bicks, each measuring 25cm * 15cm * 8cm required to construct a wall of dimensions 10m * 4cm *5m when 10% of its volume is occupied by mortar ?a)6000        b)4000       c)5000       d)None

22) A rectangular field 30m long and 20m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8m long, 5.5m broad and 1.5m high where as the earth taken out is increases by 10/5a)30cm        b)10cm       c)20cm       d)None

                                                                    23) The area of a triangle is with base 4 m and height 5ma)8m^2        b)9m^2       c)10 m^2       d)11 m^2

24) The area of a triangle will be when a = 1m, b=2m, c=3m, a,b,c being lengths of respective sides .Then how many triangles exists.a)3        b)1       c)2       d)None

25) If the height of the cone is increased by 100% then its volume is increased bya)100%        b)80%       c)90%       d)120%

Answers:1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d   13)a  14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c   24)d  25)a   

8.1) The area of an equilateral triangle whose side is 8 cm isa)16√3             b)15√3     c)14√3     d)None

2) The length of each side of an  equilateral triangle having an area of 4√3 cm^2 isa)5             b)4    c)6     d)None

3) The altitude of an equilateral triangle of side 2√3 cm isa)5         b)4        c)3        d)None

4) The base of a right triangle is 8 and hypotenuse is 10. its area isa)15        b)14    c)20     d)24

 

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5) The sides of a triangle are in the ratio 5:12:13 and its perimeter is 300 m. its area isa)3000M^2             b)2000M^2    c)4000M^2     d)6000M^2

6) What is the area of square field whose side of length 15 ma)220        b)225    c)240     d)300

7) What is the area of square field  whose diagonal of length 20 ma)220        b)225    c)200     d)300

What is the perimeter of a square filled whose diagonal is 8√2,a)20        b)25    c)24     d)32

9) The ratio of the area of square to that of the square drawn on its diagonal isa)1:2        b)2:5    c)1:3     d)1:5

10) The perimeter of one square is 48 cm and that of another is 20cm. Find the perimeter and the diagonal of a square which is equal in  area two combined ?a)14√2            b)13√2        c)15√2         d)17√2   

 11) If the perimeter of a rectangular garden in 600 metres its length when its breadth is 100 metres is ?a)220m        b)210m    c)200m     d)250m

12) A rectangular field has area equal to 150 sq m and perimeter 50 m its length and breadth must bea)10,5        b)5,10    c)10,15     d)15,10

13) One side of a rectangular field is 4 m and its length along diagonal is 5m. What is the area of the field?a)12m^2        b)10m^2    c)14m^2     d)None

14) The side of the rhombus is 26 m and length of one of its diagonals is 20 metres. The area of the rhombus is a)400        b)480    c)460     d)490

15) The diagonals of the rhombus are 15 cm and 20 cm. Find its area ?a)100        b)180    c)150     d)190

16) The perimeter of a rhombus is 68 cm and one of its diagonal is 16 cm. Find its area ?

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a)200        b)280    c)260     d)240

17) The area of a parallelogram is 128 sq m and its altitude is twice the corresponding base. Then the length of the base isa)8       b)4    c)6     d)9

18) The side of square is increased by 25% then how much % does its area increasesa)54.25%        b)56.25%    c)50.25%     d)52.25%

19) The cross-section of a canal is a trapezium in shape. If the canal is 10 metres wide at the top and the 6 metres wide at the bottom and the area of the cross-section is 640 sq.m the depth of the canal isa)60       b)40    c)80     d)90

20) The radius of the circle is increased by 1%. Find how much % does its area increases ?a)4.01%        b)5.01%    c)3.01%     d)2.01%

21) Find the area of the quadrilateral if one of its diagonal is 20 cm and its off sets 9cm and 6 cma)150 cm^2        b)140 cm^2    c)130 cm^2     d)120 cm^2

22) Find the area of the circle whose radius is 7ma)160       b)154    c)180     d)190

23) A man walked 20 m to cross a rectangular field diagonally. If the length of the field is 16 m,find the breadth of the field?a)16       b)14    c)12     d)19

24) Sides of a rectangular park are in the ratio 3:2 and its area is 3750 sq.m the cost of the fencing it at 50 ps per meter isa)150       b)240    c)120     d)125

25) How many paying stones, each measuring 2(1/2) m * 2m are required to pave a rectangular court yard 30m long and 16 ½ m boarda)99       b)90    c)80     d)None

Answers:1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d   13)a  14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c   24)d  25)a 

9.

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1) The length of the rectangular field is double its width. Inside the field there is aquare shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?a)32        b)30        c)34        d)None

2) The area of the square field is 3136 sq.m. If the length of cost of drawing barrbed wire 3 times around the field at the rate of Rs. 1.50 per metre. Two gates of 1m width each are to be left for entrance. What is the total cost ?a)777       b)999        c)888       d)None

3) The length of the rectangle is thrice its breadth and its perimeter is 96m. Find the area of the rectanglea)232        b)332        c)432        d)None

4) A rectangular grass field is 75m * 55m. It has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs. 2 per sq.ma)400        b)500        c)600        d)675

5) A rectangular lawn of dimensions 80m * 60m has two roads each 10m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of travelling the two roads at Rs. 3 per sq ma)3900        b)3000        c)3400        d)None

6) The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area ?a)decreased        b) No change       c)increased       d)None

7) The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area ?a)39.5%        b)30.5%        c)37.5%        d)None

Find the cost of fencing around a circular field of diameter 28m at the rate Rs 1.50 a metre?a)120        b)128        c)130        d)132

9) The radius of a circular wheel is 1.75m. How many revolutions will it make in travelling 11 km ?a)1000        b)3000        c)2000        d)None

10) If the wheel is 14cm then the number of revolutions to cover a distance of 1056 cm is a)13        b)12        c)14        d)None

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11) The ratio the radi of two circles is 1:3 then the ratio of their areas isa)2:3        b)1:7        c)1:9        d)None

12) The radii of the two circular field is in the ratio 3:5 the area of the first field is what percent less than the area of the second ?a)70%        b)60%        c)34%        d)64%

13) A rope of which a calf is tied is increased from 12 m to 23m. How much additional grassy ground shall it graze?a)1210        b)1200        c)1300        d)None

14) Ram sold two bicycles each for rs. 990. If he made 10% profit on the first and 10% loss on the second. What is the total cost of both bicycles ?a)1500        b)2000        c)1000        d)None

15) The radius of the semi circle is 6.3 cm then its perimeter isa)28.4        b)30.4        c)32.4        d)None

            16) The perimeter of a semi circle is 144 cm then its radius isa)25        b)20        c)30        d)28

17) A circular path of 13 metres radius has marginal walk 2 metres wide all round it. Find the cost of levelling the walk at 25 p. per ma)44        b)40        c)30        d)48

18) A paper is in a square form whose one side is 20cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper ?a)300 - 100 Π        b)400 - 100 Π        c)400 - 200 Π        d)400 - 300 Π

19) The area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm isa)9.85        b)7.85        c)8.75        d)None

20)The area of a sector of a circle whose radius is 12 metro and whose angle at the centre is 42 degree is ?a)51.8        b)54.8        c)50.7        d)52.8

21) A metallic sphere of radius 'r' is melted into a cone radius '2r'. What is

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the height of the cone thus formed ?a)r        b)r^2        c)r^3        d)None

22) The length of the rectangle is 1(1/3) times its breadth. If it's area is 768 cm?, what is its length ?a)30        b)32        c)33        d)None

23) By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?a)9%        b)7%        c)8%        d)None

24) The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent ?a)10(2/11)%        b)14(2/11)%        c)16(2/11)%        d)18(2/11)%

25) By selling 50 m of cloth, i gain the selling price of 15 m. Find the gain percent ?a)  42 (6/7)%        b)40(6/7)%        c)40(2/11)%        d)42(2/11)%

Answers:1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d   13)a  14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c   24)d  25)a   

10.1) The edge of a cube is 2a cm. Find its surface a)24a^2        b)20a^2        c)22a^2          d)None

2) The surface of a cube is 24 sq. cm. Find its volumea)6c.c        b)8c.c        c)7c.c          d)None

3) The volume of a cube is 1728 cc. Find its surface ?a)800        b)860        c)864         d)None

4) How many cubes of edge 2 dm can be cut out of a meter cube ?a)150        b)100        c)120          d)125

5) The edges of three cubes of metal are 3dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube.a)6        b)5        c)8          d)None

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6) The edges of cuboid are 4cm, 5cm and 6cm. Find its surface areaa)146 cm^2        b)148 cm^2        c)140 cm^2          d)None

7) The edges of a cuboid are 4 cm, 5c and 6 cm. Find the volume of the cuboid.a)100cc        b)110cc        c)120cc          d)None

The edges of a cuboid are respectively 3 cm, 4 cm and 12 cm. Find the length of the diagonal of cuboid.a)15        b)12        c)10          d)13

9) If the side of two cubes are in the ratio 3:1 the ratio of the their total surface area isa)9:1        b)7:1        c)8:1          d)None

10) The area of the floor of a room is 20 m^2 that of a longer wall 15 m^2 and of the shorter wall 12m^2. Find the volume of the room ?a)40 m³        b)60 m³        c)80 m³          d)None

 11) The edges of three iron cubes are 6 cm; 8cm; 10 cm respectively. A new cube was made by melting them. Find the edge of the new cube ?a)15        b)10        c)12          d)13

12) Find the length of the wire required to go 15 times round a square field containing ?a)15830        b)158600        c)15800          d)15840

13) What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high ?a)13        b)10        c)12          d)15

14) The volumes of two cubes are in the ratio 27:125. What shall be the ratio of their surface areas ?a)9:20        b)9:25        c)9:22          d)None

15) The area of the four walls of a room is 120 m^2 and its length is twice the breadth the height being 4 metres, find the area of the floor ?a)130        b)100        c)120          d)150

16) The areas of two spheres are in the ratio 1:4. The ratio of their vilume isa)1:3        b)2:3        c)1:2          d)1:8

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17) If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm^2) is a)100 π cm²         b)120 π cm²         c)130 π cm²           d)None

18) A spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameter of two of these are 1 ½ cm and 2 cm respectively. The diameter of the third ball isa)2.3        b)2.5        c)1.2          d)1.8

19) The radius of the cylinder is 2 r units and height is 3r units. Find its curved surface a)8πr^2        b)10πr^2        c)12π r^2          d)None

                    20) The diameter of a cylindrical tin is 6 cm and height is 5 cm. Find the volume of the cylinder.a)44π cc        b)42π cc        c)40π cc          d)45π cc

 

21) The radius of the cylindrical vessel is 7 cm and height is 3 cm. Find the whole surface of the cylinder.a)440        b)420        c)460          d)400

22) Find the expenditure on digging a well 14 m deep and of 3 m diameter at Rs. 15 per cubic meter ?a)1400        b)1485        c)1460          d)None

23) Two cyliders are of the same height. Their radii are in the ratio 1:3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder ?a)400        b)300        c)360          d)None

24) Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratioa)3:2        b)2:3        c)2:1         d)1:2

 25) The radius of the base of the cone is 3 cm and height is 4 cm.Find the volume of the cone ?a)12 π cm²         b) 10π cm²         c)8 π cm²           d)None

Answers:1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d   13)a  14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c   24)d  25)a11.1) The length and breadth of a rectangle are in the ratio 3:2. Its area is

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1350 square metres. What is its length ?a)45m           b)40m            c)44m        d)None

2) A wire of length 132 cm is bent to form a rectangle whose sides are in the ratio 7:4. The area (in square cms)of the rectangle isa)1010           b)1008            c)1000        d)None

3) The number of iron rods each of length 14 metres and diameter 2 cm that can be made out of 0.88 cubic metres of iron isa)100           b)400            c)200        d)None

4) A tradesman by means of his false balance defrauds to the extent of 20% in  buying goods as well as by selling the goods. What percent does he gain on his outlay ?a)42%           b)46%           c)40%        d)44%

5) A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 gms per kg. What is his gain percent ?a)25%           b)26%           c)30%        d)None

6) What is the single discount equal to discount series of 30%, 20% and 10% ?a)58%           b)59.6%           c)59%        d)None

7) 62% of a number exceeds 49% of the same number by 260. What is 50% of the same number ?a)1200           b)1500           c)1000        d)None

The height of a cylindrical vessal is 120 cm. If the height of the oil column in the vessal is 72 cm. What percent of total volume of the vessal is filled with oil ?a)52%           b)58%           c)59%        d)60%

9) 40 boys can prepare 60 boxes in 24 days at 6 hours per day. How many more boys should be employed to prepare 150 boxes in 30 days at 8 hours per day ?a)20           b)10           c)25        d)None

10) The volume and the curved surface area of a cylinder are 2816c.c and 704 cm², what is its radius ?a)10cm           b)8cm           c)12cm        d)None

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 11) The diameters of two circles are in the ratio2:3. What is the ratio of their perimetersa)1:2           b)1:3           c)2:3        d)None

12) After 9 years 'A' will be the twice what he was 3 years ago. What is the present age of A?a)12           b)13           c)12        d)15

13) The average mark of 72 students in a class is 35. The average mark of passed student is 60 and that of failed students is 20. How many students passed the exam ?a)27           b)30           c)20        d)None

14) What is the least number, that is perfect cube and contain 40 as a factor ?a)1200          b)1000           c)1100        d)1500

15) In a class 50% of the students passed in physics, 70% passed in English and 15% failed in both physics and English. Find the pass percentage of the class ?a)28%           b)30%           c)35%        d)None

16) The product of two integers is 1280 and their HCF is 8. The L.C.M of the two objects isa)150           b)120           c)140        d)160

17) The area of a base of a cone is 30 cm^2. If the height of the cone is 6 cm. Find its volume.a) 60 cm²           b)40 cm²            c)50 cm²         d)None

18) The slant height of a cone is 12 cm and radius of the base is 4 cm, find the curved surface of the cone?a) 60 cm²           b)48 cm²            c)50 cm²         d)None

19) The curved surface of a sphere is 64 π cm^2. Find its radiusa) 6cm           b)5 cm            c)4cm        d)None

20) Find the ratio between whole surfaces of a sphere and a hemisphere.a)2:3           b)5:3            c)1:2         d)4:3

21) How many shots of 1 cm radius can be prepared from a sphere of 3

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cm radius.a) 27          b)20            c)25         d)None

22) A circular park is surrounded by a circular path. The difference between the circumferences of the outer and inner circles is 88 m . What is the width of the path ?a)10m           b)14 m            c)12m         d)None

23) Ram professes to sell his goods at the cost price but he made use of 900 gms instead of a kg. What is the gain percent ?a)12(1/9)%           b)10(1/9)%            c)11(1/9)%        d)None

24) The surface area of a sphere is 616 cm². What is the surface area (in square cm) of the corresponding hemi-sphere ?a)466 cm².           b)464 cm²            c)460 cm².         d)462 cm²

25) What is the area of the metal sheet required to make a hollow box dimensions 2m*1m*1.5m ?a)13m²           b)14m²            c)16m²         d)None

Answers:1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d   13)a  14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c   24)d  25)a    

12.1) Mr. Rao has to cover 180 km. In 4 hrs. If he travels at 50 kmph per hour. For the 1st 3 hrs. What would be the speed in the final hour ?a)30       b)20       c)40      d)None

2) The number of revolutions made by the wheel of 42 cm diameter in traveling a distance of 1320 metres.?

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a)3000       b)5000       c)4000      d)None

3) If two third of a pole is blue, one-fourth of the remaining is red and the remaining 12 cm is green.  What is the total length of the pole ?a)30       b)40       c)48      d)None

4) A clock strikes once at 1'O clock twice at 1'O clock and so on. How many times does it strike in a day ?a)130       b)120       c)140      d)156

5) If three-fifth of a number is 48. What will be two-fifth  of 300% of the same number ?a)96       b)90       c)80      d)None

6) When 24 is subtracted from a two digit number, it reduces to its 40 percent. What is the number ?a)30       b)40       c)50      d)None

7) A bus covers 180 km in 4 hrs. Another bus covers the same distance in 1 hr less. What is the difference in the distances covered by these two buses in 1 hr ?a)30       b)20       c)15      d)None

On a drawing sheet if a 16 cm bar is represented by a line 1/3 cm, the actual length of a steel bar which measures 2(1/4) cm on the drawing sheet isa)130       b)160       c)140      d)108cm

9) The sum of the three numbers is 980. If the ratio of the first to the second is 2:3 and that of second to the third is 5:8, what is the second number ?a)300       b)200       c)400      d)None

10) The speed of a boat in still water is 12 kmph and its speed against the current is 8 km. In how many minutes it can cover 24 km in the direction of the flow ?a)80       b)90       c)70      d)None

11) Through how many degrees angle, the hour hand of a clock move in 44 minutes.?a)30       b)20       c)22      d)None

12) A cycle is bought for Rs. 900 and sold for Rs. 1080. find the gain percent

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a)10%       b)18%       c)40%      d)20%

13) An article is bought for  Rs. 675 and sold for Rs. 900, find the gain percentage?a)33(1/3)%       b)32(1/3)%       c)33(1/2)%      d)None

14) An article is bought for Rs. 600 and sold for  Rs. 500 find the loss percentage?a)15(2/3)%           b)16(2/3)%          c)14(2/3)%      d)None                   15) The cost price of the radio is rs. 1500 and it was sold for rs. 1230, find the loss percentage?a)10%       b)16%       c)18%      d)20%

16) A watch was sold at a loss of 10%. If it was sold for Rs. 140 more, there would have been a gain of 4%. What is the cost price ?a)800       b)900      c)500      d)1000

17) The sale price of sarees listed for Rs. 400 after successive discounts 10% and 5% is ?a)342      b)340      c)350      d)400

18) The list price of an article is rs. 65. A coustomer pays rs. 56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?a)8%       b)4%      c)5%     d)None

19) A single discount equivalent to the discount series of 20%, 10% and 5% is ?a)28.6      b)30.6      c)31.6      d)None

20) What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be loss of 20% ?a)18%       b)14%      c)15%     d)20%

21) A trader bought a car at 20% discount on its original price. He sold it at a 40% increases on the price he bought it . What percent of profit did he make on the original price ?a)12%       b)14%      c)15%     d)20%

22) A man sells a hourse for rs. 800 and loses something. If he had sold it for rs. 980, his gain would have been double the former loss. Find the cost price of the hourse ?a)800       b)860      c)500      d)900

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23) By selling a hourse for rs. 45000, it was found that 1/8 of the outlay was gained, what ought the selling price have been in order to have a lost 5 p.c ?a)37000       b)39000      c)38000      d)None

                            24) If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?a)7       b)9      c)5      d)8

25) By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find his gain percent?a)25%       b)10%      c)20%      d)22%

Answers:1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d   13)a  14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c   24)d  25)a 13.1)A dishonest dealer professes to sell his goods at a cost price but uses a false weight and gains 25% . Find his false weight ?a)800        b)900        c)700      d)None

2) A watch is sold for Rs. 1080 at a loss of 10%. The cost price of the watch (in rupees) isa)800        b)1200        c)1000      d)None

3) A and B invested Rs. 60,000 and 90,000 in a business. B withdraw his capital after 6 months. In what ratio they have to divided the annual profit ?

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a)1:4        b)1:3        c)1:1      d)None

4) In Delhi 90% of the people own a car, 15% of the people own a motorcycle. If the people in Delhi own either a car or a motorcycle or both, what percent of the people in Delhi own both car and motorcycle.a)8%        b)9%       c)7%      d)5%

5) A man purchases 8 pens for Rs. 9 and sells 9 pens for Rs. 8 how much profit or loss does he make ?a)20.98%        b)20.28%       c)20.27%      d)None

6) A reduction of 40% in the price of bananas would enable a man to obtain 5 kgs more for Rs. 800. What is the reduced price per kg ?a)8        b)3       c)7      d)5

7) A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs. 800. What is the reduced price per kg ?a)30        b)20        c)40      d)None

A reduction of 20% in the price of salt enables a lady to obtain 10 kgs more for rs 100, find the original price per kg ?a)3.5        b)3        c)3.5      d)2.5

9) A man buys two articles for Rs. 1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss ?a)1%        b)2%       c)3%      d)5%

10) A man sells two articles for Rs. 3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss percent ?a)8%        b)9%       c)7%      d)5%

11) I bought two books for Rs. 480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss ?a)260       b)270       c)280      d)200

12) A man buys an article and sells it at a profit of 20%. If he had bought it for 20% less and sold it for Rs. 75 less, he could have gained 25%. What is the cost price ?a)380       b)300       c)370      d)375

          13) A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs. 55 more he would have a profit of 40%. Find the cost price ?

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a)250       b)270       c)280      d)200

        14) If a goods be purchased for Rs. 840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold as to gain 20% on the whole transaction ?a)31(1/3)%       b)33(1/3)%      c)30(1/3)%      d)None

15) Oranges are bought at 11 for a rupee and an equal number more at 9 a rupee. If these are sold at 10 for a rupee, find the loss or gain percent ?a)80%        b)90%       c)100%      d)50%

16) A dealer purchased an article at ¾ of its list price and sold 50% more than the list price. Find his gain percent ?a)50.5        b)58.5       c)60.5     d)62.5

17) By selling an article for Rs. 110 a man loses 12%. For how much should be sell it to gain 8% ?a)135        b)130       c)120      d)None

18) The price of sugar increased by 25%. By what percentage, a house holder must reduces his consumption so as not to increase the expenditure on this amount ?a)35%        b)20%       c)25%      d)None

19) Find the compound interest and the amount on the rs. 8000 at 5% per annum for 3 years when C.I is reckoned yearly.a)1240        b)1260       c)1261      d)None

20) If Rs. 7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid isa)8114        b)8118       c)8110      d)8112

21) Find out the C.I on Rs 5000 at 4% p.a compounded half-yearly for 1 ½ years.a)306.04        b)304.04       c)300      d)None

22) Rs. 8000 become rs. 9261 in a certain interval of a time at the rate of 5% p.a of C.I find the time?a)1        b)3       c)5      d)None

23) At C.I., a sum  of amounts to Rs. 2,420 in 2 years and to Rs. 2662 in 3 years. What is the rate of interest ?  a)15        b)13      c)10      d)None

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24) At the end of three years what will be the compounded interest at the rate of 10% p.a on an amount of rs 20000.a)6208        b)6640       c)6600      d)6620

25) Find the C.I on a sum of Rs. 1600 for 9 months at 20% per annum, interest being compounded quarterly?a)2522        b)2500       c)2560      d)None

Answers:

1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d   13)a  14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c   24)d  25)a    

14.1) The C.I on a certain sum for 2 years  Rs. 41 and the simple interest is Rs. 40. What is the rate percent ?a)5%        b)10%      c)7%      d)None

2) The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times it self ?a)5        b)6      c)7      d)None

3) A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself ?a)10        b)16      c)12      d)None

4) A sum of money deposited at C.I amounts to Rs. 2420 in 2 years and to Rs. 2662 in 3 years   Find the rate percent ?a)5%        b)9%      c)7%      d)10%

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5) Find the sum lend at C.I at 5 p.c per annum will amount to Rs. 441 in 2 yearsa)400        b)500      c)600      d)None

6) A property decreases in value every year at the rate of 6(1/4) % of its value at the beginning of the year. Its value at the end of 3 years was Rs. 21093.95, find its value at the beginning of the 1st year.a)21093.85       b)21093.95     c)21094.95      d)None

7) Find the least number of complete years in which a some of money put out at 25% compound interest will be more than double of itself ?a)7        b)5      c)4      d)None

The difference between simpleinterest and C.I at the same rate for Rs. 5000 for 2 years is Rs. 72. The rate of interest isa)140        b)150      c)120      d)125

9) The difference between the simple interest and compund interest on a certain sum of maney for 3 years at 6 2/3% p.a is Rs. 184. Find the sum ?a)13500        b)14500      c)13000      d)None

10) A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs. 482 more if the interest were payble half-yearly, then it were pay able yearly. Find the sum.a)400       b)482      c)425      d)420

11) The difference between the compound interest and S.I on a certain sum of money for 2 years at 10% per annum is Rs. 15. Find the sum of money ?a)1300        b)1500      c)1400      d)None

12) The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs. 144. Find the principala)4        b)5     c)2      d)1

13) What sum of money put at C.I amounts in 2 years to rs. 8820 and in 3 years to Rs. 9261a)8000        b)6000      c)5000      d)7000

14) Find the amount on Rs. 8000 in 9 months at 20% per annum, if the interest being compounded quarterlya)9200        b)9261      c)9264      d)None

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15) Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs. 64000 ?a)79000        b)80000      c)81000      d)None

16) Rajan borrowed Rs. 4000 at 5% p.a compound interest. After two years, he repaid Rs.2210 and after two more years, the balance with interest. What was the total amount that he paid as interest ?a)600.5        b)620.50      c)630.40      d)635.50

17) Indu gave Bindu Rs. 1250 on compound interest for 2 years at 4% per annum. How much loss would Indu have suffered had she given it to Bindu for two years at 4% per annum simple interest ?a)2       b)6      c)5      d)7

18) In one year the population of the village increased by 10% and the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning ?a)8000        b)7920      c)7800      d)None

19) How much more would rs. 20, 000 fetch, after two years, if it is put at 20%p.a compound interest payable half yearly than if it is put at 20% p.a compound interest payable yearly ?a)7200        b)7400      c)7482      d)7000

20) A money lender lends Rs. 2000 for six months at 20% p.a rate. If the interest is reckoned quarterly, then find the amount given after time limit.a)1800        b)2100      c)2200      d)2205

                  21) A sum amount to Rs. 1344 in two years at simple interest. What will be the compound interest on the same some at the same rate of interest for the same perioda)None        b)6%      c)5%      d)7%

         22) The population of the city increases at the rate of 4% p.a but there is an additional annual increase of 1% in the population due to some job seekers. The percentage increases in the population after 2 years isa)10%        b)10.25%      c)5000      d)None

23) Find the amount on Rs. 5000 in 2 years, the rate of interest being 4% per first year and 5% for the second yeara)5000        b)5400      c)5460      d)None

24) A person can swim in still water at 4km/hr. If the speed of water 2 km/h, how many hours will the man take to swim back against the current

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for 6 km.a)8        b)6     c)5      d)3

25) A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the streem isa) 5/2       b)5/3      c)5/6      d)None

Answers:

1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d   13)a  14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c   24)d  25)a 

15.1) The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water isa)12       b)10        c)14        d)None

 2) The speed of a boat in still water is 12kmph and the speed of the flow water is 4 kmph. In how many hours it can cover 32 km in the direction of the flow ? a)1       b)2        c)4        d)None

3) The g.c.d of two numbers is 38 and their L.C.M is 98154. If one of the number is 1558 then the other  number is. a)2380       b)2390        c)2394        d)None

4) The marketing price of an article is Rs. 1500. Two  successive discounts of  3% each are given on it. What is the selling price of the article ?a)1400       b)1411.20        c)1411        d)1411.35

5) If a cube of side 8 cm. Is cut into cubes each of side 2 cm, then the number of small cubes isa)64       b)60        c)62        d)None

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6)If two-seventh of a number is 54. what is two-ninth of the same number ?a)40       b)42        c)44        d)None

7)The sides of a triangle are in the ratio 5:3:7. If the perimeter of this triangle is 60 cm, what is the  length of the smallest side ?a)15       b)10        c)12        d)None

The area of a square garden is 2.25 sq.km. How long will it take for a man walking at 2 kmph to complete one round the garden. ?a)6       b)5        c)4        d)3

9) What will be the sum of biggest and smallest numbers obtained by using digits 4, 8, 1, 7, and 3 only once.a)100909       b)100908       c)100907       d)None

10) The sum of three consecutive odd natural numbers is 147. What is the middle number.?a)48       b)49       c)47       d)None

11) A number s doubled and 8 is added. If the resultant is trepled, it becomes 60. What is the number ?a)9       b)8       c)6       d)None

12) Ragani and malathi start walking to meet one another from places 12 km apart. If Ragani walks at the rate of 2.8 kmph and Malathi at 1.2 kmph, how many hours will it be before they meet ?a)9       b)8       c)7       d)3

13) An aeroplane covers a certain distance at a speed of 320 kmph in 4 hrs. To cover the same distance in 2 (2/3) hrs, it must travel at a speed of  a)480       b)490       c)470       d)None

14) An amount of money is to be divided among A, B and C in the ratio 9:4:16. if C gets 4 times as much as B receive, What is A's share in it ?a)1000       b)None       c)3000       d)2000

15) A man can row his boat with the stream at 6km/h and against the stream in 4km/h. The man's rate isa)9       b)6       c)5       d)None

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16) A man can swim in still water at 4.5m/h but takes twice as long to swim upstream than downstream . The speed of the stream isa)1.2       b)1.3       c)1.4       d)1.5

17) A man can row with the speed of 15 kmph in still water. If the stream flows at 5 kmph, then his speed in downstream isa)20       b)30       c)40       d)None

18) A man can row upstream at 25 kmph and downstream at 35 kmph, then find the speed of the man in still water ?a)20       b)30       c)40       d)50

  19) A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current isa)2       b)3       c)5       d)None

20) A man swims downstream 30 km and upstream 18 km taking 3 hours each time;  what is the speed of the man in still water ?a)2       b)3       c)4       d)8

21) A man swims downstream 72 km and upstream 45 km taking 9 hours each time; What is the speed of the current ?a)1.5       b)1.30       c)1.40       d)None

22) A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. How far is the place? a)2.87       b)2.88       c)2.3       d)None

23) A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance travelled by the man ?a)5.2       b)5.3       c)5.76       d)None

24) The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?a)2       b)3       c)4       d)8

25) A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in the river which flows at 1.5 kmph, find his average speed of the total journey?a)4       b)3       c)5       d)None

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Answers:

1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d   13)a  14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c   24)d  25)a 

16.1) 12 boys  complete a work in 18 days. Six days after they had started working 4 boys joined them. How may days will all of them take to complete the remaining work ?a)9         b)10           c)8        d)None

2) The average of 'a' numbers is m and the average of 'b' of them is n. The average of the others.?a)a+b         b)a-b           c)2a+b        d)None

3)At what angle the hand of the clock are included at 20 min. past 8 O' clock ?a)110         b)120           c)130        d)None

4) Mr. Raghu was born on Sunday. His sister Shalini is 748 days younger to him. On which day of the week was Shalini born?a)Thrusday         b)Tuesday          c) Monday        d) Sunday

5) If 90 is 305 of a number then 90% of that number will bea)270         b)250           c)200        d)None

6) What is the number that should be subtracted from each element of the ratio 5:7, so that it changes to 1:2.a)4         b)3           c)5        d)None

7) If two numbers are respectively 50% and 60% of the third number, what percentage of the 1st one is the second one.?a)100%         b)110%           c)120%        d)None

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                  What is the G.C.D of 24, 36 and 72 ?a)11         b)10           c)13        d)12

9) Two pipes A and B can fill a cistern in 12 minutes and 15 minutes respectively. Both are open together but after 3 minutes A is turned off. After how much more time will the cistern be filleda)1         b)2           c)3        d)None

10) A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom . If the cistern is full, the leak will empty it in a)11/10         b)1/10           c)13/10        d)None

11) Two pipes A  and B can separately fill a tank in 12 minutes and 15 minutes respectively. A third pipe C can drain off 45 litres of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank ?a)520         b)500           c)540        d)None

12) A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 litres per minute. When the tank is full the inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is a)5720         b)5740           c)5700        d)5760

   13) Two pipes A and B can seperately fill a cistern in 10 minutes and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fulla)6         b)10           c)13        d)12

14) An outlet pipe can empty 2/3rd of a cistern in 12 minutes, in 8 minutes, what part of the cistern will be emptied ?a)6/9         b)4/9          c)2/9        d)None

15) Two pipes can separately fill a tank in 20 hours and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank ?a)6         b)10           c)16        d)12

16) If two pipes function simultaneously the reservoir will be filled in 12

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hours. One pipe fills the reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?a)10         b)30           c)30        d)20

17) Two pipes P and Q, would fill a cistern in 18 and 24 minutes respectively. Both pipes being opened,find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes ?a)9         b)10           c)13        d)12

18) A cistern  which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it       a)60         b)90           c)80        d)None

19) A pipe can fill a cistern in 20 minutes where as the cistern when full can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full ?a)60         b)50           c)70        d)None

20) Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened on alternate minutes. Find the how many minutes, the cistern shall be full ?a)6         b)10           c)13        d)12

21) Two pipes A and B can fill a cistern in 20 and 30 minutes respectively. And a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time ?a)120/7        b)100/7           c)130/7        d)None

22) Two pipes A and B can seperately fill a tank in 12 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank ?a)6         b)10           c)13        d)12

23) Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together but at the end off 3 minutes the first is turned off. How much longer will the cistern take to fill ?a)6         b)10           c)1       d)2

24) A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 litres a minute into the cistern, and it is now emptied in 24 minutes. How many litres does the cistern holda)1/24         b)1/20           c)-1/20        d)-1/24

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25) Two taps can seperately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern ina)9         b)10           c)13        d)12

Answers:

1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d   13)a  14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c   24)d  25)a   

17.1. Two pipes A and B can fill a cistern in 20 and 30 minutes respectively. And a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time ?a)120/7        b)121/7         c)118/7        d)None

2. Two pipes A and B can separately fill a tank in 12 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank ?a)12        b)10         c)11        d)None

3. A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs. 10 per meter. The area of farm is 1200 m? and the short side is 30 m long. How much would the cost ?a)1100        b)1000         c)1200        d)None

4. A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 litres a minute into the cistern, and it is now emptied in 24 minutes. How many litres does the cistern holda)1/20        b)-1/20         c)1/24        d)-1/24

5. Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern ina)9        b)7         c)8        d)None

6. A cistern is filled by a tap in 3(1/2) hours. Due to leak in the bottom of the cistern, it take half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it ?a)20        b)28         c)24        d)-1/24

7. A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are

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opened in order at 1.2 and 3 A.M. When will the cistern be empty ?a)8        b)6         c)5        d)None

8. Two pipes and B can fill a tank in 4 hours and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank isa)28        b)26         c)25        d)24

9. Two pipes A and B can fill a cistern in 12 minutes and 15 minutes respectively. Both are open together but after 3 minutes A is turned off. After how much more time will the cistern be filleda)1        b)2         c)5        d)None

10. A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom . If the cistern is full, the leak will empty it in a)1/9        b)1/10         c)2/10        d)None

11. Two pipes A  and B can separately fill a tank in 12 minutes and 15 minutes respectively. A third pipe C can drain off 45 litres of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank ?a)500        b)520         c)540        d)None

12. A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 litres per minute. When the tank is full the inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is a)5000        b)5600         c)5700        d)5760

13. Two pipes A and B can separately fill a cistern in 10 minutes and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fulla)6        b)2         c)5        d)None

14. An outlet pipe can empty 2/3rd of a cistern in 12 minutes, in 8 minutes, what part of the cistern will be emptied ?a)2/9        b)4/9         c)5/9        d)None

15. Two pipes can separately fill a tank in 20 hours and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?

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a)15       b)12         c)16        d)None

16. If two pipes function simultaneously the reservoir will be filled in 12 hours.One pipe fills the reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?  a)10        b)12         c)15        d)20

17. Two pipes P and Q, would fill a cistern in 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes ?a)9        b)8         c)5        d)None

18. A cistern  which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it ?a)80        b)90         c)50        d)None

19. A pipe can fill a cistern in 20 minutes where as the cistern when full can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full ?a)50        b)60         c)70        d)None

20. Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened on alternate minutes. Find the how many minutes, the cistern shall be full ?a)11        b)20         c)15        d)12

21. Pipe A can fill an empty tank in 6 hours, while pipe B can empty the full tank in 7 hours. If both are opened in the empty tank it will be full in (in hours)a)1/42        b)1/40         c)1/44        d)None

22. Two pipes A and B can fill a tank in 5 hours and 20 hours respectively. Both pipes together can fill it in (in hours)a)1/3        b)1/4         c)1/5        d)None

23. A cistern is filled by a tap in 3(1/2) hours. Due to leak in the bottom of the cistern, it take half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it ?a)26        b)27         c)28        d)None

24. A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1.2 and 3 A.M. When will the cistern be empty ?a)3        b)2         c)4        d)5

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25. Two pipes and B can fill a tank in 4 hours and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank isa)4hrs24min       b) 6hrs24min          c) 5hrs24min         d)None

Answers:1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d  13)a   14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c  24)d   25)a 18.1. A, B and C invested rs. 6300 Rs. 4200 and Rs. 10,500 respectively, in a partnership business. Find the share of A in profit of Rs. 12,100 after a year.a)3630      b)3450      c)4500      d)3680

2. A, B, C and D enter into partnership. A subscribes 1/3 of the capital B1/4, c1/5 and D the rest. How much share did A get in a profit of rs. 2460 ?a)800      b)820      c)850      d)790

3. If Rs. 3250 be divided among Ram, Shyam and Mohan in the ratio of ½ : 1/3 : ¼ then the share of each is a)1500,100,750      b)1500,1200,750     c)1500,1000,750    d)750 ,1500,1000

4. A and B entered into partnership investing  Rs. 25000 and Rs. 30000 respectively. After 4 months C also joined the business with an investment of rs. 35000. What is the share of C in an annual profit of Rs. 47000 ?a)1400      b)14500      c)15000     d)14000

5. A and B enter into partnership with capital as 7:9. At the end of 8 months. A withdraws, if they receive the profits in the ratio of 8:9  find how long B's capital was found a)7      b)8     c)6     d)8

6. A and B begins business with rs. 3000 and rs. 4000 after 8 months, A withdraws Rs. 1000 and B advances  rs. 1000 more. At the end of the year, their profits amounted to rs. 630 find the share of A.a)200      b)240      c)310      d)280

7. A starts business with a capital of rs. 1200 B and C join with some investments after 3 and 6 months respectively. If at the end of the year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business ?a)2500      b)2600      c)2400     d)2800

8. A, B and C together started a business. A invested Rs. 6000 for 5 months B invested rs. 3600 for 6 months and C Rs. 7500 for 3 months. If

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they get a total profit of Rs. 7410. Find the share of Aa)2500      b)3500      c)4000      d)3000

9. If 6(A's capital) = 8(B's capital) = 10(C's capital). Then the ratio of their capitals isa)20 : 15 : 12      b)10 : 15 : 12      c)20 : 10 : 12      d) 10 : 15 : 15

10. A,B and C are partners in a business. Their capitals are respectively. Rs.5000, Rs 6000 and Rs. 4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among the three in the ratio of their capitals. In the end of the year, the profit of A is Rs. 200 more than the sum of the profits of B and C. Find the total profit?a)2500      b)3000      c)2800      d)3200

11. A,B and C entered into a partnership. A invested rs. 6500 for 6 months. B invested Rs. 8400 for 5 months and C invested rs. 10000 for 3 months. A is a working partner and gets 5% of the total profit for the same.  Find the share of C in a total profit of Rs. 7400a)1800      b)2000      c)1900      d)2200

12. A began business with  Rs 4500 and was joined afterwards by B with rs. 5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1a)6      b)10      c)8      d)7

13. A,B and C rent a pasture for rs. 870. A put in 12 horses for 8 months, B 16 horses for 9 months and C 18 horses for 6 months. How much should C pay ?a)270      b)280      c)250      b)350

14. Two persons A and B take field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6 months and 40 sheep for 71/2 months. If in one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep. What part of the rent should A pay ?a)1/4       b)1/3       c)1/5     d)1/8 

15. A,B and C are partners. A receives 2/3 of the profit, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the capital of B ?a)2800      b)2300      c)2500      d)5000

16. Three persons invested rs. 9000 in the joint business. The second person invested rs 1000 more than the first and the third rs.1000 more than the second. After two years they gained rs. 5400. How much willa)2500      b)2800      c)3000     d)2400

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17. A,B and C enter into partnership. A investes some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs. 18000. A's share is a)6000      b)4000      c)5000      d)10000

18. A and B rent a pasture for 10 months, A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A ? a)250      b) 280      c) 270     d)300

19. A and B put in Rs. 300 and Rs. 400 respectively into a business. A reinvests into the business his share of the first years profit of Rs. 210 where as B does not. In what ratio should they divided the second year's profit ? a)40:50      b) 38:40      c)39:40      d)50 : 60

20. A and B invest rs. 3000 and rs. 4000 respectively in the business. If A doubles his capital after 6 months. In what ratio should A nad B divide that years profit? a)9:7      b)8:9      c)7:9      d)9:8

21. In a partnership between A,B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 in Rs.200 and C's share is rs. 130, What is B's capital ? a)11750      b)11700      c)11800      d)11800

22. A and B start a business jointly. A invests rs. 16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by Ba)12,000      b)12,800      c)13000      d)13,500

23. The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10 if P invested the money for 5 months, find for how much time did Q invests the money? a)12      b)13      c)10      d)15

24. A is a working partner and B , a sleeping partner in the business. A puts in rs. 15000 and B Rs. 25000 A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of rs. 9600, money received by A isa)4300      b)4600      c)4000       d)4200

                 25. A and B started a business by investing Rs. 15000 and Rs.12000 respectively. 'A' with draw his capital after 6 months. What is the share of 'B' in the annual profit Rs. 39000 ? a)24000      b)25000      c)30000      d)28000

Answers:1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d   13)a  14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c   24)d 

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25)a   19.1. The total monthly salary of 6 men and 2 women is rs. 61,000. If a man earns Rs. 500 less than a woman. What is a man's monthly salary ?a)7500  b)2600  c)7000  d)8200

2. Rs. 600 is divided between two days such that one's share is two-third of the other. Which of the following could be the share of one of them ? a)400  b)360  c)380  d)430

3. Rs. 900 is divided among A, B and C such that A's share is one-half of B's share and B receives one -third as much as C receive. What is the share of C ?a)500 b)550 c)600 c)700

4. Express a speed of 36 kmph in metres per seconda)8 b)5 c)20 c)10

5. Express 25 mps in kmpha)90 b)50 c)20 c)10

6. The speed of a train is 90 kmph. What is the distance covered by it in 10 minutesa)8 b)15 c)20 c)10

7. A car covers a distance of 624 km in 6(1/2) hours. Find its speed ?a)80 b)86 c)96 c)70

8. In what time a will a railway train 60 m long moving at the rate of 36km / hr pass a telegraph post on its way ?a)7 b)5 c)8 c)6

9. A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is a)54 b)50 c)20 c)10

10. The speed of car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car ?a)80 b)72 c)82 c)100

11. Walking with 4/5 of my usual speed, i miss the bus by 5 minutes. What is my usual time ?a)8 b)5 c)20 c)10

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12. If a man walks to his office at 3/4 of his usual rate, he reaches office 1/3 of an hour late then usual. What is his usual time to reach the office?a)8 b)5 c)2 c)1

13. Walking 7/6 of his usual rate, a boy reaches his school 4min early. Find his usual time to reach his school?a)28 b)25 c)20 c)10

14. Two cars cover the same distance at the speed of 60 and 64 kmphs respectively. Find the distance travelled by them if the slower car takes 1hour more than the faster car ?a)980 b)960 c)900 c)800

15. A man leaves a point p at 6 a.m and reaches the point Q at 10 a.m another man leaves the point give at 8 a.m and reaches the point p at 12 noon. At what time do they meet ?a)8 b)5 c)9 c)10

16. A thief goes away with a SANTRO car at a speed of 40 kmph. The thief has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start ?a)8 b)5 c)4 c)2

17. If I walk at 3 kmph. I miss the train by 2 min. if however, I walk at 4 kmph i reach the station 2 min. before the arrival of the train. How far do I walk to reach the station ?a)4/5 b)5/4 c)1/2 c)None

18. Two trains each 250 m in length are running on the same parallel lines in opposite direction with the speeds of 80 kmph and 70 kmph respectively. In what time will they cross each other completely ? a)18 b)12 c)14 c)None

19. Two trains of equal length, running with the speeds of 60 kmph and 40 km/hr. Take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite direction ?a)8 b)5 c)10 d)9

20. If a train, travelling at a speed of 90 km per hour, crosses a pole in 5 seconds, then the length of the train is ?a)118 b)115 c)120 c)125

21. Two trains travelling in the same direction at 40 kmph. And 22 kmph

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completely pass off another in 1 minute. If the length of the first train is 125 metres, what is the length of the seconds train ?a)175 b)170 c)120 c)110

22. How many seconds will a train 100 metres long take to cross a bridge 150 metres long if the speed of the train is 36 kmph ?a)28 b)25 c)20 c)10

23. A train 100 metres long completely crosses a 300 metres long bridge in 45 seconds. What is the speed of the train ? a)38 b)35 c)32 c)30

24. A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train ?a)108 b)105 c)200 c)108

25. Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour ?a)12 b)15 c)20 c)10

                   

Answers:

1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d   13)a  14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c   24)d   25)

20.1. One train is travelling 45 km an hour and the other is at 10 metres a second. Ratio of the speed of the two trains is ?a)5:4       b)2:3        c)1:2       d)None

2. A train leaves Delhi at 9 a.m. at a speed of 30 km/hr. Another train

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leaves at 2 p.m. At speed of 40 km/hr. On the same day and in the same direction. How far from Delhi, will the two trains meet ?a)500       b)600        c)400       d)None

3. How long does a train 165 metres long running at the rate of 54 km an hour take to cross a bridge 660 metres in length ?a)45       b)35        c)55       d)None

4. Two trains 121 metres and 165 metres in length respectively are running in opposite direction. One at the rate of 80 km  and the other at the rate of 65 km an hour. In what time will they be completely clear of each other from the moment they meet ?a)5.15      b)6.15        c)7       d)7.15

5. The distance between  Delhi and Bombay is 110 kms. A starts from Delhi with the speed of 20 kmph at 7 a.m. for Bombay and B starts from Bombay with a speed of 25km/hr at 8 a.m from Delhi. When will they meet ?a)10      b)11        c)12       d)None

6. A train of 24 carriages, each of 60 metres length, with an engine also of 60 metres length is running at a speed of 60 kmph. In what time will the train cross  a bridge 1.5 km long ?a)4       b)3        c)2       d)None

7. A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32kmph speed. Another man starts from Bombay by car , 2(1/2) hours after the first, and reaches Pune 1/2 an hour earlier. What is the ratio of speed of the motorcycle and car ?a)5:4       b)2:3        c)1:2       d)None

8. A car after covering 1/2 of a journey of 100 km develops engine trouble & later travels at 1/2 of its original speed.As a result, it arrives two late than its normal time.What is the normal speed of the car?a)4       b)3        c)1       d)2

9. A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 km long bridge, at the same speeda)4       b)3        c)2       d)None

10. Two men A and B start from a place x walking at 4(1/2) km/hr and 5(3/4) km/hr respectively. How many km apart they be at the end of 3(1/2) hours if they are walking in the same direction.a)2(1/8)       b)4(3/8)        c)3(3/8)       d)None

11. Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 km/hr and 21 km/hr respectively. When they meet. It is found that one train has traveled 60 km more than the other one. The distance between the two stations isa)440       b)333        c)444       d)None

12. How long does a train 110 m long travelling at 60 kmph take to cross a

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bridge of 170m in length ?a)13.8       b)14.8        c)15.8       d)16.8

13. A train sets off at 2 p.m at the speed of 70 km/hr. Another train starts at 3:30 p.m in the same direction at the rate of 85 km/hr. At what time the trains will meet?a)10.30       b)11.30        c)9.30       d)None           14. A train passes a man standing on the platform. If the train is 170 metres long and its speed is 72 km/hr how much time it took in doing so ?a)6(1/2)       b)8(1/2)        c)3(1/2)       d)None

15. A train 540 metres long is running with a speed of 54 km per hour. The time taken by it to cross a tunnel 180 metres long is ?a)30       b)40        c)48       d)None

16. Two trains are moving at 50 km/hr and 70 km/hr in opposite direction. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is ?a)6(1/2)       b)8(1/2)        c)3(1/2)       d)7(1/2)

17. A train 100m long crosses a platform 125 m long in 15 sec., find the speed of the train ?a)54       b)50        c)64       d)None

18. A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?a)354       b)350        c)364       d)None

19. A car travelled 108 km. distance in 12 hrs. What is it's speed in mps ?a)14       b)10        c)15       d)None

20. A bus travels from A to B at 40 kmph and returns to A at 50 kmph. If it takes 2 hrs.15 min. what is the distance between A and B ?a)54       b)60        c)64       d)50

21. A train crosses a man standing on the platform of 200 m length in 12 sec. and the platform in 36 sec. What the speed of the train(in kmph) ?a)30       b)50        c)64       d)None

22. Two trains of lengths 200 m and 100 m have speeds 40 kmph and 20 kmph respectively.  If they are travelling in opposite direction, how much time do they take to cross each other ?a)14       b)18       c)20       d)None

23. In covering a certain distance, the speeds of A and B are in the ratio 5:6. If A takes 30 min. to cover distance, what is the time taken by 'B' to cover the same distance ?a)24       b)20        c)25       d)None

24. In a 400 m race, 'A' beats 'B' by 50nm or 5 sec. What is the time taken

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by 'A'  to complete the race. ?a)44       b)40        c)35       d)None

25. A motor cyclist covers 90 km distance at 30 kmph and returns the distance at 45 kmph. What is the average speed for the whole journey ?a)36kmph b)39kmph  c)40kmph d)45kmpha)36       b)50        c)40       d)None

Answers:

1)a   2)b   3)c   4)d   5)a   6)b   7)c   8)d   9)a   10)b   11)c   12)d   13)a  14)b   15)c   16)d   17)a   18)b   19)c   20)d   21)a   22)b   23)c   24)d  25)a