SSC CGL HCF and LCM Practice Test 2
15 SSC CGL hcf and lcm questions with chapter-wise explanations and exam-style options.
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SSC CGL HCF and LCM Practice Test 2
15 SSC CGL hcf and lcm questions with chapter-wise explanations and exam-style options.
Preview all 13 questions in SSC CGL HCF and LCM Practice Test 2 (no login required)
- HCF and LCM
1. Which of the following is divisible by 3?
- A. 451
- B. 572
- C. 684 (Correct)
- D. 701
Explanation: 6 + 8 + 4 = 18, which is divisible by 3.
- HCF and LCM
2. How many factors does 49 have?
- A. 2
- B. 3 (Correct)
- C. 4
- D. 5
Explanation: 49 = 7^2, so number of factors = 2 + 1 = 3.
- HCF and LCM
3. Which number is prime?
- A. 39
- B. 51
- C. 53 (Correct)
- D. 57
Explanation: 53 has no positive divisors other than 1 and itself.
- HCF and LCM
4. What is the remainder when 287 is divided by 9?
- A. 5
- B. 6
- C. 7
- D. 8 (Correct)
Explanation: 9 x 31 = 279, so the remainder is 8.
- HCF and LCM
5. LCM of 8 and 14 is:
- A. 28
- B. 42
- C. 56 (Correct)
- D. 112
Explanation: LCM of 8 and 14 is 56.
- HCF and LCM
6. HCF of 45 and 75 is:
- A. 5
- B. 10
- C. 15 (Correct)
- D. 25
Explanation: 15 is the greatest common divisor of 45 and 75.
- HCF and LCM
7. What is the unit digit of 3^5?
- A. 1
- B. 3 (Correct)
- C. 7
- D. 9
Explanation: 3^5 = 243, so the unit digit is 3.
- HCF and LCM
8. The sum of an even number and an odd number is always:
- A. Even
- B. Odd (Correct)
- C. Prime
- D. Zero
Explanation: Even + odd always gives an odd number.
- HCF and LCM
9. If a number leaves remainder 4 when divided by 7, what remainder will twice the number leave when divided by 7?
- A. 1 (Correct)
- B. 2
- C. 4
- D. 6
Explanation: If n ≡ 4 (mod 7), then 2n ≡ 8 ≡ 1 (mod 7).
- HCF and LCM
10. A number divisible by 4 must have its last two digits divisible by:
- A. 2
- B. 4 (Correct)
- C. 8
- D. 10
Explanation: Divisibility by 4 depends on the last two digits being divisible by 4.
- HCF and LCM
11. Which of the following is a perfect cube?
- A. 216 (Correct)
- B. 224
- C. 242
- D. 252
Explanation: 216 = 6^3.
- HCF and LCM
12. The prime factorization of 84 is:
- A. 2^2 x 3 x 7 (Correct)
- B. 2 x 3^2 x 7
- C. 2^3 x 5 x 7
- D. 2^2 x 5 x 7
Explanation: 84 = 2 x 2 x 3 x 7.
- HCF and LCM
13. The unit digit of 9^7 is:
- A. 1
- B. 3
- C. 7
- D. 9 (Correct)
Explanation: Powers of 9 alternate between 9 and 1; odd powers end in 9.