Maths Test Paper

8/11/2019 Maths Test Paper

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1

AVERAGE

Concept PracticeNumber of questions: 20

1. The average age of A, B, C and D is 26. The

average age of B and D is 28. What is theaverage age of A & C?

(A) 23 (B) 24 (C) 25

(D) 26 (E) None of these

2. The average of 3 number A, B and C is 15.

If 5 is added to A, then average of A & B

becomes 16. What is the value of C?

(A) 12 (B) 15 (C) 18


3. The average age of 3 brothers Akash, Bharat

and Chandra is 34. If their sister Dimple is

included in the claculateion, then the average

age cecomes 29. What is the age of Dimple?

(A) 14 (B) 15 (C) 16


4. The average age of Priya and her daughter

Ruchi is 32 and the average age of Shiv and

his son Prem is 36. If Prem and Ruchi are 22

and 18 years respectively, what is the aver-age age of Shiv and Priya?

(A) 45 (B) 46 (C) 47


5. In a cricket T20 tournament, the 1st 4

matches had the 1stinnings score of 141,

147, 162 & 178. If the 1stinnings score in

the 5thmatch was 7 less than the average,

what was the score in the 5thmatch?

(A) 151 (B) 152 (C) 153(D) 154 (E) None of these

6. Find the median of the first 100 whole um-

bers.

(A) 50.5 (B) 50 (C) 49.5

(D) 51.5 (E) 51

7. 15 numbers arranged in a random order,. The

average of the 15 numbers is 54. The aver-

age of the first 8 numbers is 64 and the aver-

age of the last 8 numbers is 60. Find the 8th

number.

(A) 182 (B) 152 (C) 214(D) 91 (E) 180

8. Two different batches of students of a coaching

class with average marks 80 and 90 respec-

tively are comined to from a third batch. The

average marks of the classes now change to

84. Find the ratio of the number of students

in the first batch to that in the second batch.

(A) 2 : 3 (B) 4 : 3 (C) 5 : 4

(D) 3 : 2 (E) 5 : 6

9. The average age of 40 students and a teacher

is 24 years. The average age of only the

studnets is 0.5 years less than the average

age of the 40 students and the teacher. Find

the age of the teacher.

(A) 40 years (B) 42 years

(C) 44 years (D) 45 years

(D) 46 years

10. The average weight of 6 students increases

by 2 kg if a student who weighs 48 kg is re-placed by another stuydent. What is the

weight of the new student?

(A) 36 kg (B) 46 kg (C) 50 kg

(D) 12 kg (E) 60 kg

11. The average age of a group of friends is 25

years. If four new friends with an average age

of 21 years join the group, the average of the

entire group becomes 23 years. How many

friends were there in the group initially?

(A) 4 (B) 5

(C) 6 (D) 2

12. The average of temperatures on Sunday,

Monday, Tuesday, and Wednesday is 480and

the average of temperatures on Monday,

Tuesday, Wednesday and Thursday is 490.

If the ratio of temperatures on Sunday and

Thursday is 12 : 13, then find the tempera-


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ture recorded on Sunday.

(A) 450 (B) 480 (C) 440

(D) 490 (E) 500

13. The average age of 20 women is 49. The

age of the youngest woman is 32 years and

that of the oldest woman is 56. If two women

with ages 45 and 50 leave tghe group andthree women join the group, the average re-

mains unchanged. What is the average age

of the three women who joined the group

latger?

(A) 32 years (B) 35 years

(C) 38 years (D) 49 years

(E) 48 years

14. The combined average monthly salary of

employees in department A and department

B of factory XYZ is Rs. 1200 and the aver-

age monthly salary of 200 employees in de-

partment A is Rs. 900. If the average monthly

salary of employees in department B is Rs.

1400, find the number of employees in de-

partment B.

(A) 200 (B) 400 (C) 150

(D) 300 (E) 350

15. A group of 15 boys and 12 girls went for a

picnic. The average age of the boys was 25while that of the girls was 20. Find the aver-

age age of group.

(A) 22.87 (B) 22.78 (C) 23

(D) 22 (E) 23.78

16. The mode of the set of numbers 1, 3, 6, 9, 3,

6, 3, 12, 15, 3, 9, 1, 9, 6, 9, 3, 6, 3, 12, 3 is

(A) 3 (B) 1 (C) 6

(D) 9 (E) 12

17. The average price of 3 bags of tea P, Q andR is Rs, a/kg. The price of P is Rs.

(a + 2)/kg. If the price of R is greater than

the price of Q by Rs. 4, what is the price of

Q (in Rs.)?

(A) a - 1 (B) a -2 (C) a - 3

(D) a + 1 (E) a + 2

18. Given, AVG(x,y) denotes average of X and

Y. If AVG(A, B,C) + AVG(C, D, -E) =

AVG(A, B, D), then which of the following is

definitely true?

(A) A = C/2 (B) D = 2B (C) C = E/2

(D) B = 2A (E) None of these

19. The average of 13 consecutive numbers is

324. If there is another series which startswith the same number as the previous serites,

then what is the average of the first 20 con-

secutive numbers of the series?

(A) 327.8 (B) 327 (C) 328.5

(D) 326.5 (E) 327.5

20. Ana and Binu study in the same class. The

average score of hte all the students in the

class, excluding Binu who was absent, in a

Mathematics exam was 26 while the aver-

age score of all the students in the class,

exluding Ana who was absent, in an English

exam was 34. If the total score of the class in

Mathematics and English was 1920, then how

many students were there in the class?

(A) 34 (B) 33 (C) 32

(D) 40 (E) 36

21. In the first 10 overs of a cricket game, the

run rate was only 3.2. What should be the

run rate in the remaining 40 overs to reachthe target of 282 runs?

A. 6.25 B. 6.5

C. 6.75 D. 7

22. A family consists of two grandparents, two

parents and three grandchildren. The aver-

age age of the grandparents is 67 years, that

of the parents is 35 years and that of the

grandchildren is 6 years. What is the average

age of the family?

A. 28 4years7 B. 31 5years7

C. 32 1years7 D. None of these

23. A grocer has a sale of Rs. 6435, Rs. 6927,

Rs. 6855, Rs. 7230 and Rs. 6562 for 5 con-

secutive months. How much sale must he have

in the sixth month so that he gets an average

sale of Rs. 6500?

A. Rs. 4991 B. Rs. 5991

C. Rs. 6001 D. Rs. 6991


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24. The average of 20 numbers is zero. Of them,

at the most, how many may be greater than

zero?

A. 0 B. 1

C. 10 D. 19

25. The average weight of 8 persons increases

by 2.5 kg when a new person comes in placeof one of them weighing 65 kg. What might

be the weight of the new person?

A. 76kg B. 76.5kg

C. 85 kg D. Data inadequate

E. None of these

26. The captain of a cricket team of 11 members

is 26 years old and the wicket keeper is 3

years older. If the ages of these two are ex-

cluded, the average age of the remaining play-

ers is one year less than the average age ofthe whole team. What is the average age of

the team?

A. 23 years B. 24years

C. 25 years D. None of these

27. The average monthly income of P and Q is

Rs. 5050. The average monthly income of Q

and R is Rs. 6250 and the average monthly

income of P and R is Rs. 5200. The monthly

income of P is:

A. 3500 B. 4000

C. 4050 D. 5000

28. The average age of husband, wife and their

child 3 years ago was 27 years and that of

wife and the child 5 years ago was 20 years.

The present age of the husband is:A.35

yearsB.40 yearsC.50 yearsD.None of these

29. A car owner buys petrol at Rs.7.50, Rs. 8

and Rs. 8.50 per litre for three successive

years. What approximately is the average cost

per litre of petrol if he spends Rs. 4000 each

year?

A. Rs. 7.98 B. Rs. 8

C. Rs. 8.50 D. Rs. 9

30. In Aruns opinion, his weight is greater than

65 kg but less than 72 kg. His brother doest

not agree with Arun and he thinks that Arunsweight is greater than 60 kg but less than 70

kg. His mothers view is that his weight can-

not be greater than 68 kg. If all are them are

correct in their estimation, what is the aver-

age of different probable weights of Arun?

A. 67 kg. B. 68kg

C. 69 kg. D. Data inadequate

E. None of these


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SERIES AND ANALOGIES

Concept PracticeNumber of questions: 20

Instructions for questions 1 -11:Find the missing term(s).

1. 5, 8, 7, 15, 11, 29, 174, 50,__

(A) 27 (B) 55 (C) 25

(D) 78 (E) 52

2. 2, 4, 8, 14, 22, 32, 16, 8, __

(A) 2 (B) 4 (C) 6

(D) 7 (E) 8

3. 23, 33, 50, ___, 105, 143

(A) 63 (B) 72 (C) 64

(D) 74 (E) 73

4. 7, 21, 3, 42, 14, 28, ___

(A) 3 (B) 2 (C) 1

(D) 35 (E) 42

5. 2, 13, 8, 4, 26, 16, 6, ___

(A) 45 (B) 12 (C) 39

(D) 26 (E) 18

6. 10, 80, 270, 640, 1250, ___

(A) 2500 (B) 2160 (C) 3430

(D) 1330 (E) 1810

7. 0.5, 0.5, 2, ___, 288, 7200

(A) 2.5 (B) 15 (C) 121

(D) 18 (E) 111

8. 6, 19, 77, ___, 2317

(A) 1386 (B) 286 (C) 387(D) 721 (E) 386

9. 14, 30, 124, 750, ___

(A) 6008 (B) 1044

(C) 4508 (D) 5008

(E) 6004

10. 9, 11, 13, 12, 13, 15, 15, 15, 19, 18, 17,

___

(A) 18 (B) 26 (C) 20

(D) 25 (E) 21

11. 36, 150, 392, 810, 1452, ___

(A) 2700 (B) 2366 (C) 3600

(D) 2765 (E) 2500

12. 7, 8, 16, 43, ?, 232

(A) 107 (B) 105 (C) 103

(D) 109 (E) 110

13. 2, 2, 4, ?, 48, 240

(A) 15 (B) 16 (C) 12

(D) 10 (E) 11

14. 5, 9, 18, 34, ?, 95

(A) 57 (B) 59 (C) 61

(D) 55 (E) 53

15. 4, 4, 8, 48, ?, 138240

(A) 1252 (B) 1352 (C) 1052

(D) 1152 (E) 1162

16. 8, 24, ?, 2280, 54720

(A) 162 (B) 142 (C) 132(D) 157 (E) 192

17. 235, 237, 240, ?, 252, 263

(A) 242 (B) 247 (C) 245

(D) 241 (E) 244

18. 5, 10, 30, ?, 600, 3600

(A) 100 (B) 110 (C) 125

(D) 120 (E) 130

19. 2, 10, 30, ?, 130, 222

(A) 65 (B) 68 (C) 70

(D) 75 (E) 80

20. 3, 7, 13, ?, 31, 43

(A) 17 (B) 18 (C) 21

(D) 19 (E) 22

21. 7, 14, 42, 210, ?, 16170


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(A) 1400 (B) 1420 (C) 1450

(D) 1470 (E) 1490

22. 7, 26, ?, 124, 215, 342

(A) 60 (B) 61 (C) 62

(D) 63 (E) 64

23. 11, 22, ?, 528, 4224, 42240(A) 88 (B) 77 (C) 66

(D) 55 (E) 44

24. 6, 18, 108, 972, ?, 174960

(A) 11664 (B) 11554 (C) 11444

(D) 11334 (E) 11224

25. 0, 0, 3, 20, ?, 714

(A) 110 (B) 105 (C) 95

(D) 120 (E) 115

26. A, B, F, O, ?, D

(A) E (B) F (C) G

(D) J (E) H

27. J, f, ?, A, M, J, J

(A) N (B) D (C) K

(D) P (E) M28. M, T, W, ?, F, S, S

(A) H (B) L (C) N

(D) C (E) T

29. A, D, ?, P, Y, J

(A) K (B) J (C) L

(D) I (E) R

30. A, C, ?, E, W, G

(A) X (B) Y (C) Z(D) K (E) R


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PERCENTAGE

1. Haris income is 20% more than that of Ram

while Rams income is 20% less than of Dev.

Whose income is the highest amongst all?

(A) Hari (B) Ram

(C) Dev (D) Hari and Dev both equal

(E) Can not be determined.

2. In a class, 30% students passed in Mathemat-

ics, 50% students passed in English and 10%

students paseed in both. What per cent of

students failed in both of these subjects?

(A) 10 (B) 15 (C) 30

(D) 40 (E) 70

3. A trader announced 10% reduction in the unitprice of an article, As a result, the sales vol-

ume went up by 10%. What was the net ef-

fect on the sales revenue?

(A) Remains same

(B) Went down by 1%

(C) Went up by 1 %

(D) Went down by 5 %

(E) Cannot be determined

4. As income exceeds that of Bs by Rs. 600

while Bs income is 20% less than that of Cs.

If total income of all of them put together is

Rs. 3,850, what is the income of C (in Rs.)?

(A) 1,100 (B) 1,250

(C) 1,345 (D) 1,200

(E) 1,750

5. Amit spends 15% of his salary on petrol, 20%

on house-rent, 50% on food and the remain-

ing on education of his children. If education

costs him Rs.3,000, how much does he spendon house-rent (in Rs.)?

(A) 5,000 (B) 3,400

(C) 3,600 (D) 4,000

(E) 3,800

6. At an celection contested by two, a candi-

date who secures 35% of the total votes cast,

gets defeated by the other candidate by 6,300

votes. How many votes did the winner se-

cure?

(A) 12,550 (B) 12,340

(C) 13,650 (D) 12,650

(E) 11,650

7. In an examination, a student answered 15 out

of first 20 questions correctly. Of the remain-

ing, he could answer only one-third of them

correctly. All questions carry equal marks. If

the student obtains 50% marks, how many

questions does the examination have?

(A) 150 (B) 100

(C) 50 (D) 80

(E) 120

8. The population of a twon increases by 10%

per annum for two years and then decreases

by 10% per annum for the next two years. If

the populationof the town four years ago was

1,00,000, what would it be today?

(A) 1,00,000 (B) 98,001

(C) 99,099 (D) 98,000

(E) 98,010

9. A student must secure 40% marks to pass inan examination. He obtains 40 marks and fails

by 40 marks. What are the maximum marks

of the examination?

(A) 150 (B) 350

(C) 450 (D) 200

(E) 250

10. Because of the power shortage, a factory has

to work only for 80% of the time it used to.

By percent must the output per worker in-

crease, if the total output is to be the same asbefore?

(A) 20 (B) 25

(C) 50 (D) 80

(E) 60

11. A mans wages were reduced by 50%. Again,

the reduced wages were Increased by 50%.

His loss is ................................


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(A) 50% (B) 25%

(C) 20% (D) 10%

(E) None of these

12. A rectangular plot has iits length increased

by 10% and its breadth decreased by 10%.

What is the effect on its area?

(A) Remains the same(B) Decreases by 1%

(C) Increases by 1%

(D) Data is Inadequate

(E) None of these

13. After spending Rs.500 on groceries, Rs.150

on milk, Rs.450 on rent, Rs. 250 on childrens

education, and Rs.450 on miscellaneous

expendes, a man saved 10% of his monthly

salary. How much did he save (in Rs.)?

(A) 100 (B) 150

(C) 200 (D) Data Inadequate

(E) None of these

14. If the population of a village of 10,000 people

increases by 10% every year for two years,

and then decreases by 10% every year for

the next two years, what would be the popu-

lation of the village four years from now?

(A) 10,000 (B) 12,100(C) 9,900 (D) 9,801

(E) None of these

15. Prices are reduced by 25% but sales increase

by 20%. What is the effect on the receipts?

(A) Remains same

(B) Increase by 10%

(C) Decrease by 5%

(D) Decrease by 10%

(E) None of these

16. In an election contested by two, the winner

secures 56% of the votes and wins by a ma-

jority of 1,848 votes. How many votes were

totally cast?

(A) 3,300 (B) 4,200

(C) 13,860 (D) 15,400

(E) None of these

17. In an examination, 60% of the candidates

passed in Science, 65% in English, 30% failed

in both and 484 passed in both. What was

the total number of candidates?

(A) 800 (B) 840

(C) 880 (D) Data Inadequate

(E) None of these

18. A and B respectively secure 30% and 20%less marks than C. As marks are what per-

cent of Bs marks?

(A) 10 (B) 84

(C) 108 (D) 109

(E) None of these

19. When a discount of 20% is offered by

ateader, his sales increased by 80%. What

was the effect on his receipts?

(A) Decrease by 16%(B) Increase by 16%

(C) Increase by 44%

(D) Increase by 96%

(E) None of these

20. If both length and the breadth of a rectangle

are increased by 50% each, what would be

the net increase in its area?

(A) 100% (B) 200%

(C) 150% (D) 125%

(E) None of these

21. A batsman scored 110 runs which included

3 boundaries and 8 sixes. What percent of

his total score did he make by running be-

tween the wickets?

A. 45% B. 455%11

C. 546%11 D. 55%

22. Two students appeared at an examination.

One of them secured 9 marks more than theother and his marks was 56% of the sum of

their marks. The marks obtained by them are:

A. 39, 30 B. 41, 32

C. 42, 33 D. 43, 34

23. A fruit seller had some apples. He sells 40%

apples and still has 420 apples. Originally, he

had:


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A. 588 apples B. 600 apples

C. 672 apples D. 700 apples

24. What percentage of numbers from 1 to 70

have 1 or 9 in the units digit?

A. 1 B. 14

C. 20 D. 21

25. If A =x% ofyand B =y% ofx, then which

of the following is true?

A. A is smaller than B.

B. A is greater than B

C. Relationship between A and B cannot

be determined.

D. Ifxis smaller thany, then A is greater

than B.E.None of these

26. If 20% of a= b, then b% of 20 is the sameas:

A. 4% of a B. 5% of a

C. 20% of a D. None of these

27. In a certain school, 20% of students are be-

low 8 years of age. The number of students

above 8 years of age is of the number of

students of 8 years of age which is 48. What

is the total number of students in the school?

A. 72 B. 80

C. 120 D. 150

E.100

28. Two numbers A and B are such that the sum

of 5% of A and 4% of B is two-third of thesum of 6% of A and 8% of B. Find the ratio

of A : B.

A. 2 : 3 B. 1 : 1

C. 3 : 4 D. 4 : 3

29. A student multiplied a number by3instead

of5.53What is the percentage error in the

calculation?

A. 34% B. 44%

C. 54% D. 64%

30. In an election between two candidates, onegot 55% of the total valid votes, 20% of the

votes were invalid. If the total number of

votes was 7500, the number of valid votes

that the other candidate got, was:

A. 2700 B. 2900

C. 3000 D. 3100


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PROBLEMS ON TRAINS

1. A train running at the speed of 60 km/hr

crosses a pole in 9 seconds. What is the length

of the train?

A. 120 metres B. 180 metresC. 324 metres D. 150 metres

2. A train 125 m long passes a man, running at

5 km/hr in the same direction in which the

train is going, in 10 seconds. The speed of

the train is:

A. 45 km/hr B. 50 km/hr

C. 54 km/hr D. 55 km/hr

3. The length of the bridge, which a train 130metres long and travelling at 45 km/hr can

cross in 30 seconds, is:

A. 200 m B. 225 m

C. 245 m D. 250 m

4. Two trains running in opposite directions cross

a man standing on the platform in 27 sec-

onds and 17 seconds respectively and they

cross each other in 23 seconds. The ratio of

their speeds is:A. 1 : 3 B. 3 : 2

C. 3 : 4 D. None of these

5. A train passes a station platform in 36 sec-

onds and a man standing on the platform in

20 seconds. If the speed of the train is 54

km/hr, what is the length of the platform?

A. 120 m B. 240 m

C. 300 m D. None of these

6. A train 240 m long passes a pole in 24 sec-

onds. How long will it take to pass a plat-

form 650 m long?

A. 65 sec B. 89 sec

C. 100 sec D. 150 sec

7. Two trains of equal length are running on par-

allel lines in the same direction at 46 km/hr

and 36 km/hr. The faster train passes the

slower train in 36 seconds. The length of each

train is:

A. 50 m B. 72 mC. 80 m D. 82 m

8. A train 360 m long is running at a speed of

45 km/hr. In what time will it pass a bridge

140 m long?

A. 40 sec B. 42 sec

C. 45 sec D. 48 sec

9. Two trains are moving in opposite directions

@ 60 km/hr and 90 km/hr. Their lengths are1.10 km and 0.9 km respectively. The time

taken by the slower train to cross the faster

train in seconds is:

A. 36 B. 45

C. 48 D. 49

10. A jogger running at 9 kmph alongside a rail-

way track in 240 metres ahead of the engine

of a 120 metres long train running at 45 kmph

in the same direction. In how much time will

the train pass the jogger?

A. 3.6 sec B. 18 sec

C. 36 sec D. 72 sec

11. A 270 metres long train running at the speed

of 120 kmph crosses another train running in

opposite direction at the speed of 80 kmph

in 9 seconds. What is the length of the other

train?

A. 230 m B. 240 mC. 260 m D. 320 m

E. None of these

12. A goods train runs at the speed of 72 kmph

and crosses a 250 m long platform in 26 sec-

onds. What is the length of the goods train?

A. 230 m B. 240 m

C. 260 m D. 270 m


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13. Two trains, each 100 m long, moving in op-

posite directions, cross each other in 8 sec-

onds. If one is moving twice as fast the other,

then the speed of the faster train is:



14. Two trains 140 m and 160 m long run at the

speed of 60 km/hr and 40 km/hr respectively

in opposite directions on parallel tracks. The

time (in seconds) which they take to cross

each other, is:

A. 9 B. 9.6

C. 10 D. 10.8

15. A train 110 metres long is running with a speed

of 60 kmph. In what time will it pass a man

who is running at 6 kmph in the direction op-

posite to that in which the train is going?

A. 5 sec B. 6 sec

C. 7 sec D. 10 sec

16. A train travelling at a speed of 75 mph enters

a tunnel 3 miles long. The train is mile long.

How long does it take for the train to pass

through the tunnel from the moment the front

enters to the moment the rear emerges?

A. 2.5 min B. 3 min

C. 3.2 min D. 3.5 min

17. A train 800 metres long is running at a speed

of 78 km/hr. If it crosses a tunnel in 1 minute,

then the length of the tunnel (in meters) is:

A. 130 B. 360

C. 500 D. 540

18. A 300 metre long train crosses a platform in39 seconds while it crosses a signal pole in

18 seconds. What is the length of the plat-

form?

A. 320 m B. 350 m

C. 650 m D. Data inadequate

19. A train speeds past a pole in 15 seconds and

a platform 100 m long in 25 seconds. Its

length is:

A. 50 m B. 150 m

C. 200 m D. Data inadequate

20. A train moves past a telegraph post and a

bridge 264 m long in 8 seconds and 20 sec-

onds respectively. What is the speed of the

train?

A. 69.5 km/hr B. 70 km/hr

C. 79 km/hr D. 79.2 km/hr

21. How many seconds will a 500 metre long

train take to cross a man walking with a speed

of 3 km/hr in the direction of the moving train

if the speed of the train is 63 km/hr?

A. 25 B. 30

C. 40 D. 45

22. Two goods train each 500 m long, are run-

ning in opposite directions on parallel tracks.

Their speeds are 45 km/hr and 30 km/hr re-

spectively. Find the time taken by the slower

train to pass the driver of the faster one.

A. 12 sec B. 24 sec

C. 48 sec D. 60 sec

23. Two trains are running in opposite directions

with the same speed. If the length of each

train is 120 metres and they cross each other

in 12 seconds, then the speed of each train

(in km/hr) is:

A. 10 B. 18

C. 36 D. 72

24. Two trains of equal lengths take 10 seconds

and 15 seconds respectively to cross a tele-

graph post. If the length of each train be 120

metres, in what time (in seconds) will they

cross each other travelling in opposite direc-

tion?

A. 10 B. 12

C. 15 D. 20

25. A train 108 m long moving at a speed of 50

km/hr crosses a train 112 m long coming from

opposite direction in 6 seconds. The speed


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of the second train is:



26. Two trains are running at 40 km/hr and 20

km/hr respectively in the same direction. Fast

train completely passes a man sitting in the

slower train in 5 seconds. What is the length

of the fast train?

A. 23 m B.232m9

C. 277m9 D. 29 m

27. A train overtakes two persons who are walk-

ing in the same direction in which the train is

going, at the rate of 2 kmph and 4 kmph and

passes them completely in 9 and 10 seconds

respectively. The length of the train is:

A. 45 m B. 50 m

C. 54 m D. 72 m

28. A train overtakes two persons walking along

a railway track. The first one walks at 4.5

km/hr. The other one walks at 5.4 km/hr. The

train needs 8.4 and 8.5 seconds respectively

to overtake them. What is the speed of the

train if both the persons are walking in the

same direction as the train?



29. A train travelling at 48 kmph completely

crosses another train having half its length and

travelling in opposite direction at 42 kmph,

in 12 seconds. It also passes a railway plat-

form in 45 seconds. The length of the plat-

form is

A. 400 m B. 450 m

C. 560 m D. 600 m

30. Two stations A and B are 110 km apart on a

straight line. One train starts from A at 7 a.m.

and travels towards B at 20 kmph. Another

train starts from B at 8 a.m. and travels to-

wards A at a speed of 25 kmph. At what

time will they meet?

A. 9 a.m. B. 10 a.m.

C. 10.30 a.m. D. 11 a.m.


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PROFIT & LOSS

1. Alfred buys an old scooter for Rs. 4700 and

spends Rs. 800 on its repairs. If he sells the

scooter for Rs. 5800, his gain percent is:

A. 44%7 B. 55%11C. 10% D. 12%

2. The cost price of 20 articles is the same as

the selling price ofxarticles. If the profit is

25%, then the value ofxis:

A. 15 B. 16

C. 18 D. 25

3. If selling price is doubled, the profit triples.

Find the profit percent.

A. 6623 B. 100

C. 10513 D. 120

4. In a certain store, the profit is 320% of the

cost. If the cost increases by 25% but the

selling price remains constant, approximately

what percentage of the selling price is the

profit?

A. 30% B. 70%

C. 100% D. 250%

5. A vendor bought toffees at 6 for a rupee. How

many for a rupee must he sell to gain 20%?

A. 3 B. 4

C. 5 D. 6

6. The percentage profit earned by selling an

article for Rs. 1920 is equal to the percent-

age loss incurred by selling the same article

for Rs. 1280. At what price should the ar-ticle be sold to make 25% profit?

A. Rs. 2000 B. Rs. 2200

C. Rs. 2400 D. Data inadequate

7. A shopkeeper expects a gain of 22.5% on

his cost price. If in a week, his sale was of

Rs. 392, what was his profit?

A. Rs. 18.20 B. Rs. 70

C. Rs. 72 D. Rs. 88.25

8. A man buys a cycle for Rs. 1400 and sells it

at a loss of 15%. What is the selling price of

the cycle?

A. Rs. 1090 B. Rs. 1160

C. Rs. 1190 D. Rs. 1202

9. Sam purchased 20 dozens of toys at the rate

of Rs. 375 per dozen. He sold each one of

them at the rate of Rs. 33. What was his per-

centage profit?

A. 3.5 B. 4.5

C. 5.6 D. 6.5

10. Some articles were bought at 6 articles for

Rs. 5 and sold at 5 articles for Rs. 6. Gain

percent is:

A. 30% B. 331%3

C. 35% D. 44%

11. On selling 17 balls at Rs. 720, there is a loss

equal to the cost price of 5 balls. The cost

price of a ball is:

A. Rs. 45 B. Rs. 50

C. Rs. 55 D. Rs. 60

12. When a plot is sold for Rs. 18,700, the owner

loses 15%. At what price must that plot be

sold in order to gain 15%?

A. Rs. 21,000 B. Rs. 22,500

C. Rs. 25,300 D. Rs. 25,800

13. 100 oranges are bought at the rate of Rs.

350 and sold at the rate of Rs. 48 per dozen.The percentage of profit or loss is:

A. 142% gain7 B. 15% gain

C. 142% loss7 D. 15 % loss

14. A shopkeeper sells one transistor for Rs. 840

at a gain of 20% and another for Rs. 960 at a

loss of 4%. His total gain or loss percent is:


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A. 515% loss17 B. 515% gain17

C. 62% gain3 D. None of these

15. A trader mixes 26 kg of rice at Rs. 20 per kg

with 30 kg of rice of other variety at Rs. 36

per kg and sells the mixture at Rs. 30 per kg.

His profit percent is:

A. No profit, no loss B. 5%

C. 8% D. 10%

E. None of these

16. When an articl3e is sold at a profit of 5%, it

brings in Rs.30 more than if it were sold at a

10 15%. What is the cost price of the ar-

ticle?

A. Rs. 100 B. Rs. 150

C. Rs. 200 D. Rs. 250

E. None of these

17. A dishonest trader professes to sell his goods

at the cost price but he uses a weight of 4,000

grams-for 5 kg. What is his gain?

A. 50% B. 40%

C. 20% D. 25%

E. None of these

18. Two shopkeepers announced the smae price

of Rs. 20,000 for an article. The first one of-

fer successive discounts of 20% and 5%,

while the second on offers two successive

discounts of and 10%. What is the difference

between the effective values of discounts of-

fered by the two shopkeepers?

A. Nil B. Rs.50

C. Rs.100 D. Rs.500

E. None of these

19. The manufacturer of an article makes a profit

of 20% on the sale of an article while the

wholesaler and the retailer make 10% and

5% respectively on the sale of the same.

What is the manufacturing cost of the article

if the retailer sells it for Rs.1,386?

A. Rs.750 B. Rs.800

C. Rs.900 D. Rs.950

E. None of these

20. The marked price of an article is Rs.90. What

is the cost price if, even after a discount 20%,

a profit of 20% is made?

A. Rs.50 B. Rs.60

C. Rs.70 D. Rs.65

E. None of these

21. A 12+% discount enables a person to save

Rs.6 on an article. How much did he pay for

it?

A. Rs.42 B. Rs.48

C. Rs.54 D. Rs.57.50

E. None of these

22. An article costs % of its cost plus % of a

rupee. What is its cost?

A. Rs.1.50 B. Rs.3

C. Rs.4 D. Data inadequate

E. None of these

23. A sells an article to B for Rs. 11,000 at a gain

of 10% and B sells it back to a at a loss of

10%. Which of the following statements is

true, regarding the two transactions com-

bined?

A. A gains 1% B. A gains 8%

C. A gains 10% D. A gains 11%

E. None of these

24. The cost of a TV set, inclusive of 2.5% sales

tax is Rs.4,920. What is the amount of tax?

A. Rs.150 B. Rs.120

C. Rs.100 D. Rs.aO

E. None of these

25. A dealer sells two radio sets for Rs.960 each,

gaining 20% on one and losing 20% on the

other. What is his overall gain/loss in this trans-

action?


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A. No loss no gain

B. Loss of 4%

C. Gain of 4%

D. Loss of 1%

E. None of these

26. The price of an ordinary TV set and colour

TV set are in the ratio of 2 : 5. If a colour TV

set costs Rs.6,690 more than anordinary TV

set, how much does a colur TV set cost?

A. Rs.10,050 B. Rs.11,000

C. Rs.11,150 D. Rs.12,500

E. None of these

27. By what % must the cost of goods be marked

up so that even after a discount of 20%, the

same amount is realised as before the dis-count?

A. 25 B. 20

C. 15 D. Data inadequatge

E. None of these

28. If I sell an article for Rs.687.50, I derive 25%

profit. If I desire 50% profit, at what price

must I sell it?

A. Rs.725 B. Rs.750

C. Rs.825 D. Data inadequate

E. None of these

29. By selling an article for Rs.370, a trader in-

curs a loss equal to twice the profit he would

have earned if he had sold the same article

for Rs.490. What is the cost price of the ar-

ticle?

A. Rs.390 B. Rs.480

C. Rs.420 D. Rs.450

E. None of these

30. A man saved Rs.551 when two successive

discounts of 10% and 5% were given on a

TV set. What was the marked price of the

TV set?

A. Rs.3,674 B. Rs.3,750


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RATIO AND PROPORTION

1. A and B together have Rs. 1210. If of

As amount is equal to of Bs amount, how

much amount does B have?

A. Rs. 460 B. Rs. 484

C. Rs. 550 D. Rs. 664

2. Two numbers are respectively 20% and 50%

more than a third number. The ratio of the

two numbers is:

A. 2 : 5 B. 3 : 5

C. 4 : 5 D. 6 : 7

3. A sum of money is to be distributed among

A, B, C, D in the proportion of 5 : 2 : 4 : 3. If

C gets Rs. 1000 more than D, what is Bs

share?

A. Rs. 500 B. Rs. 1500

C. Rs. 2000 D. None of these

4. Seats for Mathematics, Physics and Biology

in a school are in the ratio 5 : 7 : 8. There is a

proposal to increase these seats by 40%,

50% and 75% respectively. What will be theratio of increased seats?

A. 2 : 3 : 4 B. 6 : 7 : 8

C. 6 : 8 : 9 D. None of these

5. In a mixture 60 litres, the ratio of milk and

water 2 : 1. If the this ratio is to be 1 : 2, then

the quanity of water to be further added is:

A. 20 litres B. 30 litres

C. 40 litres D. 60 litres

6. The ratio of the number of boys and girls in a

college is 7 : 8. If the percentage increase in

the number of boys and girls be 20% and

10% respectively, what will be the new ra-

tio?

A. 8 : 9 B. 17 : 18

C. 21 : 22 D. Cannot be detemined

7. Salaries of Ravi and Sumit are in the ratio 2 :

3. If the salary of each is increased by Rs.

4000, the new ratio becomes 40 : 57. What

is Sumits salary?

A. Rs. 17,000 B. Rs. 20,000

C. Rs. 25,500 D. Rs. 38,000

8. If 0.75 :x:: 5 : 8, thenxis equal to:

A. 1.12 B. 1.2

C. 1.25 D. 1.30

9. The sum of three numbers is 98. If the ratio

of the first to second is 2 :3 and that of the

second to the third is 5 : 8, then the secondnumber is:

A. 20 B. 30

C. 48 D. 58

10. If Rs. 782 be divided into three parts, pro-

portional to : : , then the first part is:

A. Rs. 182 B. Rs. 190

C. Rs. 196 D. Rs. 204

11. The salaries A, B, C are in the ratio 2 : 3 : 5.

If the increments of 15%, 10% and 20% are

allowed respectively in their salaries, then

what will be new ratio of their salaries?

A. 3 : 3 : 10 B. 10 : 11 : 20

C. 23 : 33 : 60 D. Cannot be detemined

12. If 40% of a number is equal to two-third of

another number, what is the ratio of first num-

ber to the second number?

A. 2 : 5 B. 3 : 7

C. 5 : 3 D. 7 : 3

13. The fourth proportional to 5, 8, 15 is:

A. 18 B. 24

C. 19 D. 20

14. Two number are in the ratio 3 : 5. If 9 is sub-


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tracted from each, the new numbers are in

the ratio 12 : 23. The smaller number is:

A. 27 B. 33

C. 49 D. 55

15. In a bag, there are coins of 25 p, 10 p and 5

p in the ratio of 1 : 2 : 3. If there is Rs. 30 in

all, how many 5 p coins are there?

A. 50 B. 100

C. 150 D. 20

16. Rs.900 is to be distrubuted amongst A, Band

C in the proportion 2 : 3 : 4. How much would

C get?

A. Rs.400 B. Rs.450

C. Rs.500 D. Rs.540

E. None of these

17. A purse contains, in all, 378 coins consisting

of one rupee, 50 paise, and 25 paise. The

total values of these coins are in the ratio of

13 : 11 : 7. How many coins of one rupee

does the purse contain?

A. 126 B. 78

C. 168 D. 136

E. Can not be determined

18. Ramesh has two-third of the money as that

with Umesh. Umesh has three-fifth of the

money as that with Mahesh. If Maheshhas

Rs. 1,200, how much does Ramesh have?

A. Rs.720 B. Rs.320

C. Rs.200 D. Rs.480

E. None of these

19. A sun of Rs.45 is made up of 100 coins of50 paise and 25 paise denominations. What

is the ratio of the number of 50 paise coins to

those of 25 paise coins?

A. 1 : 3 B. 1 : 4

C. 4 : 1 D. 1 : 2

20. A gave 1/5th of the money he had t B and D

in turn gave 1/3rd of the money he received

from A to C. If C received Rs.20, how much

money did A have with him initially?

A. Rs.300 B. Rs320

C. Rs.200 D. Rs.480

E. None of these

21. If the total attendance at a party is 252, whichof the following cannot be the ratio of ladies

and gents at the party?

A. 1 : 5 B. 1 : 6

C. 1 : 7 D. 1 : 8

E. None of these

22. Last year, the prices of tea and coffee were

in the ratio of 2 : 3. Between last year and

this year, the price of tea has risen in the ratio

of 5 : 6 and that of coffee, in the ratio of 7 : 8.

If this year, a kg of coffee and a kg of tea

together cost Rs.51, how much does a kg of

coffee cost?

A. Rs.17.50 B. Rs.21

C. Rs.26.25 D. Rs.30

E. None of these

23. The ratio of number of runs scored by a

cricketer in domestic and international

matches last year was 2 : 1. This year, his

performance in domestic matches improved

in the ratio of 1 : 2 and international ones, in

the ratio of 2 : 3. If the total score this year in

domestic and international matches was 2,200

runs, how many runs did he score in interna-

tional matches last year?

A. 400 B. 600

C. 800 D. 1600

E. None of these

24. The ratio of the number of boys and girls in a

school is 2 : 1. Of the girls, % are day schol-

ars and 2/3rdof the boys are day scholars

and 3/4thof them travel by bus, what part of

the students community travel to school by

bus?


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A. 2/3 B. 1/2

C. 1/3 D. 2/5

E. None of these

25. Three numbers are in the ratio 1 : 3 : 5. If the

sum of the largest and the smallest equals the

sum of the middle and 60, what is the aver-

age of these numbers?

A. 120 B. 100

C. 80 D. 60

E. None of these

26. Rs.2,400 is to be distributed among A. Band

C in the proportion 3 : 4 : 5 respectively. If

the share of A is increased by Rs. 100 at

the cost of C, what would be the new pro-

portion of distribution?

A. 3 : 4 : 9 B. 1 : 1 : 3

C. 1 : 1 : 4 D. 1 : 1 : 1

E. None of these

27. If x : y is 9 : 7, then (x-y) is..................

A. 8 : 1 B. 1 : 8

C. 4 :1 D. 1 : 4

E. None of these

28. Three numbers bear a ratio of 1 : 2 : 3 and

their sum is 102. What is the third number?

A. 17 B. 34

C. 48 D. 51

E. None of these

29. Rs. 675 is to be distributed among A, B andC in such a way that Rs.10 more than one-

third of As share and Rs.20 more than two-

third of Bs share and Rs.5 more than one-

third of Cs share are equal. What is As share

of money (in Rs.)?

A. 120 B. 270

C. 285 D. 225

E. None of these

30. If A : B = 2 : 3, B : C = 3 : 5, C : D = 4 : 5,

then A : B : C : D is?

A. 8 : 12 : 20 : 25

B. 4 : 3 : 5 : 25

C. 8 : 12 : 4 : 5

D. 2 : 4 : 6 : 25

E. None of these


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SIMPLE INTEREST TEST

1. On what principal, invested at the simple in-

terest rate of 10% per annum for 5 year, will

the interest be equal to Rs.500?

A. Rs. 4,000 B. Rs. 4,500C. Rs. 5,000 D. Rs. 1,000

E. None of these

2. A certain sum amounts to Rs.600 in 3 years

and to Rs.750 in 5 years at simple interest.

What is the sum?

A. Rs.400 B. Rs.375

C. Rs.500 D. Rs.540

E. None of these

3. Rs.1,200 becomes Rs.1,380 in a span of 4

years at simple interest. What would

Rs.10,000 amount to in 6 years at twice the

rate of simple interest as applicable above?

A. Rs.13,750 B. Rs.12,500

C. Rs.14,500 D. Rs.15,000

E. None of these

4. A and B invested Rs.2,000 and Rs.3,000

at the simple interest rate of 5% and 4% perannum respectively in two banks. What is the

difference in the simple interest earned by them

after 5 years?

A. Rs.80 B. Rs.100

C. Rs.200 D. Rs.150

E. None of these

5. The simple interest on a sum of money will

be Rs.1,200 after 12 years. After 4 years,

the principal has been increased by 200%.What will be the inteest receivable at the end

of 12 years?

A. Rs.2,400 B. Rs.2,800

C. Rs.2,500 D. Rs.2,540

E. None of these

6. The simple interest on a sum of money in-

vested for 6 years is Rs.1,500. If ater two

years, the interest rate is doubled, what will

the interest be?

A. Rs.2,400 B. Rs.2,500

C. Rs.2,000 D. Rs.2,540E. None of these

7. The simple interest on a certain sum of money

at the rate of 10% per anuum for the period

of 3 years and 5 years differs by Rs.1,000.

What is the sum?

A. Rs. 4.000 B. Rs. 4,500

C. Rs. 5,000 D. Rs. 5,400

E. None of these

8. Suresh has Rs.5,000/- with him. A part of

this he has deposited in one bank which pays

6% S.I. per annum and the remaining in an-

other bank which pays 8%, S.I. per annum.

If after one year, the interest recived from both

the banks togettler is Rs.360/-, find the

amount deposited in the first bank.

A. Rs.3,000 B. Rs.1,500

C. Rs.2,000 D. Rs.4,000

E. None of these

9. If a sum doubles itself in 10 years at simple

interest, what must be the rate of interest

(p.a.)?

A. 10% B. 20%

C. 15% D. 12.5%

E. None of these

10. A certain amount is deposited in a bank for 5

years at simple interest at the rate of 8% p.a.An equal amount is deposited at the rate of

12% p.a. simple interestfor a period of 3

years. If the difference in the interests earned

by the two deposits is equal to Rs.100, what

would be the sum of the amounts deposited

in both the banks?

A. Rs.4,000 B. Rs.5,000

C. Rs.4,500 D. Rs.5,200


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E. None of these

11. If Rs.5,800 are divided in two parts, such

that the simple interest obtained on the first

part at the rate of 7% p.a. for a period of

two years is equal to the simple interest earned

on the second part at the rate of 5% for the

period of three years, what is the first part?

A. Rs.3,000 B. Rs.3,200

C. Rs.1,400 D. Rs.2,800

E. None of these

12. At simple interest, a sum amounts to

Rs.3,360 in 6 years, and to Rs.3,400 in 7

years. What does it amount to in 9 years?

A. Rs.3,450 B. Rs.3,480

C. Rs.3,500 D. Rs.3,600

E. None of these13. In six years, a certain sum amounts to

Rs.1,105 at 5% at simple interest. What is

the sum?

A. Rs.850 B. Rs.945

C. Rs.1,000 D. Rs.900

E. None of these

14. An article is available for Rs.4,000 if paid in

cash. If the cash payment is made only for

Rs.1,000 and the balance amount is paid af-ter three months, the shopkeeprer charges

Rs.90 more. What is the rate of interest

charged by the shopkeeper?

A. 14% p.a. B. 12% p.a.

C. 18% p.a. D. 10% p.a.

E. None of these

15. At simple interest, what sum amounts to

Rs.1,120 in 4 years and to Rs.1,200 in 5

years?

A. Rs.700 B. Rs.800

C. Rs.850 D. Rs.750

E. None of these

16. A moneylender lent Rs.400 for two years and

Rs.200 for 3 years at the same rate of simple

interest and received totally Rs.70 as inter-

est. What was the rate interest?

A. 4% p.a. B. 2% p.a.

C. 5% p.a. D. 3% p.a.

E. None of these

17. A man owes a friend Rs.800 now but, being

unable to discharge the debt fully, agrees to

pay Rs.425 now and Rs.425 after one year.

At what rate % is the simple interest beingcalculated?

A. 6 % p.a. B. 12 % p.a.

C. 10% p.a. D. 40/3% p.a.

E. None of these

18. On what sum is the difference between the

simple interest for 6 years at 6% p.a. and for

4 years at 4%, Rs.500?

A. Rs.2,450 B. Rs.2,500

C. Rs.3,000 D. Rs.2,600

E. None of these

19. Rs.1,000 is borrowed at a certain rate of in-

terest. After four months, Rs.500 is again

borrowed but this time at a rate of interest

which is thrice the original rate. At the end of

the year, the total interest on both amounts is

Rs.100. What was the original rate of inter-

est per annum?

A. 4% p.a. B. 5% p.a.

C. 2% p.a. D. 3% p.a.E. None of these

20. When the rate of interest on a loan is increased

from 4% to 5% p.a., the interest Rs.1.11

more per month than before. What is the

amount of the loan?

A. Rs.1,332 B. Rs.1,232

C. Rs.1,150 D. Rs.1,350

E. None of these

21. A sum of money at simple interest amountsto Rs. 815 in 3 years and to Rs. 854 in 4

years. The sum is:

A. Rs.650 B. Rs.690

C. Rs.698 D. Rs.700

22. Mr. Thomas invested an amount of Rs.

13,900 divided in two different schemes A

and B at the simple interest rate of 14% p.a.

and 11% p.a. respectively. If the total amount


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of simple interest earned in 2 years be Rs.

3508, what was the amount invested in

Scheme B?

A. Rs.6400 B. Rs.6500

C. Rs.7200 D. Rs.7500

E. None of these

23. A sum fetched a total simple interest of Rs.4016.25 at the rate of 9 p.c.p.a. in 5 years.

What is the sum?

A. Rs.4462.50 B. Rs.8032.50

C. Rs.8900 D. Rs.8925

E. None of these

24. How much time will it take for an amount of

Rs. 450 to yield Rs. 81 as interest at 4.5%

per annum of simple interest?

A. 3.5 years B. 4 yearsC. 4.5 years D. 5 years

25. Reena took a loan of Rs. 1200 with simple

interest for as many years as the rate of inter-

est. If she paid Rs. 432 as interest at the end

of the loan period, what was the rate of in-

terest?

A. 3.6 B. 6

C. 18 D. Cannot be determined

E. None of these

26. A sum of Rs. 12,500 amounts to Rs. 15,500

in 4 years at the rate of simple interest. What

is the rate of interest?

A. 3% B. 4%

C. 5% D. 6%

E. None of these

27. An automobile financier claims to be lending

money at simple interest, but he includes the

interest every six months for calculating the

principal. If he is charging an interest of 10%,

the effective rate of interest becomes:

A. 10% B. 10.25%

C. 10.5% D. None of these28. A lent Rs. 5000 to B for 2 years and Rs.

3000 to C for 4 years on simple interest at

the same rate of interest and received Rs.

2200 in all from both of them as interest. The

rate of interest per annum is:

A. 5% B. 7%

C. D. 10%

29. A sum of Rs. 725 is lent in the beginning of a

year at a certain rate of interest. After 8months, a sum of Rs. 362.50 more is lent but

at the rate twice the former. At the end of the

year, Rs. 33.50 is earned as interest from both

the loans. What was the original rate of inter-

est?

A. 3.6% B. 4.5%

C. 5% D. 6%

E. None of these

30. A man took loan from a bank at the rate of

12% p.a. simple interest. After 3 years he

had to pay Rs. 5400 interest only for the pe-

riod. The principal amount borrowed by him

was:

A. Rs.2000 B. Rs.10,000

C. Rs.15,000 D. Rs.20,000

8 %71


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COMPOUND INTEREST

1. A bank offers 5% compound interest calcu-

lated on half-yearly basis. A customer deposits

Rs. 1600 each on 1stJanuary and 1stJuly of

a year. At the end of the year, the amount he

would have gained by way of interest is:

A. Rs.120 B.Rs.121

C. Rs.122 D.Rs.123

2. The difference between simple and compound

interests compounded annually on a certain

sum of money for 2 years at 4% per annum

is Re. 1. The sum (in Rs.) is:

A. 625 B. 630

C. 640 D. 650

3. There is 60% increase in an amount in 6 years

at simple interest. What will be the compound

interest of Rs. 12,000 after 3 years at the

same rate?

A. Rs.2160 B. Rs.3120

C. Rs.3972 D. Rs.6240

E. None of these

4. What is the difference between the com-

pound interests on Rs. 5000 for 1 years at

4% per annum compounded yearly and half-

yearly?

A. Rs.2.04 B. Rs.3.06

C. Rs.4.80 D. Rs.8.30

5. The compound interest on Rs. 30,000 at 7%

per annum is Rs. 4347. The period (in years)

is:A.2B.212C.3D.46. What will be the com-

pound interest on a sum of Rs. 25,000 after3 years at the rate of 12 p.c.p.a.?

A. Rs.9000.30 B. Rs.9720

C. Rs.10123.20 D. Rs.10483.20

E. None of these

7. At what rate of compound interest per an-

num will a sum of Rs. 1200 become Rs.

1348.32 in 2 years?

A. 6% B. 6.5%

C. 7% D. 7.5%

8. The least number of complete years in which

a sum of money put out at 20% compoundinterest will be more than doubled is:

A. 3 B. 4

C. 5 D. 6

9. Albert invested an amount of Rs. 8000 in a

fixed deposit scheme for 2 years at compound

interest rate 5 p.c.p.a. How much amount will

Albert get on maturity of the fixed deposit?

A. Rs.8600 B. Rs.8620

C. Rs.8820 D. None of these

10. The effective annual rate of interest corre-

sponding to a nominal rate of 6% per annum

payable half-yearly is:

A. 6.06% B. 6.07%

C. 6.08% D. 6.09%

11. Simple interest on a certain sum of money

for 3 years at 8% per annum is half the com-

pound interest on Rs. 4000 for 2 years at10% per annum. The sum placed on simple

interest is:

A. Rs.1550 B. Rs.1650

C. Rs.1750 D. Rs.2000

12. If the simple interest on a sum of money for 2

years at 5% per annum is Rs. 50, what is the

compound interest on the same at the same

rate and for the same time?

A. Rs.51.25 B. Rs.52

C. Rs.54.25 D. Rs.60

13. The difference between simple interest and

compound on Rs. 1200 for one year at 10%

per annum reckoned half-yearly is:

A. Rs.2.50 B. Rs.3

C. Rs.3.75 D. Rs.4

E. None of these


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14. The difference between compound interest

and simple interest on an amount of Rs.

15,000 for 2 years is Rs. 96. What is the

rate of interest per annum?

A. 8 B. 10


E. None of these

15. The compound interest on a certain sum for

2 years at 10% per annum is Rs. 525. The

simple interest on the same sum for double

the time at half the rate percent per annum is:

A. Rs.400 B. Rs.500

C. Rs.600 D. Rs.800

16. On what principal will the difference between

simple interest and compound interest for twoyears at 10% p.a.

A. Rs.500 B. Rs.1,000

C. Rs.2,500 D. Rs.5,000

E. None of these

17. The difference between the compound inter-

est and the simple interest on a certain sum

for the period of two years at the rate of 10%

p.a. is Rs.20. What is the sum?

A. Rs.1,000 B. Rs.1,200

C. Rs.1,600 D. Rs.2,000

E. None of these

18. If the compound interest at the rate of 8%

per annum on a certain amount of deposit is

Rs.64 more for the second year than for the

first year, what is the amount deposited?

A. Rs.10,000 B. Rs.10,500

C. Rs.11,000 D. Rs.11,800

E. None of these

19. What is the difference between the com-

pound interest and the simple interest on

Rs.5,000, lent out for two years, at 5% per

annum?

A. Rs.50 B. Rs.37.50

C. Rs.25 D. Rs.12.50

E. None of these

20. The difference between the compound inter-

est payable half-yearly and the simple inter-

est on a certain sum lent out at 10% p.a. for

one year is Rs.25. What is the sum?

A. Rs.8,000 B. Rs.8,500

C. Rs.9,000 D. Rs.10,000

E. None of these

21. A sum of money at compound interest

amounts to thrice itself in three years. In how

many years will it be 9 times itself?

A. 6 B. 9

C. 12 D. 18

E. None of these

22. The compound interest on a certain sum of

money for two years is Rs.41 and the simple

interest s Rs.40. What is the rate per annum?

A. 4% B. 5%

C. 6% D. 8%

E. None of these

23. What is the compound interest on Rs.5,000

for four years, if the rate of interest is 10%

p.a. for the first two years and 20% p.a. for

the next two years?

A. Rs.3,312 B. Rs.3,712

C. Rs.3,750 D. Rs.3,350

E. None of these


for one year at 5% p.a. payable half-yearly?

A. Rs.133 B. Rs.200

C. Rs.202.50 D. Rs.101.50

E. None of these


at 10% p.a. for two years and three months?

A. Rs.921 B. Rs.961

C. Rs.990 D. Rs.900


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E. None of these

26. Rs.7,500 is invested at 5% compound inter-

est for two years. What is the interest for the

second year (in Rs.)?

A. 306.25 B. 375.75

C. 393.75 D. 326.25E. None of these

27. If in three successive years, the rate of inter-

est is 5,10 and 20% p.a., what will Rs.1,000

amount to in three years at compound inter-

est?

A. Rs.1,4000 B. Rs.1,158

C. Rs.1,386 D. Rs.1,540

E. None of these

28. If the compound interest on a certain sum of

money at 5% for three years is Rs.1,261,

what is the simple interest?

A. Rs.1,200 B. Rs.1,250

C. Rs.1,3000 D. Rs.1,240

E. None of these

29. If the difference between C.1. and S.1. on a

certain sum of money @ 5% p.a., after 3years is Rs.1,220/-, find the principal.

A. Rs.1,80,000 B. Rs.1,24,000

C. Rs.1,18,000 D. Rs.1,60,000

E. None of these

30. If the difference between C.1. and S.1. on a

certain sum of money @ 10% p.a., after 3

years is Rs.6,200/-, find the principal.

A. Rs.1,80,000 B. Rs.2,00,000C. Rs.1,18,000 D. Rs.1,60,000

E. None of these


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TIME AND DISTANCE

1. A person crosses a 600 m long street in 5

minutes. What is his speed in km per hour?

A. 3.6 B. 7.2

C. 8.4 D. 10

2. An aeroplane covers a certain distance at a

speed of 240 kmph in 5 hours. To cover the

same distance in 1 hours, it must travel at a

speed of:

A. 300 kmph B. 360 kmph

C. 600 kmph D. 720 kmph

3. If a person walks at 14 km/hr instead of 10

km/hr, he would have walked 20 km more.

The actual distance travelled by him is:

A. 50 km B. 56 km

C. 70 km D. 80 km

4. A train can travel 50% faster than a car. Both

start from point A at the same time and reach

point B 75 kms away from A at the same

time. On the way, however, the train lost

about 12.5 minutes while stopping at the sta-

tions. The speed of the car is:



5. Excluding stoppages, the speed of a bus is

54 kmph and including stoppages, it is 45

kmph. For how many minutes does the bus

stop per hour?

A. 9 B. 10

C. 12 D. 20

6. In a flight of 600 km, an aircraft was slowed

down due to bad weather. Its average speed

for the trip was reduced by 200 km/hr and

the time of flight increased by 30 minutes. The

duration of the flight is:

A. 1 hour B. 2 hours

C. 3 hours D. 4 hours

7. A man complete a journey in 10 hours. He

travels first half of the journey at the rate of

21 km/hr and second half at the rate of 24

km/hr. Find the total journey in km.

A. 220 km B. 224 km

C. 230 km D. 234 km

8. The r.atio between the speeds of two trains

is 7 : 8. If the second train runs 400 km in 4

hours, then the speed of the first train is:


C. 84 km/hr D. 87.5 km/hr

9. A man on tour travels first 160 km at 64 km/

hr and the next 160 km at 80 km/hr. The av-

erage speed for the first 320 km of the tour

is:

A. 35.55 km/hr B. 36 km/hr

C. 71.11 km/hr D. 71 km/hr

10. A car travelling with of its actual speed

covers 42 km in 1 hr 40 min 48 sec. Find the

actual speed of the car.

A. 176km/hr7 B. 25 km/hr


11. In covering a distance of 30 km, Abhay takes

2 hours more than Sameer. If Abhay doubles

his speed, then he would take 1 hour less

than Sameer. Abhays speed is:

A. 5 kmph B. 6 kmph

C. 6.25 kmph D. 7.5 kmph

12. Robert is travelling on his cycle and has cal-culated to reach point A at 2 P.M. if he trav-

els at 10 kmph, he will reach there at 12 noon

if he travels at 15 kmph. At what speed must

he travel to reach A at 1 P.M.?



13. It takes eight hours for a 600 km journey, if


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120 km is done by train and the rest by car.

It takes 20 minutes more, if 200 km is done

by train and the rest by car. The ratio of the

speed of the train to that of the cars is:

A. 2 : 3 B. 3 : 2

C. 3 : 4 D. 4 : 3

14. A farmer travelled a distance of 61 km in 9

hours. He travelled partly on foot @ 4 km/hr

and partly on bicycle @ 9 km/hr. The dis-

tance travelled on foot is:

A. 14 km B. 15 km

C. 16 km D. 17 km

15. A man covered a certain distance at some

speed. Had he moved 3 kmph faster, he

would have taken 40 minutes less. If he had

moved 2 kmph slower, he would have taken

40 minutes more. The distance (in km) is:

A. 35 B. 3623

C. 3712 D. 40

16. In what time would a 80 metre long train,

travelling at the speed of 40 km/h, cross a

100 metre long platform?

A. 18 seconds B. 16.2 seconds

C. 9 seconds D. 7.2 seconds

E. None of these

17. Due to a technical snag, a train travels at three-

fourth of its usual speed. How much longer

will it take to cover the distance that it nor-

mally covers in one hour?

A. 15 minutes B. 30 minutes

C. 45 minutes D. 20 minutes

E. None of these

18. Arun travelled 1,200 km by air, which ac-

counts for two-fifth of his total journey. Fur-

ther, one-third of the journey was by car and

the rest of it was by train. What is the dis-

tance travelled by Ashok by train?

A. 480km B. 1,800 km

C. 1,600 km D. 800 km

E. None of these

19. A cyclist travels two third of the total dis-

tance of his journey at the speed of 20 km/h,

while the rest of it at the speed of 10km/h.

What is the overall speed of hte entrie jour-

ney?

A. 12 km/h B. 16 km/h

C. 17 km/h D. 15 km/h

E. None of these

20. A steamer going downstream takes four

hours to cove the distance that it covers in 5

hours while going upstream. If the speed of

the stream is 2 km/h, what is the speed of the

steamer in still water?

A. 15 km/h B. 18 km/h

C. 9 km/h D. 12 km/h

E. None of these

21. The distance between two stations A and

B is 220 km. A train leaves station A to-

wards B at the speeed of 80 km/h. Half an

hour later, another train leaves B towards

A at the speed of 100 km/h. At what dis-

tance from A will the two trains meet?

A. 120 km B. 130 km

C. 140 km D. 160 km

E. None of these

22. A person rows one kilometer down the

stream in 10 minutes and returns in 30 min-

utes. What is the velocity of the current?

A. 3 km/h B. 6 km/h

C. 2 km/h D. 4 km/hE. None of these

23. A train passes over a 1,000 metre long bridge

in 2 minutes. The length of the train is half

that of the bridge. What is the speed of the

train?

A. 45 km/h B. 30 km/h

C. 50 km/h D. 44 km/h


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E. None of these

24. A train, travelling at 48 km/h, takes one minute

to pass a lelegraph pole. What is the length

of he train in metres?

A. 80 B. 320

C. 800 D. 1,000E. None of these

25. A man can row 1 km against the current of a

river in 6 minutes and with the current in 5

minutes. What is the speed of the river (in

km/h)?

A. B. 1

C. 11 D. 22

E. None of these

26. A train 750 metres long takes 70 seconds to

completely pass a 1 km long railway plat-

form. What is the speed of he train in km/h?

A. 100 B. 90

C. 75 D. 60

E. None of these

27. A man, to rach his office, has to spend 70%

of his travelling time in a train, 15% in the bus

and 10% in walking. If he spends 5 minutes

waiting at the bus stop or the railway station,

how many minutes does he spend travelling

by bus and train?

A. 1 hr 10 min B. 1 hr 25 min

C. 2 hrs. 5 min D. 2 hrs. 15 min

E. None of these

28. Two trains are travelling towards one another,

on parallel tracks, at speeds of 68 and 76

km/h respectively. If the two trains are re-

spectively 800 m and 880 m long, how manyseconds will elapse before they are com-

pletely clear from on eanother?

A. 36 seconds B. 45 seconds

C. 30 seconds D. 42 seconds

E. None of these

29. A man can row 9 km an hour in still water. If

he takes twice as long to row up as to row

down a river, what is the rate of he flow ofthe river?

A. 1 km/h B. 1.5 km/h

C. 3 km/h D. 6 km/h

E. None of these

30. Two trains, 750 m and 1,050 m long, are

travelling in the same direction, at speeds of

108 and 72 km/h respectively. How many

seconds will elapsse before they are com-

pletely clear from one another?

A. 180 B. 150

C. 60 D. 20

E. None of these


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TIME AND WORK

1. A can do a work in 15 days and B in 20

days. If they work on it together for 4 days,

then the fraction of the work that is left is :

A. 14 B. 110

C. 715 D. 815

2. A can lay railway track between two given

stations in 16 days and B can do the same

job in 12 days. With help of C, they did the

job in 4 days only. Then, C alone can do the

job in:

A. 91days5 B. 92days5

C. 93days5 D. 10

3. A, B and C can do a piece of work in 20, 30

and 60 days respectively. In how many days

can A do the work if he is assisted by B and

C on every third day?

A. 12 days B. 15 days

C. 16 days D. 18 days

4. A is thrice as good as workman as B and

therefore is able to finish a job in 60 days

less than B. Working together, they can do itin:

A. 20 days B. 221days2


5. A alone can do a piece of work in 6 days

and B alone in 8 days. A and B undertook to

do it for Rs. 3200. With the help of C, they

completed the work in 3 days. How much is

to be paid to C?

A. Rs.375 B. Rs.400

C. Rs.600 D. Rs.800

6. If 6 men and 8 boys can do a piece of work

in 10 days while 26 men and 48 boys can do

the same in 2 days, the time taken by 15 men

and 20 boys in doing the same type of work

will be:

A. 4 days B. 5 days

C. 6 days D. 7 days

7. A can do a piece of work in 4 hours; B and

C together can do it in 3 hours, while A and

C together can do it in 2 hours. How long

will B alone take to do it?

A. 8 hours B. 10 hours

C. 12 hours D. 24 hours

8. A can do a certain work in the same time in

which B and C together can do it. If A and B

together could do it in 10 days and C alone

in 50 days, then B alone could do it in:

A. 15 days B. 20 daysC. 25 days D. 30 days

9. A does 80% of a work in 20 days. He then

calls in B and they together finish the remain-

ing work in 3 days. How long B alone would

take to do the whole work?


C. 37 D. 40 days

10. A machine P can print one lakh books in 8

hours, machine Q can print the same number

of books in 10 hours while machine R can

print them in 12 hours. All the machines are

started at 9 A.M. while machine P is closed

at 11 A.M. and the remaining two machines

complete work. Approximately at what time

will the work (to print one lakh books) be

finished ?

A. 11:30 A.M. B. 12 noon

C. 12:30 P.M. D. 1:00 P.M.

11. A can finish a work in 18 days and B can do

the same work in 15 days. B worked for 10

days and left the job. In how many days, A

alone can finish the remaining work?

A. 5 B. 512

C. 6 D. 8


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12. 4 men and 6 women can complete a work in

8 days, while 3 men and 7 women can com-

plete it in 10 days. In how many days will 10

women complete it?

A. 35 B. 40

C. 45 D. 50

13. A and B can together finish a work 30 days.

They worked together for 20 days and then

B left. After another 20 days, A finished the

remaining work. In how many days A alone

can finish the work?

A. 40 B. 50

C. 54 D. 60

14. P can complete a work in 12 days working 8

hours a day. Q can complete the same work

in 8 days working 10 hours a day. If both P

and Q work together, working 8 hours a day,

in how many days can they complete the

work?

A. 5511 B. 5611

C. 6511 D. 6611

15. 10 women can complete a work in 7 days

and 10 children take 14 days to complete

the work. How many days will 5 women and

10 children take to complete the work?

A. 3 B. 5


E. None of these

16. X and Y can do a piece of work in 20 days

and 12 days respectively. X started the work

alone and then after 4 days Y joined him till

the completion of the work. How long did

the work last?



17. A is 30% more efficient than B. How much

time will they, working together, take to com-

plete a job which A alone could have done in

23 days?


C. D. None of these

18. Ravi and Kumar are working on an assign-

ment. Ravi takes 6 hours to type 32 pages

on a computer, while Kumar takes 5 hours

to type 40 pages. How much time will they

take, working together on two different com-

puters to type an assignment of 110 pages?

A. 7 hours 30 minutes

B. 8 hours

C. 8 hours 15 minutes

D. 8 hours 25 minutes

19. A, B and C can complete a piece of work in

24, 6 and 12 days respectively. Working to-

gether, they will complete the same work in:

A. 1 B. 7

C. D. 4 days

20. Sakshi can do a piece of work in 20 days.

Tanya is 25% more efficient than Sakshi. The

number of days taken by Tanya to do the

same piece of work is:

A. 15 B. 16

C. 18 D. 25

21. A takes twice as much time as B or thrice as

much time as C to finish a piece of work.

Working together, they can finish the work in

2 days. B can do the work alone in:

A. 4 days B. 6 days


22. A and B can complete a work in 15 days

and 10 days respectively. They started doingthe work together but after 2 days B had to

leave and A alone completed the remaining

work. The whole work was completed in :



23. A and B can do a piece of work in 30 days,

while B and C can do the same work in 24

3 days17

20

24day

373 day

day24


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days and C and A in 20 days. They all work

together for 10 days when B and C leave.

How many days more will A take to finish

the work?



24. A works twice as fast as B. If B can com-

plete a work in 12 days independently, the

number of days in which A and B can to-

gether finish the work in :

A. 4 days B. 6 days


25. Twenty women can do a work in sixteen

days. Sixteen men can complete the same

work in fifteen days. What is the ratio be-

tween the capacity of a man and a woman?

A. 3 : 4 B. 4 : 3

C. 5 : 3 D. Data inadequate

26. A and B can do a work in 8 days, B and C

can do the same work in 12 days. A, B and

C together can finish it in 6 days. A and C

together will do it in :

A. 4 days B. 6 days


27. A can finish a work in 24 days, B in 9 days

and C in 12 days. B and C start the work but

are forced to leave after 3 days. The remain-

ing work was done by A in:

A. 5 days B. 6 days

C. 10 days D.

28. X can do a piece of work in 40 days. He

works at it for 8 days and then Y finished it in

16 days. How long will they together take to

complete the work?

A. 13 B. 15 days


29. A and B can do a job together in 7 days. A is

1 times as efficient as B. The same job can

be done by A alone in :

A. 9 B. 11 days

C. 12 D. 16

30. A and B together can do a piece of work in

30 days. A having worked for 16 days, B

finishes the remaining work alone in 44 days.

In how many days shall B finish the whole

work alone?



10 days21

days31

days31

days41

days31


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ALLIGATION AND MIXTURE

1. A vessel is filled with liquid, 3 parts of which

are water and 5 parts syrup. How much of

the mixture must be drawn off and replaced

with water so that the mixture may be half

water and half syrup?

A. 1 B. 1

C. 1 D. 1

2. Tea worth Rs. 126 per kg and Rs. 135 per

kg are mixed with a third variety in the ratio 1

: 1 : 2. If the mixture is worth Rs. 153 per kg,

the price of the third variety per kg will be:

A. Rs.169.50 B. Rs.170

C. Rs.175.50 D. Rs.180

3. A can contains a mixture of two liquids A and

B is the ratio 7 : 5. When 9 litres of mixture

are drawn off and the can is filled with B, the

ratio of A and B becomes 7 : 9. How many

litres of liquid A was contained by the can

initially?

A. 10 B. 20

C. 21 D. 25

4. A milk vendor has 2 cans of milk. The first

contains 25% water and the rest milk. The

second contains 50% water. How much milk

should he mix from each of the containers so

as to get 12 litres of milk such that the ratio

of water to milk is 3 : 5?

A. 4 litres, 8 litres

B. 6 litres, 6 litres

C. 5 litres, 7 litres

D. 7 litres, 5 litres

5. In what ratio must a grocer mix two varieties

of pulses costing Rs. 15 and Rs. 20 per kg

respectively so as to get a mixture worth Rs.

16.50 kg?

A. 3 : 7 B. 5 : 7

C. 7 : 3 D. 7 : 5

6. A dishonest milkman professes to sell his milk

at cost price but he mixes it with water and

thereby gains 25%. The percentage of water

in the mixture is:

A. 4% B. 6 %

C. 20% D. 25%

7. How many kilogram of sugar costing Rs. 9

per kg must be mixed with 27 kg of sugar

costing Rs. 7 per kg so that there may be a

gain of 10% by selling the mixture at Rs. 9.24

per kg?

A. 36 kg B. 42 kg

C. 54 kg D. 63 kg

8. A container contains 40 litres of milk. From

this container 4 litres of milk was taken out

and replaced by water. This process was re-

peated further two times. How much milk is

now contained by the container?

A. 26.34 litres B. 27.36 litres

C. 28 litres D. 29.l6 litres

9. A jar full of whisky contains 40% alcohol. Apart of this whisky is replaced by another

containing 19% alcohol and now the percent-

age of alcohol was found to be 26%. The

quantity of whisky replaced is:

A. 13 B. 23

C. 25 D. 35

10. In what ratio must water be mixed with milk

to gain 16 % on selling the mixture at cost

price?

A. 1 : 6 B. 6 : 1

C. 2 : 3 D. 4 : 3

11. Find the ratio in which rice at Rs. 7.20 a kg

be mixed with rice at Rs. 5.70 a kg to pro-

duce a mixture worth Rs. 6.30 a kg.

A. 1 : 3 B. 2 : 3

3

5

4

7


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C. 3 : 4 D. 4 : 5

12. In what ratio must a grocer mix two varieties

of tea worth Rs. 60 a kg and Rs. 65 a kg so

that by selling the mixture at Rs. 68.20 a kg

he may gain 10%?

A. 3 : 2 B. 3 : 4

C. 3 : 5 D. 4 : 5

13. The cost of Type 1 rice is Rs. 15 per kg and

Type 2 rice is Rs. 20 per kg. If both Type 1

and Type 2 are mixed in the ratio of 2 : 3,

then the price per kg of the mixed variety of

rice is:

A. Rs.18 B. Rs.18.50

C. Rs.19 D. Rs.19.50

14. 8 litres are drawn from a cask full of wineand is then filled with water. This operation is

performed three more times. The ratio of the

quantity of wine now left in cask to that of

water is 16 : 81. How much wine did the

cask hold originally?



15. A merchant has 1000 kg of sugar, part of

which he sells at 8% profit and the rest at18% profit. He gains 14% on the whole. The

quantity sold at 18% profit is:

A. 400 kg B. 560 kg

C. 600 kg D. 640 kg

16. Ten litres of a solutin of salt in water contains

25% salt. How much water must be evapo-

rated from the solution so as to increases the

salt content to 450%?

A. 7.5 litres B. 3.75 litres

C. 2.5 litres D. 1.75 litres

E. None of these

17. The contents of two containers of equal

wolume containing water and milk in the ra-

tio 5 : 4 and 1 :2 respectively are added to-

gether to form a third solution. What is the

ratio of the quantities of water and milk in the

resultant solution?

A. 4 : 3 B. 4 : 5

C. 4 : 1 D. 1 : 2

E. None of these

18. One litre water is added to a three litre solu-tion of sugar in water containing 40% sugar.

What is the revised content of sugar in the

new solution so formed?

A. 30% B. 33%

C. 36% D. 38%

E. None of these

19. A liquid contains 80% pure spirit. Another

liquid contains 55% pure spirit. In what ratio

should these liquids be mixed together so as

to obtain a mixture containing 70% pure

spirit?

A. 2 : 3 B. 4 : 5

C. 3 : 1 D. 3 : 2

E. None of these

20. In what ratio should coal at the rate of Rs.20

per kg, be mixed with coal at the rate Rs.17

per kg so that if the mixture is sold at the rate

of 19.80 per kg, 10% nprofit is made?

A. 1 : 2 B. 3 : 5

C. 2 : 1 D. 3 : 2

E. None of these

21. If 40 litres of a mixture is made up of milk

and water in the ratio of 3 : 1, how much

water should be added to it so as to obtain a

ratio of Milk to Water as 1 : 3 in the newmixture?



E. None of these

22. In what ratio must a grocer mix two types of

commodities that cost Rs.15 and Rs.20 per

kg respectively so as to get the mixtrue cost-


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ing Rs.18 per kg?

A. 2 : 3 B. 2 : 5

C. 3 : 1 D. 3 :2

E. None of these

23. If one litre water is added to 800 ml solution

that contains 15% salt, what percent of the

resuling solution will the salt be?

A. 6 B. 10

C. 5 D. 2

24 If a 75 litres mixture of milk and water con-

tains 10% milk, how much pure water should

be added to it so that half a litre of the result-

ant mixture would contain 37.5 millilitre milk?



E. None of these

25. In a farm, there are some cows and some

tens. If their heads are counted, they are 100

and if their legs are sounted, they are 250.

How many cows does the farm have?

A. 75 B. 25

C. 60 D. 40

E. None of these

26. A trader mixes certain quantities of two vari-

eties of a certain commodity costing Rs.60

per kg and Rs.80 per kg respectively. He then

sells the mixture at Rs.90 per kg, thereby

making an overall profit of 20%. What is the

ratio of the quantities of the two varieties in

the mixture?

A. 1 : 3 B. 3 : 5

C. 2 : 1 D. 3 : 2

E. None of these

27. Two solutions of acid in water containing 5%

and 8% acid respectively are mixed in a cer-

tain ratio. Thw mixture is then boiled to 2/3rd

of its quantity by evaporation water. If the

resultant solution contains 10% acid now,

what is the ratio in which the two solutions

are mixed?

A. 1 : 2 B. 4 : 5

C. 2 : 3 D. 3 : 2

E. None of these

28. 20 litre water is added to 20 litre 20% solu-

tion of alcohol in water. What is the percent-age strength of alcohol in the mixture now?

A. 10 B. 12

C. 14 D. 16

E. None of these

29. How much water should be added to 900 ml

of 50% solution of acid to reduce its strength

to 45%?

A. 81 ml B. 90 ml

C. 100 ml D. 162 ml

E. None of these

30. In what ratio must 25% alcohol be mixed with

50% alcohol to gety a mixture of 40% alco-

hol strength?

A. 1 : 2 B. 2 : 5

C. 2 : 3 D. 3 : 2

E. None of these

3

2

2

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CLOCKS

1. An accurate clock shows 8 oclock in the

morning. Through how may degrees will the

hour hand rotate when the clock shows 2

oclock in the afternoon?

A. 144 B. 150

C. 168 D. 180

2. The reflex angle between the hands of a clock

at 10.25 is:

A. 180 B. 192

C. 195 D. 197

3. A clock is started at noon. By 10 minutes

past 5, the hour hand has turned through:

A. 145 B. 150

C. 155 D. 160

4. A watch which gains 5 seconds in 3 minutes

was set right at 7 a.m. In the afternoon of the

same day, when the watch indicated quarter

past 4 oclock, the true time is:

A. 59 min. past 3

B. 4 p.m.

C. 58 min. past 3

D. 2 min. past 4

5. How much does a watch lose per day, if its

hands coincide every 64 minutes?

A. 32 min. B. 36 min.

C. 90 min. D. 96 min.

6. At what time between 7 and 8 oclock will

the hands of a clock be in the same straight

line but, not together?

A. 5 min. past 7

B. 5 min. past 7

C. 5 min. past 7

D. 5 min. past 7

7. At what time between 5.30 and 6 will the

hands of a clock be at right angles?

A. 43 min. past 5

B. 43 min. past 5

C. 40 min. past 5

D. 45 min. past 5

8. The angle between the minute hand and the

hour hand of a clock when the time is 4.20,

is:

A. 0 B. 10

C. 5 D. 20

9. At what angle the hands of a clock are in-

clined at 15 minutes past 5?

A. 58 B. 64

C. 67 D. 72

10. At 3.40, the hour hand and the minute hand

of a clock form an angle of:

A. 120 B. 125

C. 130 D. 135

11. How many times are the hands of a clock at

right angle in a day?

A. 22 B. 24

C. 44 D. 48

12. The angle between the minute hand and the

hour hand of a clock when the time is 8.30,

is:

A. 80 B. 75

C. 60 D. 105

21

21

118

115

112

113

115

127

117

113

115

117

21

21

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13. How many times in a day, are the hands of a

clock in straight line but opposite in direc-

tion?

A. 20 B. 22

C. 24 D. 48

14. At what time between 4 and 5 oclock willthe hands of a watch point in opposite direc-

tions?

A. 45 min. past 4

B. 40 min. past 4

C. 50 min. past 4

D. 54 min. past 4

15. At what time between 9 and 10 oclock willthe hands of a watch be together?

A. 45 min. past 9

B. 50 min. past 9

C. 49 min. past 9

D. 48 min. past 9

16.

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