Class X Math- Real Numbers - Set 2

Class X Math - Real Numbers (Set 2)

Class X Mathematics – Chapter 1: Real Numbers (Set 2)

1. Which of the following is a rational number?
A. π
B. √3
C. 7/8
D. √5
Answer: C. 7/8
Explanation: A rational number can be written as p/q, where q ≠ 0. 7/8 satisfies this.
2. If the HCF of 18 and 48 is 6, what is their LCM?
A. 144
B. 36
C. 72
D. 48
Answer: C. 144
Explanation: LCM × HCF = Product of numbers → LCM = (18×48)/6 = 144
3. 0.142857142857… is:
A. Irrational
B. Non-terminating repeating
C. Terminating
D. Finite
Answer: B. Non-terminating repeating
Explanation: It has a repeating block and continues infinitely.
4. The number √121 is:
A. Rational
B. Irrational
C. Prime
D. None of these
Answer: A. Rational
Explanation: √121 = 11, which is a whole number and rational.
5. Prime factorization of 90 is:
A. 2 × 3² × 5
B. 3² × 5
C. 2² × 3 × 5
D. 2 × 3 × 5
Answer: A. 2 × 3² × 5
Explanation: 90 = 2 × 3 × 3 × 5 = 2 × 3² × 5
6. Which number is irrational?
A. 5.1
B. √16
C. √7
D. 3.5
Answer: C. √7
Explanation: √7 is non-terminating, non-repeating, and not a perfect square.
7. Which number is divisible by both 2 and 3?
A. 14
B. 18
C. 13
D. 21
Answer: B. 18
Explanation: 18 is divisible by both 2 and 3.
8. Which of the following is not a prime number?
A. 2
B. 3
C. 9
D. 7
Answer: C. 9
Explanation: 9 = 3 × 3, so it's composite, not prime.
9. The least number divisible by 3, 4 and 9 is:
A. 12
B. 36
C. 18
D. 24
Answer: B. 36
Explanation: LCM(3,4,9) = 36 is the smallest number divisible by all three.
10. Which of these has a terminating decimal expansion?
A. 1/6
B. 1/11
C. 1/5
D. 2/7
Answer: C. 1/5
Explanation: 5 is made of prime factors 5 only, so 1/5 terminates.

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