BASIC NUMERACY (FUNDAMENTAL...

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BASIC NUMERACY (FUNDAMENTAL LEVEL)

INSIGHT GEN. STUDIES & CSAT

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Ph. 011-45090051, 09818333201, 09871216382

CSAT TEST SERIES – IAS PRELIMS 2020

BASIC NUMERACY – (FUNDAMENTAL LEVEL)

1. Consider the following statements:

I. Zero is the smallest natural number.

II. Zero is the smallest whole number.

III. All natural numbers are whole numbers.

IV. All whole numbers are natural numbers.

Which of the given above statement(s) is/are correct?

(a) Only I and II

(b) Only II and III

(c) Only II, III and IV

(d) None of the above

2. Consider the following points:

I. The natural number 1 has no predecessor.

II. 1 is the smallest whole number.

III. The predecessor of a two digit number is never a single digit number.

IV. The whole number 1 has no predecessor.

Which of the above points is/are incorrect?

(a) Only I

(b) Only I and II


(d) All of the above

3. A taxi driver filled his car petrol tank with 40 litres of petrol on Monday. The next day, he filled the tank with 50 litres of petrol. If the petrol costs Rs 44 per litre, how much did he spend in all on petrol?

(a) 3,960

(b) 2,960

(c) 3,680



I. The sum of two odd numbers and one even number is even.

II. The product of three odd numbers is odd.

III. The sum of three odd numbers is even.

IV. If an even number is divided by 2, the quotient is always odd.


(a) Only I and II

(b) Only II and III

(c) Only III and IV



I. 2 is the only even prime number.

II. Prime numbers do not have any factors.

III. Sum of two prime numbers is always even.

Which of the above points is/are correct?

(a) Only I

(b) Only I and II

(c) Only II and III



I. All even numbers are composite numbers.

II. The product of two even numbers is always even.

III. Two prime numbers whose difference is 2 are called twin primes.


(a) Only I

(b) Only I and II

(c) Only II and III



I. A number which has only two factors is called a composite number.

II. A number which has more than two factors is called a prime number.

III. 1 is neither prime number nor composite number.

IV. The smallest composite number is 4.


(a) Only I and II

(b) Only III and IV

(c) Only I, II and III


8. Look at the following numbers and determine which of these numbers are divisible by 11?

I. 7138965

II. 70169308

Codes:

(a) Only I

(b) Only II

(c) Both I and II

(d) Neither I and II

9. Look at the following numbers and find out which of the following numbers are divisible by 4 and by 8 both.

I. 31795072

II. 21084

III.1700

Codes: (a) Only I (b) Only I and II (c) Only II and III (d) All of the above


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10. Write a digit in the blank space of numbers 8 __ 9484 so that the number formed is divisible by 11.

(a) 6

(b) 7

(c) 8


11. A number is divisible by both 5 and 12. By which other number will that number be always divisible?

(a) 180

(b) 60

(c) 120



I. If a number is divisible by 3, it must be divisible by 9.

II. If a number is divisible by 9, it must be divisible by 3.

III. A number is divisible by 18, if it is divisible by both 3 and 6.

IV. If a number is divisible by 9 and 10 both, then it must be divisible by 90.


(a) Only I and III

(b) Only II and IV




I. If a number exactly divides two numbers separately, it must exactly divide their sum.

II. If two numbers are co-primes, at least one of them must be prime.

III. All numbers which are divisible by 4 must also be divisible by 8.

IV. If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.


(a) Only I

(b) Only I and II




I. The product of three consecutive numbers is always divisible by 6.

II. The sum of two consecutive odd numbers is divisible by 4.


(a) Only I

(b) Only II

(c) Both I and II

(d) Neither I and II

15. Chalk contains calcium, carbon and oxygen in the ratio 10:3:12. Find the percentage of carbon in chalk.

(a) 12 %

(b) 10 %

(c) 8 %


16. Renu purchases two bags of fertiliser of weights 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertiliser exact number of times.

(a) 5 kg

(b) 6 kg

(c) 9 kg


17. Three boys step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. What is the minimum distance each should cover so that all can cover the distance in complete steps?

(a) 5.93 m

(b) 3.93 m

(c) 6.93 m


18. The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they change simultaneously at 7 a.m., at what time will they change simultaneously again?

(a) 7:07:12 a.m

(b) 7:12:12 a.m

(c) 7:14:12 a.m



I. Each angle of a rectangle is always a right angle.

II. The opposite sides of a rectangle are always equal in length.

III. The diagonals of a square are always perpendicular to one another.

IV. All the sides of a rhombus are always of equal length.

V. All the sides of a parallelogram are always of equal length.

VI. The opposite sides of a trapezium are always parallel.


(a) Only I, II and III

(b) Only I, II, III and IV

(c) Only II, III, IV and V




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I. A rectangle can be thought of as a special parallelogram.

II. A square can be thought of as a special rhombus.

III. Squares, rectangles, parallelograms are all quadrilaterals.

IV. Square is also a parallelogram.


(a) Only I and II

(b) Only I, II and III

(c) All of the above


21. In a class A of 25 students, 20 passed in first class; in another class B of 30 students, 24 passed in first class. In which class was a greater fraction of students getting first class?

(a) Class A

(b) Class B

(c) Same fraction of students in both the classes

(d) Cannot be determined

22. In which of the following the place value of 2 is least?

I. 2.56

II. 21.37

III. 10.25

IV. 9.42

V. 63.352

Codes:

(a) I

(b) II

(c) IV


23. Arun bought a car for Rs 3,50,000. The next year, the price went upto Rs 3,70,000. What was the Percentage of price increase?

(a) 35

7%

(b) 45

7%

(c) 55

7%


24. If you subtract 1

2from a number and multiply the

result by 1

2, you get

1

8. What is the number?

(a) 1

4

(b) 1

2

(c) 1

5


25. Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.

(a) 9, 10, 11

(b) 5, 6, 7

(c) 7, 8, 9


26. The organisers of an essay competition decide that a winner in the competition gets a prize of Rs 100 and a participant who does not win gets a prize of Rs 25. The total prize money distributed is Rs 3,000. Find the number of winners, if the total number of participants is 63.

(a) 19

(b) 22

(c) 21


27. A positive number is 5 times of another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What is smaller number among them?

(a) 35

(b) 70

(c) 27


28. One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?

(a) 26

(b) 62

(c) Both (a) and (b)


29. Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.

(a) 60

(b) 48

(c) 88



I. All squares are parallelograms.

II. All trapeziums are quadrilateral.

III. All squares are rhombuses and as also rectangles.

IV. All squares are trapeziums.




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(a) Only I and II

(b) Only I, II and III



31. Observe the following pattern and supply the missing numbers.

11= 1 2 1

101 = 1 0 2 0 1

1001 = …….....

Codes:

(a) 1012010

(b) 1002001

(c) 102030201


32. The students of Class VIII of a school donated Rs 2401 in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.

(a) 49

(b) 32

(c) 41


33. Find the least number which must be added to 6412 so as to get a perfect square.

(a) 81

(b) 181

(c) 149



I. Cube of any odd number is even.

II. If square of a number ends with 5, then its cube ends with 25.

III. The cube of a single digit number will never be a single digit number.

IV. A perfect cube does not end with two zeros.


(a) Only I

(b) Only I and II



35. On Sunday 845 people went to the Zoo. On Monday only 169 people went. What is the per cent decrease in the people visiting the Zoo on Monday?

(a) 40%

(b) 60%

(c) 80%


36. The sum of a two-digit number and the number obtained by reversing the digits is 66. If the digits of the number differ by 2, find the number.

(a) 42

(b) 24

(c) Both (a) and (b)


37. One says, “Give me a hundred, friend! I shall then become twice as rich as you”. The other replies, “If you give me ten, I shall be six times as rich as you”. Tell me what is the amount of the capital with second person?

(a) Rs. 170

(b) Rs. 40

(c) Rs. 140


38. A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs 200 for the first day, Rs 250 for the second day, Rs 300 for the third day, etc., the penalty for each succeeding day being Rs 50 more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days?

(a) 25750

(b) 26750

(c) 27750


39. A sum of Rs 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, find the value of the highest prize.

(a) 160

(b) 140

(c) 120


40. In a flower bed, there are 23 rose plants in the first row, 21 in the second, 19 in the third, and so on. There are 5 rose plants in the last row. How many rows are there in the flower bed?

(a) 8

(b) 10

(c) 9


41. There are two numbers such that the sum of twice the first number and thrice the second number is 100. The sum of thrice the first number and twice the second number is 120. Which is the larger number?

(a) 32

(b) 12

(c) 14

(d) 35



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42. What will be the approximate difference in the simple and compound interest accrued on an amount of Rs. 2600 @ 15% per annum at the end of three years?

(a) 167

(b) 194

(c) 202

(d) 184

43. The ratio of the present ages of Alexi and Julee is 16:13 respectively. Four years ago the respectively ratio of their ages was 14:11. What will be Julee’s age four years from now?

(a) 28 years

(b) 32 years

(c) 26 years

(d) None of these

44. By how much is 3

4th of 968 less than

7

8th of 1008?

(a) 154

(b) 146

(c) 158

(d) None of these

45. When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in the rows of 45, how many such rows can be formed?

(a) 25

(b) 42

(c) 36

(d) 32

46. The average age of 80 boys in a class is 15. The average age of a group of 15 boys in the class is 16 and the average age of another 25 boys in the class is 14. What is the average age of the remaining boys in the class?

(a) 15.25

(b) 14

(c) 14.75


47. Raman scored 456 marks in an exam and Seeta got 54 percent marks in the same exam which is 24 marks less than Raman. If the minimum passing marks in the exams is 34 percent, then how much more marks did Raman score than the minimum passing marks?

(a) 184

(b) 196

(c) 190

(d) 180

48. A sum of Rs 731 is divided among A, B and C, such that ‘A’ receives 25% more than ‘B’ and ‘B’ receives 25% less than ‘C’. What is C’s share in the amount?

(a) 172

(b) 200

(c) 262

(d) None of these

49. If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 300%, the resultant fraction is 5/18. What is the original fraction?

(a) 4/9

(b) 4/5

(c) 8/9

(d) 5/9

50. Ravi borrowed some money at the rate of 4% per annum for the first three years, at the rate of 8% per annum for the next two years and at the rate of 9% per annum for the period beyond 5 years. If he pays a total simple interest of Rs. 19,550/- at the end of 7 years, how much money did he borrow?

(a) Rs. 39,500/-

(b) Rs. 42,500/-

(c) Rs. 41,900/-

(d) Rs. 43,000/-

51. Seema purchased an item for Rs. 2,600 and sold it for a loss of 5 percent. From that money she purchased another item and sold it for gain of 5 percent. What is her overall gain/loss?

(a) Loss of Rs 36

(b) Profit of Rs 24

(c) Profit of Rs 36

(d) None of these

52. The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest number?

(a) 165

(b) 175

(c) 163

(d) 164

53. In a school there are 2000 students out of whom 36 percent are girls. Each boy’s monthly fee is Rs. 480/- and each girl’s monthly fee is 25 percent less than a boy. What is total of the monthly fees of girls and boys together?

(a) 8,73,400/-

(b) 8,67,300/-

(c) 8,73,600/-

(d) None of these

54. Rohit has some 50 paisa coins, some 2 rupee coins, some 1 rupee coins and some 5 rupee coins. The value



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of all the coins is Rs. 50/-. Number of 2 rupee coins is 5 more than the 5 rupee coins. 50 paisa coins are double in number than 1 rupee coin. Value of 50 paisa coins and 1 rupee coins is Rs. 26/-. How many 2 rupee coins does he have?

(a) 4

(b) 2

(c) 7

(d) 5

55. On the shelf three are 4 books on Economics, 3 books on Management and 4 books on Statistics. In how many different ways can the books be arranged so that the books on Economics are kept together?

(a) 967680

(b) 120960

(c) 5040

(d) 403020

56. Twenty five percent of Pranab’s annual salary is equal to eighty percent of Surya’s annual salary. Surya’s monthly salary is forty percent of Dheeru’s monthly salary. If Dheeru’s annual salary is Rs. 6 lacs. What is Pranab’s monthly salary?

(a) Rs. 7.68 lacs

(b) Rs. 56,800/-

(c) Rs. 8.4 lacs

(d) Rs. 64,000/-

57. In a test minimum passing percentage for girls and boys is 30% and 45% respectively. A boy scored 280 marks and failed by 80 marks. How many more marks did a girl require to pass in the test if she scored 108 marks?

(a) 240

(b) 132

(c) 160

(d) 172

58. Mr. Pandit owned 950 gold coins. All of these coins were distributed by him amongst his three daughters Lalitha, Amita and Neeta. Lalitha gave 25 gold coins to her husband, Amita donated 15 gold coins and Neeta made jewellery out of 30 gold coins. The new respective ratio of the coins left with them was 20: 73: 83. How many gold coins did Amita receive from Mr. Pandit?

(a) 380

(b) 415

(c) 400

(d) 350

59. In an examination, a student was asked to find 3/14 of a certain number. By mistake, he found 3/4 of it. His answer was 150 more than the correct answer. The given number is:

(a) 450

(b) 300

(c) 180

(d) 280

60. A group of investigations took a fair sample of 1972 children from the general population and found that there are 1000 boys and 972 girls. If the investigators claim that their research is so accurate that the sex of a new born child can be predicted based on the ratio of the sample of the population, then what is the expectation in terms of the probability that a new child born will be a girl?

(a) 243/250

(b) 250/257

(c) 9/10

(d) 243/493

61. A florist has 400 roses and 360 jasmines with him. He was asked to make garlands of flowers with only roses or only jasmines each containing the same number of flowers. What will be the largest number of flowers, he can join together without leaving a single flower?

(a) 40

(b) 30

(c) 20

(d) 50

62. On Republic day sweets were to be equally distributed among 450 children. But on that particular day, 150 children remained absent. Thus, each child got 3 sweets extra. How many sweets did each child get?

(a) 6

(b) 12

(c) 9

(d) 10

63. Sum of square of first number and cube of second number is 568 together. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number?

(a) 18

(b) 8

(c) 9

(d) 16

64. Rahul spends 50% of his monthly income in household items, 20% of his monthly income on buying clothes, 5% of his monthly income on medicines and the remaining amount 11,250 Rs. he saves. What is Rahul’s monthly income?

(a) 38,200/-

(b) 34,000/-

(c) 41,600/-

(d) 45,000/-



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65. Which one of the following has fractions in descending order?

(a) 8/9, 9/11, 4/7, 3/5

(b) 4/7, 3/5, 9/11, 8/9

(c) 8/9, 9/11, 3/5, 4/7

(d) 3/5, 4/7, 9/11, 8/9

66. The greatest number among √2,3 √3,4 and √5 6

is:

(a) √2 3

(b) √34

(c) √5 6


67. 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) Data insufficient

68. 1/10 of a pole is coloured red, 1/20 white, 1/30 blue, 1/40 black, 1/50 violet, 1/60 yellow and rest is green. If the length of the green portion of the pole is 12.08 meters, then the length of the pole is:

(a) 16 m

(b) 18 m

(c) 20 m

(d) 30 m

69. At an international Dinner, 1/5 of the people attending were French men. If the number of French women at the dinner was 2/3 greater than the number of French men, and there were no other French people at the dinner, then what fraction of the people at the dinner were non- French?

(a) 1/5

(b) 2/5

(c) 2/3

(d) 7/15

70. A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?

(a) 26 minutes 18 seconds

(b) 42 minutes 36 seconds

(c) 45 minutes

(d) 46 minutes 12 seconds

71. The average temperature of the town in the first four days of a month was 58 degrees. The average for

the second, third, fourth and fifth days was 60 degrees. If the temperature of the first and fifth days were in the ratio 7: 8, then what is the temperature on the fifth day?

(a) 64 degrees

(b) 62 degrees

(c) 56 degrees

(d) None of these

72. (ma/mb)(a+b). (mb/mc)(b+c). (mc/ma)(c+a)=?

(a) 0

(b) 1

(c) m


73. Consider the following statements:

The numbers 24984, 26784 and 28584 are

I. Divisible by 3

II. Divisible by 4

III. Divisible by 9

Which of the above is/are correct?

(a) Only I and II

(b) Only II and III

(c) Only I and III


74. Consider the following statements about natural numbers:

I. There exists a smallest natural number.

II. There exists a largest natural number.

III. Between two natural numbers there is always a natural number.

Which of the above is/are correct?

(a) Only I

(b) Only I and II

(c) Only II and III


75. Consider the following quotients:

I. 368.39 divided by 17

II. 170.70 divided by 62

III. 875.65 divided by 83

Their correct sequence in decreasing order is:

(a) III–I–II

(b) II–I–III

(c) II–III–I

(d) I–III–II

76. The length and breadth of a rectangular field are in the ratio 3 : 2. If its area is 14,406 sq. m, then the difference between length and breadth is :

(a) 42 m

(b) 45 m

(c) 49 m




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77. Match List–I (square root) with List–II (nature) and select the correct answer using the codes given below the lists:

LIST–I

A. Square root of a negative real number

B. Square root of a prime number

C. Square root of an odd number

D. Square root of an even number

LIST–II

I. Odd number

II. Even number

III. Irrational number

IV. Imaginary number

Codes:

A B C D

(a) II I III IV

(b) IV III I II

(c) IV I III II

(d) II III I IV

78. Efficiency of B is 80% of A. If both can complete a work in 24 days, in how many days B alone will complete the same work?

(a) 54

(b) 50

(c) 49


79. A and B take 15 days and 10 days respectively to complete a job. Both of them together started the job, but after 2 days B had to leave the job due to some reasons and the remaining work was finished by A. In how many days the job was completed?

(a) 10 days

(b) 8 days

(c) 12 days


80. A rectangular park is 65 m long and 50 m wide. Two cross paths each 2 m wide are to be constructed parallel to the side. If these paths pass through the centre of the rectangle and cost of construction is Rs. 15 per sq. m. The total cost involved in the construction of the paths in Rs. is :

(a) 2,265

(b) 1,772

(c) 3,390


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BASIC NUMERACY (FUNDAMENTAL LEVEL)

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