Number System CUET General Test MCQs

Question: A number of three digits when divided by 2, 5, 9, 11 leaves remainder 1 in each case. The number is
a) 981
b) 983
c) 991
d) 997

Answer: c

Question: Each member of a picnic party contributed twice as many rupees as the total collection was Rs 3042. The number of members present in the party was
a) 2
b) 32
c) 42
d) 39

Answer: d

Question: The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is
a) 30
b) 33
c) 36
d) 45

Answer: b

Question: The sum of a two digit number and the number obtained by reversing its digits is a square number. How many such numbers are there?
a) 5
b) 6
c) 7
d) 8

Answer: d

Answer: d Question: The units digit of the expression 25⁶²⁵¹ + 36⁵²⁸ + 73⁵⁴ is
a) 6
b) 5
c) 4
d) 0

Answer: d

Question: In 337³³⁷, the unit digit is occupied by
a) 1
b) 3
c) 7
d) 9

Answer: c

Question: In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, then the dividend
a) 4236
b) 4306
c) 4336
d) 5336

Answer: d

Question: The difference between the largest 3 digit number and the smallest 2 digit number is
a) 989
b) 899
c) 998
d) 988

Answer: a

Question: The sum of odd numbers from 10 to 60 is
a) 775
b) 468
c) 921
d) 875

Answer: d

Question: What largest number of four digits is exactly divisible by 88?
a) 9988
b) 8888
c) 9768
d) 9944

Answer: d

Question: When a number is divided by 121, the remainder is 25. If the same number is divided by 11, the remainder will be
a) 3
b) 4
c) 6
d) 25

Answer: a

Question: When a number is divided by 24, the remainder is 16. The remainder when the same number is divided by 12 is
a) 3
b) 4
c) 6
d) 8

Answer: b

Question: In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is
a) 5
b) 7
c) 10
d) 12

Answer: b

Question: If x is a number midway between 10 and 16 and y is half of 78, then y/x is is equal to
a) 6
b) 5
c) 4
d) 3

Answer: d

Question: The simplified value of (1-1/3) (1-1/4) (1-1/5) …. (1-1/99) (1-1/100),  is
a) 2/99 
b) 1/25
c) 1/50
d) 1/100

Answer: c

Question: In a division problem, the divison is 4 times the quotient and 3 times the remainder. If the remainder is 4, the dividend is
a) 36
b) 40
c) 12
d) 30

Answer: b

Question: The sum of three consecutive natural numbers each divisible by 3 is 72. What is the largest among them?
a) 21
b) 24
c) 27
d) 30

Answer: c

Question: In a question on division with zero remainder, a candidate took 12 as divisor, instead of 21. The quotient obtained by him was 35. The correct quotient is
a) 13
b) 20
c) 0
d) 12

Answer: b

Question: The unit’s digit in the product 7⁷¹ × 6 ×⁶³ × 3⁶⁵ is
a) 1
b) 2
c) 3
d) 4

Answer: d

Question: The sum of all integers between 200 and 400 divisible by 9 is
a) 3366
b) 6633
c) 6336
d) 6363

Answer: b

Question: The sum of all natural numbers between 100 and 200 which are multiples of 3 is
a) 5000
b) 4950
c) 4980
d) 4900

Answer: b

Question: The unit digit of the expression 125⁸¹³ × 553³⁷⁰³ × 4532⁸²⁸ is
a) 4
b) 2
c) 0
d) 5

Answer: c

Question: Which of the least number should be added at 1000 to make it exactly divisible by 45?
a) 35
b) 80
c) 20
d) 10

Answer: a

Question: If 1²+ 2² + 3²+ … + x² = x (x + 1) (2x + 1)/ 6 , then 1² + 3² + 5² + … + 19² K is equal to
a) 1330
b) 2100
c) 2485
d) 2500

Answer: a

Question: Find the unit digit in the product of (268 × 539 × 826 × 102)
a) 5
b) 3
c) 4
d) 2

Answer: c

Question: On dividing a certain number by 357, the remainder is 39. On dividing the same number by 17. What will be the remainder?
a) 5
b) 3
c) 7
d) 6

Answer: a

Question: A number consists of two digits. If the digits interchange places and the new number is added to the original number, the resulting number will be divisible by
a) 11
b) 5
c) 3
d) 9

Answer: a

Question: What can be said about the expansion of 2¹²ⁿ − 6⁴ⁿ, where n is a positive integer?
a) Last digit is 4
b) Last digit is 8
c) Last digit is 2
d) Last two digits are zero

Answer: d

Question: Find the number of divisors of 1420.
a) 14
b) 15
c) 13
d) 12

Answer: d

Question: An 85 m long rod is divided into two parts. If one part is 2/3 of the other part, then the longer part (in m) is
a) 34
b) 56 2/3 
c) 85
d) 51

Answer: d

Question: The difference between the largest 4 digit number and the smallest 3 digit number is
a) 9899
b) 8999
c) 9989
d) 9889

Answer: a

Question: The unit’s place digit in the product (3127)¹⁷³ will be
a) 1
b) 3
c) 7
d) 9

Answer: c

Question: A number divided by 899 gives a remainder of 63. If the number is divided by 29, the remainder will be
a) 2
b) 5
c) 13
d) 28

Answer: b

Whole Numbers CUET General Test MCQs

Question: A number which when multiplied by 11 is as much above 180 as it was originally below it. The number is—
a) 25
b) 30
c) 40
d) 45

Answer: b

Question: The difference between the squares of two consecutive numbers is 25. The numbers are—
a) 11, 12
b) 12, 13
c) 15, 14
d) 14, 13

Answer: b

Question: A boy was asked to find 7/9 of a fraction. He made a mistake of dividing the fraction by 7/9 and so got an answer which exceeded the correct answer by 8/21 . Find the correct answer.
a) 2/3
b) 5/7
c) 7/12
d) 7/15

Answer: c

Question: Divide Rs 53 among X, Y, Z so that X may receive Rs 7 more than Y, and Y may receive Rs 8 more than Z.
a) 10, 15, 18
b) 18, 10, 25
c) 20, 12, 27
d) 25, 18, 10

Answer: b

Question: Divide 48 into two parts such that 7 times the first part added to 5 times the second part is 246. Find the first part.
a) 2
b) 3
c) 4
d) 5

Answer: b

Question: The sum of two digits of a number is 15. If 9 is added to the number, the digits are reversed) The number is—
a) 78
b) 87
c) 69
d) 96

Answer: a

Question: Find the number which when multiplied by 16 is increased by 225.
a) 13
b) 14
c) 15
d) 16

Answer: c

Question: What is the largest number of four digits which is exactly divisible by 88?
a) 9999
b) 9988
c) 9944
d) 9998

Answer: c

Question: If x/y = 3/4 , then the value of 6/7 y - x/y + x = ?
a) 1
b) 2
c) 3
d) 4

Answer: a

Question: The sum of two numbers is 25 and the difference of their square is 75. Find the difference between the numbers.
a) 2
b) 3
c) 4
d) 5

Answer: b

Question: If the number (10ⁿ – 1) is divisible by 11, then n is—
a) odd number
b) even number
c) any number
d) multiple of 11

Answer: b

Question: (1-1/3) (1 -1/4) (1 -1/5)...(1-1/n) = ?
a) 42/29
b) n - 1/n
c) 2/n
d) 0

Answer: c

Question: Ram eats 8 bananas in the morning, 5 in the afternoon and 2 in the evening. How many dozens of bananas does he eat in a day.
a) 1 1/4
b) 1/4
c) 3/13
d) 14 17/30

Answer: a

Question: (2 - 1/3) (2 - 3/5) (2 - 5/7) ... (2 - 997/999) = ?
a) 997/999
b) ∞
c) 997/3
d) 1001/3

Answer: d

Question: If a/b = 4/3 , then 3a + 2b/3a - 2b = ?
a) 2
b) 3
c) 4
d) 5

Answer: b

Question: The sum of a number and its reciprocal is thrice the difference of the number and its reciprocal. Find the number.
a) √2
b) √3
c) √5
d) √7

Answer: a

Question: If a = 16 and b = 15, then what is the value of a2 + b2 + ab/a3 - b3 = ?
a) 1/2
b) 1/3
c) 1
d) 2

Answer: c

Question: What should be added to the product of four consecutive odd numbers to make it a perfect square?
a) 13
b) 14
c) 15
d) 16

Answer: d

Question: If 40% of a number is 360, what will be 15% of 15% of that number?
a) 11.5
b) 20.25
c) 15.5
d) 21.75

Answer: b

Question: 47^7.5 ÷ 473/2 × 47^-3 = d (47)^? What should come in place of the question mark (?) in the following equation?
a) 5
b) 6
c) 7
d) 8

Answer: b

Decimal Fraction CUET General Test MCQs

Question: Which of the following is equivalent to 15/25 ?
a) 150/25
b) 15/250
c) 3/5
d) 60/75

Answer: c

Question: 5/6 of an hour is equal to
a) half an hour
b) 40 minutes
c) 50 minutes
d) 55 minutes

Answer: c

Question: Five times y diminished by 20 is equal to
a) 5y – 20
b) 5y + 20
c) y/4
d) 4y

Answer: a

Question: An aircraft uses 2/5 of its fuel in flying 1,250 kilometres. The distance travelled on remaining fuel is
a) 1875 km
b) 2125 km
c) 250 km
d) 475 km

Answer: a

Question: Which of the following is the largest fraction?
3/15,5/20,8/64,25/1000
a) 3/15
b) 5/20
c) 8/64
d) 25/1000

Answer: b

Question: If 9 ∗ 3/3 ∗ 7 is equivalent to 9/7, the sign * is replaced by
a) ÷
b) ×
c) +
d) –

Answer: b

Question: The number less than 15 by 7 is
a) 15x – 7
b) 15/7
c) 15
d) 8

Answer: d

Question: 2.205 ÷ 0.15 = ?
a) 1.47
b) 14.7
c) 147
d) 0.147

Answer: b

Question: If 21 is add to four times a number, the result is 57.
The number is
a) 7
b) 8
c) 9
d) 10

Answer: c

Question: Six times x increased by 12 is equal to
a) x/2
b) 2x
c) 6x + 12
d) 12x + 6

Answer: c

Question: The sum of 1/9, 1/3, 1/6 and 7/18 of a number is 150.
The number is
a) 120
b) 130
c) 140
d) 150

Answer: d

Question: A number, the sum of whose fourth and fifth parts exceeds their third part by 28, is
a) 120
b) 240
c) 220
d) 160

Answer: b

Question: If 4/3 * 3 4 = 16/9 , then * means
a) +
b) –
c) ×
d) ÷

Answer: d

Question: Which fraction should be added to the sum of 5 3/4, 4 4/5 and 7 3/8 to make the result a whole number?
a) 1/40
b) 2/40
c) 3/40
d) 4/40

Answer: c

Question: The sum of 1/2, 1/4 and 1/8 of a number is 28. The number is
a) 28
b) 32
c) 36
d) 42

Answer: b

Question: Which is the greatest?
.999, .1011, .1995, .9985
a) .999
b) .1011
c) .1995
d) .9985

Answer: a

Question: 1/15 + 3/15 + 5/15 + 6/15 = ?
a) 10/15
b) 3/5
c) 4/5
d) 1

Answer: d

Question: In decimal system, 9 1/8 may be represented as
a) 9.18
b) 9.125
c) 9.025
d) 9.225

Answer: b

Question: A number one-sixth of which exceeds its one-ninth by 100 is
a) 600
b) 900
c) 1500
d) 1800

Answer: d

Question: G. C. M. of .24, 3.2 and 16.0 is
a) 80
b) 8
c) .8
d) 08

Answer: d

Relation Between Numbers CUET General Test MCQs

Question: The value of 51 ÷ 17 ÷ 3 is:
a) 9
b) 4
c) 3
d) 1

Answer: d

Question: If 752 – 652 = 2x, then value of x is:
a) 715
b) 700
c) 688
d) 711

Answer: b

Question: What will be the value of 10 × 10 × 10 ÷ (20 ÷ 10 × 10 – 10) + 6?
a) 108
b) 111
c) 106
d) 114

Answer: c

Question: The value of 28 × 104 ÷ (18 + 6) + 3 is:
a) 124 1/3
b) 104 1/3
c) 125 1/3
d) 128

Answer: a

Question: The value of 99 × 14 ÷ 11 ÷ 0.7 is:
a) 2.9
b) 1.6
c) 1.8
d) 2.8

Answer: c

Question: What will be the value of 40 × 2 ÷ 10 + 5 – 4?
a) 5
b) 8
c) 11
d) 9

Answer: d

Question: The value of 8 1/3 + 5 1/4 × 13 1/5 ÷ 6 3/5 is:
a) 19 1/3
b) 5 18/6
c) 21 1/3
d) 22 1/2

Answer: b

Question: If 45 – [28 – {37 – (15 – ?) }] = 58, then which of the following should replace the sign of interrogation (?)?
a) 18
b) 17
c) 13
d) 19

Answer: d

Question: The value of 14/3 of 5/8 of 72 is:
a) 209
b) 217
c) 210
d) 199

Answer: c

Question: 1150 ÷ 50 ÷ 23 + 15 = ?
a) 16
b) 20
c) 22
d) 18

Answer: a