9th class Math, Chapter 1: Real Numbers MCQs

1. √7 is:

1. (A) integer
2. (B) rational number
3. (C) irrational number ✓
4. (D) natural number

2. π and e are:

1. (A) natural numbers
2. (B) integers
3. (C) rational numbers
4. (D) irrational numbers ✓

3. If n is not a perfect square, then √n is:

1. (A) rational number
2. (B) natural number
3. (C) integer
4. (D) irrational number ✓

4. √3 + √5 is:

1. (A) whole number
2. (B) integer
3. (C) rational number
4. (D) irrational number ✓

5. For all x ∈ R, x = x is called:

1. (A) reflexive property ✓
2. (B) transitive number
3. (C) symmetric property
4. (D) trichotomy property

6. Let a, b, c ∈ R. Then a > b and b > c ⇒ a > c is called ______ property.

1. (A) trichotomy
2. (B) transitive ✓
3. (C) additive
4. (D) multiplicative

7. 2ˣ × 8ˣ = 64, then x =

1. (A) 3/2 ✓
2. (B) 3/4
3. (C) 5/6
4. (D) 2/3

8. Let a, b ∈ R. Then a = b and b = a is called ______ property.

1. (A) reflexive
2. (B) symmetric ✓
3. (C) transitive
4. (D) additive

9. √75 + √27 =

1. (A) √102
2. (B) 9√3
3. (C) 5√3
4. (D) 8√3 ✓

10. The product of (3 + √5)(3 − √5) is:

1. (A) prime number
2. (B) odd number
3. (C) irrational number
4. (D) rational number ✓

11. The set of real numbers is:

1. (A) the set of integers only
2. (B) the union of rational and irrational numbers ✓
3. (C) the set of rational numbers only
4. (D) the intersection of rational and irrational numbers

12. A decimal that is non-terminating and non-recurring represents:

1. (A) an integer
2. (B) a whole number
3. (C) an irrational number ✓
4. (D) a rational number

13. 0.25 is:

1. (A) a non-terminating recurring decimal
2. (B) an irrational number
3. (C) a non-terminating non-recurring decimal
4. (D) a terminating decimal ✓

14. The sum of a rational number and an irrational number is always:

1. (A) rational
2. (B) an integer
3. (C) zero
4. (D) irrational ✓

15. The product of a non-zero rational number and an irrational number is:

1. (A) irrational ✓
2. (B) rational
3. (C) a natural number
4. (D) an integer

16. The additive identity of real numbers is:

1. (A) 1
2. (B) −1
3. (C) a
4. (D) 0 ✓

17. The multiplicative identity of real numbers is:

1. (A) −1
2. (B) a
3. (C) 1 ✓
4. (D) 0

18. Which real number has no multiplicative inverse?

1. (A) 1/2
2. (B) 0 ✓
3. (C) 1
4. (D) −1

19. The property a(b + c) = ab + ac is called:

1. (A) left distributive property ✓
2. (B) right distributive property
3. (C) associative property
4. (D) commutative property

20. a + (−a) = 0 shows the:

1. (A) closure property
2. (B) commutative property
3. (C) additive inverse property ✓
4. (D) additive identity property