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