SSC CGL Number System Verified Practice Test 2
15 structurally validated Number System questions with unique options, mapped answers and explanations.
SSC CGL Number System Verified Practice Test 2
15 structurally validated Number System questions with unique options, mapped answers and explanations.
Preview all 15 questions in SSC CGL Number System Verified Practice Test 2 (no login required)
- Factors
1. 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.
- Prime Numbers
2. Which number is prime?
- A. 39
- B. 51
- C. 53 (Correct)
- D. 57
Explanation: 53 has no positive divisors other than 1 and itself.
- Remainders
3. 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.
- LCM
4. LCM of 8 and 14 is:
- A. 28
- B. 42
- C. 56 (Correct)
- D. 112
Explanation: LCM of 8 and 14 is 56.
- HCF
5. 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.
- Unit Digit
6. 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.
- Even and Odd
7. 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.
- Remainders
8. 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).
- Divisibility
9. 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.
- Prime Factorization
10. 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.
- Unit Digit
11. 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.
- Divisibility
12. Which number is divisible by 11?
- A. 121 (Correct)
- B. 123
- C. 125
- D. 127
Explanation: 121 is divisible by 11 exactly.
- Factors
13. 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.
- Prime Numbers
14. Which is a prime number?
- A. 57
- B. 59 (Correct)
- C. 63
- D. 69
Explanation: 59 has no divisors other than 1 and itself.
- Remainders
15. 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.