Class X Math- Real Numbers- Set 5

Class X Math - Real Numbers (Set 5)

Class X Mathematics – Chapter 1: Real Numbers (Set 5)

1. The value of 2⁴ × 2³ is:
A. 128
B. 16
C. 64
D. 256
Answer: A. 128
Explanation: 2⁴ × 2³ = 2⁷ = 128
2. Which of the following cannot be the HCF of two numbers?
A. 1
B. 2
C. 4
D. 9
Answer: D. 9
Explanation: HCF must divide both numbers. If no pair of integers have 9 as a common factor, it can't be their HCF.
3. If p is a prime number, then √p is:
A. Rational
B. Integer
C. Irrational
D. Whole number
Answer: C. Irrational
Explanation: The square root of any prime number is irrational.
4. The product of HCF and LCM of two numbers is equal to:
A. Their sum
B. The larger number
C. Their product
D. None
Answer: C. Their product
Explanation: HCF × LCM = First Number × Second Number
5. Which number has only two factors: 1 and itself?
A. Composite
B. Prime
C. Even
D. Rational
Answer: B. Prime
Explanation: Prime numbers are divisible only by 1 and itself.
6. The smallest positive rational number is:
A. 0
B. 1
C. 1/∞
D. Cannot be determined
Answer: D. Cannot be determined
Explanation: Between 0 and any positive number, infinite rational numbers exist.
7. The number 0.111... is:
A. Rational
B. Irrational
C. Terminating
D. Real but not rational
Answer: A. Rational
Explanation: It is 1/9, a repeating decimal that is rational.
8. The number 1.41421356… (non-terminating, non-repeating) is:
A. Rational
B. Irrational
C. Real
D. Both B and C
Answer: D. Both B and C
Explanation: Non-terminating, non-repeating decimals are irrational and all irrational numbers are real.
9. Which of the following is a factor of every integer?
A. 1
B. 0
C. 2
D. None of these
Answer: A. 1
Explanation: 1 divides all integers.
10. 1.732 is approximately equal to:
A. √2
B. √3
C. π
D. √5
Answer: B. √3
Explanation: √3 ≈ 1.732

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