CUET General Test: Quantitative ReasoningNumber System. Free, no login required.

Q4:

2025: 16 May Shift 1

Number System

Medium

If m and n are distinct natural numbers, then which of the following is/are integer(s)?

(A) m/n+n/mm/n + n/m

(B) mn(m/n+n/m)(m2+n2)−1mn(m/n+n/m)(m^2 + n^2)^{-1}

(C) mn/(m2+n2)mn/(m^2 + n^2)

Choose the correct answer from the options given below:

Answer options
Option 2
Correct Answer
Explanation for 2025: 16 May Shift 1 GET question 4

Q6:

2025: 15 May Shift 1

Number System

Medium

Which of the following is/are prime numbers?

(A) 241

(B) 337

(C) 391

(D) 571

Choose the correct answer from the options given below:

Answer options
Option 4
Correct Answer
Explanation for 2025: 15 May Shift 1 GET question 6

Q7:

2025: 14 May Shift 2

Number System

Medium

Consider the following statements

(A) To obtain prime numbers less than 121, we have to reject all the multiples of 2, 3, 5 and 7.

(B) Every composite number less than 121 is divisible by a prime number less than 11.

(C) 173 is not a prime number.

(D) 7710312401 is divisible by 11.

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

Choose the correct answer from the options given below:

Answer options
Option 1
Correct Answer
Explanation for 2025: 14 May Shift 2 GET question 7

Q8:

2025: 14 May Shift 1

Number System

Medium

Consider the following statements

(A) The difference between the place values of 9 and 5 in the number 639457 is 4.

(B) The number π is an irrational number.

(C) The sum of all the prime numbers from 1 to 20 is 67.

(D) The difference between the face values of 5 and 3 in number 475839 is 2.

Choose the correct answer from the options given below:

Answer options
Option 4
Correct Answer
Explanation for 2025: 14 May Shift 1 GET question 8

Q11:

2024

Number System

Easy

Simplify 24÷4×2+8−4=24 ÷ 4 × 2 + 8 - 4 = ?

Answer options
Option 3
Correct Answer
Explanation for 2024 GET question 11

Q12:

2024

Number System

Easy

The difference of the greatest and the smallest of the fractions 12\frac{1}{2}, 811\frac{8}{11}, 78\frac{7}{8}, 79\frac{7}{9}, 56\frac{5}{6} is:

Answer options
Option 1
Correct Answer
Explanation for 2024 GET question 12

Q13:

2024

Number System

Medium

The sum of LCM and HCF of two numbers is 854. If the LCM is 60 times the HCF and one of the numbers is 70, then the other number is:

Answer options
Option 3
Correct Answer
Explanation for 2024 GET question 13

Q14:

2023: 19 June Shift 1

Number System

Easy

The unit digit in the product (784×618×917×463)(784 \times 618 \times 917 \times 463) is :

Answer options

Q16:

2023: 11 June Shift 2

Number System

Easy

Which fraction among 23\frac{2}{3}, 45\frac{4}{5}, 711\frac{7}{11}, 13\frac{1}{3} is largest?

Answer options

Q19:

2023: 5 June Shift 2

Number System

Medium

Simplify : 2×[4−{2−(2−3)−(2+3)}−1]−5×[−3−(3−2)]2 \times [4 - \{2 - (2-3) - (2+3)\} - 1] - 5 \times [-3 - (3-2)]

Answer options

Q20:

2023: 5 June Shift 2

Number System

Medium

Find the length of the longest rod which can be used to measure exactly the lengths 5 m 13 cm, 11 m 34 cm and 12 m 15 cm.

Answer options

Q21:

2023: 1 June Shift 1

Number System

Easy

Which of the following is correct for divisibility?

(1) A number is divisible by 6 if it is divisible by 3 or 2.

(2) A number is divisible by 5 if its unit digit is 0 or 5.

(3) A number is divisible by 3 if its unit digit is divisible by 3.

(4) A number is divisible by 4 if the number formed by its last two digits is divisible by 4.

Choose the correct answer from the options given below:

Answer options

Q22:

2023: 30 May Shift 3

Number System

Easy

The ascending order of the numbers 0.8, 0.88, 0.808, 0.08 is

Answer options

Q23:

2023: 30 May Shift 3

Number System

Medium

Find the value of 6+6+6+6+…\sqrt{6 + \sqrt{6 + \sqrt{6 + \sqrt{6 + \ldots}}}}.

Answer options

Q25:

2023: 24 May Shift 3

Number System

Easy

Given below are two statements:

Statement (I): All natural numbers are rational numbers.

Statement (II): 1 is the smallest prime number.

In the light of the above statements, choose the most appropriate answer from the options given below:

Answer options

Q26:

2023: 24 May Shift 3

Number System

Medium

The value of (625)−3/4(625)^{-3/4} is:

Answer options

Q29:

2022: 6 Oct Shift 1

Number System

Medium

The value of (2⋅7)3−(2⋅2)3(2⋅7)2+2⋅7×2⋅2+(2⋅2)2\frac{(2 \cdot 7)^3 - (2 \cdot 2)^3}{(2 \cdot 7)^2 + 2 \cdot 7 \times 2 \cdot 2 + (2 \cdot 2)^2} is

Answer options
Option 2
Correct Answer
Explanation for 2022: 6 Oct Shift 1 GET question 29

Q30:

2022: 26 Aug Shift 1

Number System

Medium

Let A be the greatest number that will divide 505, 555 and 605, leaving the same remainder in each case. Then sum of the digits in a is:

Answer options