Lecturer Mathematics BPSC – (BPS-17)

Quiz

1. Which property ensures that (a + b) + c = a + (b + c)?
A. Commutative
B. Associative
C. Distributive
D. Closure

2. The multiplicative identity in ℝ is defined as:
A. 0
B. −1
C. 1
D. Any number

3. Which of the following shows closure under multiplication?
A. a − b ∈ ℝ
B. ab ∈ ℝ
C. a/b ∈ ℝ
D. a + b ∈ ℝ

4. The additive inverse of a is:
A. a
B. 1/a
C. −a
D. 0

5. Which property states a(b + c) = ab + ac?
A. Commutative
B. Associative
C. Distributive
D. Identity

6. If ab = 0, then:
A. Both a and b are zero
B. At least one of a or b is zero
C. a ≠ 0
D. b ≠ 0

7. The expression a/b is equivalent to:
A. a + b
B. a − b
C. a · b⁻¹
D. b · a⁻¹

8. If a ≠ 0 and ab = ac, then:
A. b = a
B. c = a
C. b = c
D. a = 0

9. Which of the following is always true?
A. a + 0 = 0
B. a × 0 = a
C. a × 0 = 0
D. a + 1 = a

10. The multiplicative inverse exists for:
A. All real numbers
B. Only positive numbers
C. All nonzero real numbers
D. Only integers

1-B, 2-C, 3-B, 4-C, 5-C, 6-B, 7-C, 8-C, 9-C, 10-C