CUET General Test - Quantitative Reasoning - Number System | Free Questions

Q1:

2026: 6 June Shift 1

Quantitative Reasoning

>

Number System

Easy

Which of the following numbers is divisible by 11?

4832718

4823718

8423718

8432718

Correct Answer

Option 1

Correct Answer

Explanation

Q2:

2026: 31 May Shift 2

Quantitative Reasoning

>

Number System

Easy

In number system √2 is:

Rational number

Irrational number

Whole number

Complex number

Correct Answer

Option 2

Correct Answer

Explanation

Q3:

2026: 31 May Shift 1

Quantitative Reasoning

>

Number System

Medium

Match the LIST-I with LIST-II

LIST-I (Number)	LIST-II (Unit digit of the number)
A. $4^{425}$	I. 6
B. $4^{1024}$	II. 4
C. $133^{63} \times 4^{49}$	III. 3
D. $3^{81}$	IV. 8

Choose the correct answer from the options given below:

A-I, B-II, C-III, D-IV

A-II, B-I, C-IV, D-III

A-I, B-II, C-IV, D-III

A-II, B-I, C-III, D-IV

Correct Answer

Option 2

Correct Answer

Explanation

Q4:

2026: 30 May Shift 2

Quantitative Reasoning

>

Number System

Medium

If $7^{126}$ is divided by 48, find the remainder.

1

2

3

4

Correct Answer

Option 1

Correct Answer

Explanation

Q5:

2026: 30 May Shift 1

Quantitative Reasoning

>

Number System

Easy

Consider the following statements:

I. If a and b are composite numbers, then a + b is always composite.

II. Zero is a natural number but not a whole number.

Which of the above statements is/are correct from the options given below:

I only

II only

Both I and II

Neither I nor II

Correct Answer

Option 4

Correct Answer

Explanation

Q6:

2026: 29 May Shift 2

Quantitative Reasoning

>

Number System

Easy

Find the sum of the first n positive integers.

$\dfrac{n}{2}$

$\dfrac{(n+1)}{2}$

$\dfrac{n(n+1)}{2}$

$\dfrac{(n+1)(n+2)}{2}$

Correct Answer

Option 3

Correct Answer

Explanation

Q7:

2026: 29 May Shift 2

Quantitative Reasoning

>

Number System

Easy

Which of the numbers given below is divisible by 15?

2365

1375

4365

2275

Correct Answer

Option 3

Correct Answer

Explanation

Q8:

2026: 26 May Shift 1

Quantitative Reasoning

>

Number System

Easy

Find the number which is nearest to 3105 and is exactly divisible by 21.

3107

3108

3106

3109

Correct Answer

Option 2

Correct Answer

Explanation

Q9:

2026: 25 May Shift 2

Quantitative Reasoning

>

Number System

Easy

In a number system $\sqrt{3}$ is:

Complex number

Irrational number

Rational number

Whole number

Correct Answer

Option 2

Correct Answer

Explanation

Q10:

2026: 25 May Shift 1

Quantitative Reasoning

>

Number System

Medium

The sum of the perfect squares between 120 and 300 is .

1204

1024

1296

1400

Correct Answer

Option 4

Correct Answer

Explanation

Q11:

2026: 24 May Shift 1

Quantitative Reasoning

>

Number System

Easy

Which of the following statements is/are correct about irrational numbers?

(A) The sum of two rational numbers is always irrational.

(B) $\pi$ is an irrational number.

(C) The value of $\sqrt{49}$ is an irrational number.

(D) The value of $\sqrt{5}$ is an irrational number.

Choose the correct answer from the options given below:

(A),(B) and (C) only

(A), (B) and (D) only

(A), (B), (C) and (D)

(B) and (D) only

Correct Answer

Option 4

Correct Answer

Explanation

Q12:

2026: 22 May Shift 2

Quantitative Reasoning

>

Number System

Medium

Match List-I with List-II

List-I (Statements/Expressions etc.)	List-II (Values, etc.)
(A) Find the sum of the first 20 odd natural numbers.	(I) 285
(B) How many prime numbers are there between 100 and 200?	(II) 0
(C) Find the sum of the squares of the digits from 1 to 9.	(III) 400
(D) Find the unit's digit in the product $81 \times 82 \times 83 \times ... ... ... \times 89$ ?	(IV) 21

Choose the correct answer from the options given below:

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (II), (B) - (III), (C) - (IV), (D) - (I)

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

(A) - (IV), (B) - (I), (C) - (II), (D) - (III)

Correct Answer

Option 3

Correct Answer

Explanation

Q13:

2026: 22 May Shift 2

Quantitative Reasoning

>

Number System

Medium

Find the missing number:

32

36

16

48

Correct Answer

Option 2

Correct Answer

Explanation

Q14:

2026: 21 May Shift 2

Quantitative Reasoning

>

Number System

Easy

In number system 3√2, is?

Rational number

Irrational number

Natural number

Whole number

Correct Answer

Option 2

Correct Answer

Explanation

Q15:

2026: 21 May Shift 1

Quantitative Reasoning

>

Number System

Easy

Select the number which when added to itself 13 times, gives 112.

7

8

11

9

Correct Answer

Option 2

Correct Answer

Explanation

Q16:

2026: 21 May Shift 1

Quantitative Reasoning

>

Number System

Easy

How many numbers between 11 and 90 are divisible by 7 ?

11

12

10

13

Correct Answer

Option 1

Correct Answer

Explanation

Q17:

2026: 21 May Shift 1

Quantitative Reasoning

>

Number System

Easy

If I write down all the numbers from 1 to 100, then how many times I have written the digit 3 ?

20

11

18

21

Correct Answer

Option 1

Correct Answer

Explanation

Q18:

2026: 20 May Shift 2

Quantitative Reasoning

>

Number System

Hard

Match the LIST-I with LIST-II

LIST-I (For given Euclidean Algorithm, a = bq + r, Where a & b are real)	LIST-II Values of q and r
A. a = -112, b = -7	I. q = -13, r = 1
B. a = 118, b = -9	II. q = 14, r = 3
C. a = -109, b = 6	III. q = -19, r = 5
D. a = 115, b = 8	IV. q = 16, r = 0

Choose the correct answer from the options given below:

A-III, B-I, C-IV, D-II

A-III, B-II, C-IV, D-I

A-IV, B-I, C-III, D-II

A-IV, B-II, C-III, D-I

Correct Answer

Option 3

Correct Answer

Explanation

Q19:

2026: 20 May Shift 1

Quantitative Reasoning

>

Number System

Easy

Match List-I with List-II

List-I	List-II
(A) The number $\pi$ is a/an	(I) whole number
(B) 0 is a/an	(II) complex number
(C) $\sqrt{-1}$ is a/an	(III) composite number
(D) 6 is a/an	(IV) irrational number

Choose the correct answer from the options given below:

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (IV), (B) - (I), (C) - (II), (D) - (III)

(A) - (IV), (B) - (II), (C) - (I), (D) - (III)

(A) - (IV), (B) - (III), (C) - (II), (D) - (I)

Correct Answer

Option 2

Correct Answer

Explanation

Q20:

2026: 19 May Shift 2

Quantitative Reasoning

>

Number System

Medium

Which one of the following statements is/are true?

A. 48713280 is divisible by 11

B. 59761543 is not divisible by 3

C. 342221319 is divisible by 99

D. 10050432 is not divisible by 8

Choose the correct answer from the options given below:

A, B and C only

A, B and D only

A, B, C D

B, C and D only

Correct Answer

Option 1

Correct Answer

Explanation

Q21:

2026: 19 May Shift 1

Quantitative Reasoning

>

Number System

Medium

Consider the following statements:

I. If x and y are composite numbers, then x+y is always composite.

II. There does not exist a natural number which is neither prime nor composite.

Which of the above statements is/are correct?

I only

II only

Both I and II

Neither I nor II

Correct Answer

Option 4

Correct Answer

Explanation

Q22:

2026: 18 May Shift 2

Quantitative Reasoning

>

Number System

Easy

Which one of the following statements is/are false?

A. Every whole number is a natural number.

B. Every integer is a rational number.

C. Every rational number is an integer

D. Every integer is a whole number.

Choose the correct answer from the options given below:

A, B and D only

A, C and D only

A, B, C and D

B, C and D only

Correct Answer

Option 2

Correct Answer

Explanation

Q23:

2026: 18 May Shift 1

Quantitative Reasoning

>

Number System

Easy

Which of the following numbers is both a perfect square and a perfect cube?

64

72

128

200

Correct Answer

Option 1

Correct Answer

Explanation

Q24:

2026: 14 May Shift 2

Quantitative Reasoning

>

Number System

Easy

The difference between the two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the reminder is 15. Find the smallest number?

210

250

270

290

Correct Answer

Option 3

Correct Answer

Explanation

Q25:

2026: 14 May Shift 1

Quantitative Reasoning

>

Number System

Medium

Which one is correct

A. $\sqrt{3}$ is irrational

B. Sum of two irrational number is always irrational

C. $\sqrt{p}$ , where $p$ is prime, is irrational

D. Every composite number can be expressed as a product of primes

Choose the correct answer from the options given below:

A, C and D only

A, B and D only

C, B and D only

A and D only

Correct Answer

Option 1

Correct Answer

Explanation

Q26:

2026: 12 May Shift 2

Quantitative Reasoning

>

Number System

Medium

Select the missing number from given options.

12	7	95
14	8	132
16	9	?

175

168

194

144

Correct Answer

Option 1

Correct Answer

Explanation

Q27:

2026: 12 May Shift 2

Quantitative Reasoning

>

Number System

Easy

Which of the following lists of numbers is/are an Arithmetic Progression?

(A) 2, 8, 14, 20,........

(B) 0, 4, 8, 12,........

(C) 6, 12, 18, 24,........

(D) 21, 17,15,........

Choose the correct answer from the options given below:

(A), (B) and (C) only

(A), (B) and (D) only

(B), (C) and (D) only

(A), (B), (C) and (D)

Correct Answer

Option 1

Correct Answer

Explanation

Q28:

2026: 12 May Shift 2

Quantitative Reasoning

>

Number System

Easy

The sum of the natural numbers which are divisors of 100, is:

115

217

312

436

Correct Answer

Option 2

Correct Answer

Explanation

Q29:

2026: 12 May Shift 1

Quantitative Reasoning

>

Number System

Medium

If a and b are positive real numbers. Match List-I with List-II

List-I	List-II
Identities	Relation
(A) $(\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})$	(I) $=a-b$
(B) $(a+\sqrt{b})(a-\sqrt{b})$	(II) $=a^2-b$
(C) $(\sqrt{a}+\sqrt{b})^2$	(III) $=a-b^2$
(D) $(\sqrt{a})^2-(\sqrt{b})^4$	(IV) $=a+2\sqrt{ab}+b$

Choose the correct answer from the options given below:

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (II), (B) - (I), (C) - (III), (D) - (IV)

(A) - (I), (B) - (II), (C) - (IV), (D) - (III)

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

Correct Answer

Option 3

Correct Answer

Explanation

Q30:

2026: 12 May Shift 1

Quantitative Reasoning

>

Number System

Medium

If a - b = 4, b - c = 6 and a - c = 10, then the value of $a^2 + b^2 + c^2 - ab - bc - ca$ is:

52

62

71

76

Correct Answer

Option 4

Correct Answer

Explanation

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