SSC CGL Divisibility and Remainders Practice Test 3
15 SSC CGL divisibility and remainders questions with chapter-wise explanations and exam-style options.
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SSC CGL Divisibility and Remainders Practice Test 3
15 SSC CGL divisibility and remainders questions with chapter-wise explanations and exam-style options.
Preview all 12 questions in SSC CGL Divisibility and Remainders Practice Test 3 (no login required)
- Divisibility and Remainders
1. Which number is divisible by 11?
- A. 121 (Correct)
- B. 123
- C. 125
- D. 127
Explanation: 121 is divisible by 11 exactly.
- Divisibility and Remainders
2. How many factors does 64 have?
- A. 6
- B. 7 (Correct)
- C. 8
- D. 9
Explanation: 64 = 2^6, so number of factors = 6 + 1 = 7.
- Divisibility and Remainders
3. Which is a prime number?
- A. 57
- B. 59 (Correct)
- C. 63
- D. 69
Explanation: 59 has no divisors other than 1 and itself.
- Divisibility and Remainders
4. Remainder when 523 is divided by 8 is:
- A. 1
- B. 2
- C. 3 (Correct)
- D. 4
Explanation: 8 x 65 = 520, so remainder = 3.
- Divisibility and Remainders
5. LCM of 9 and 12 is:
- A. 18
- B. 24
- C. 36 (Correct)
- D. 72
Explanation: LCM of 9 and 12 is 36.
- Divisibility and Remainders
6. HCF of 56 and 72 is:
- A. 4
- B. 6
- C. 8 (Correct)
- D. 12
Explanation: 8 is the greatest common divisor of 56 and 72.
- Divisibility and Remainders
7. The unit digit of 2^9 is:
- A. 2 (Correct)
- B. 4
- C. 6
- D. 8
Explanation: Powers of 2 repeat 2, 4, 8, 6. 9 mod 4 = 1, so unit digit is 2.
- Divisibility and Remainders
8. Odd + odd is always:
- A. Even (Correct)
- B. Odd
- C. Prime
- D. Composite
Explanation: Sum of two odd numbers is always even.
- Divisibility and Remainders
9. If a number leaves remainder 3 when divided by 5, what remainder will its square leave when divided by 5?
- A. 1
- B. 2
- C. 3
- D. 4 (Correct)
Explanation: If n ≡ 3 (mod 5), then n^2 ≡ 9 ≡ 4 (mod 5).
- Divisibility and Remainders
10. A number divisible by 8 must have its last three digits divisible by:
- A. 2
- B. 4
- C. 8 (Correct)
- D. 16
Explanation: Divisibility by 8 depends on the last three digits.
- Divisibility and Remainders
11. Prime factorization of 90 is:
- A. 2 x 3^2 x 5 (Correct)
- B. 2^2 x 3 x 5
- C. 3^2 x 5^2
- D. 2 x 3 x 5^2
Explanation: 90 = 2 x 3 x 3 x 5.
- Divisibility and Remainders
12. The unit digit of 4^8 is:
- A. 2
- B. 4
- C. 6 (Correct)
- D. 8
Explanation: Powers of 4 alternate between 4 and 6; even powers end in 6.