SSC CGL Number System Verified Practice Test 5
15 structurally validated Number System questions with unique options, mapped answers and explanations.
SSC CGL Number System Verified Practice Test 5
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 5 (no login required)
- HCF
1. HCF of 16 and 24 is:
- A. 4
- B. 6
- C. 8 (Correct)
- D. 12
Explanation: 8 is the greatest common factor.
- Divisibility
2. Which number is divisible by 3?
- A. 124
- B. 135 (Correct)
- C. 142
- D. 151
Explanation: The sum of digits is 9, so it is divisible by 3.
- Remainder
3. Remainder when 389 is divided by 8 is:
- A. 3
- B. 4
- C. 5 (Correct)
- D. 6
Explanation: 389 = 8 x 48 + 5.
- Factors
4. Number of factors of 49 is:
- A. 2
- B. 3 (Correct)
- C. 4
- D. 5
Explanation: 49 has factors 1, 7, and 49.
- Divisibility
5. The smallest number to be added to 998 to make it divisible by 11 is:
- A. 2
- B. 3 (Correct)
- C. 4
- D. 5
Explanation: 998 leaves remainder 8 on division by 11, so 3 more makes it divisible.
- LCM-HCF
6. If HCF of two numbers is 5 and LCM is 300, and one number is 25, the other is:
- A. 50
- B. 60 (Correct)
- C. 75
- D. 90
Explanation: Other number = (5 x 300) / 25 = 60.
- Unit Digit
7. The unit digit of 3^4 is:
- A. 1 (Correct)
- B. 3
- C. 7
- D. 9
Explanation: 3^4 = 81, so the unit digit is 1.
- Natural Numbers
8. Sum of first 20 natural numbers is:
- A. 190
- B. 200
- C. 210 (Correct)
- D. 220
Explanation: n(n+1)/2 = 20 x 21 / 2 = 210.
- Fraction Comparison
9. Which is greatest?
- A. 2/3 (Correct)
- B. 3/5
- C. 5/8
- D. 7/12
Explanation: 2/3 is approximately 0.667, the greatest here.
- Remainder
10. Remainder when 5^2 is divided by 3 is:
- A. 0
- B. 1 (Correct)
- C. 2
- D. 3
Explanation: 25 leaves remainder 1 on division by 3.
- LCM
11. LCM of 12, 18 and 24 is:
- A. 48
- B. 60
- C. 72 (Correct)
- D. 96
Explanation: LCM(12,18,24) = 72.
- HCF
12. HCF of 36, 54 and 90 is:
- A. 6
- B. 9
- C. 12
- D. 18 (Correct)
Explanation: 18 divides all three numbers exactly.
- Divisibility
13. Which of the following is divisible by 11?
- A. 121
- B. 132
- C. 143
- D. All of these (Correct)
Explanation: 121=11×11, 132=11×12, 143=11×13.
- Unit Digit
14. Unit digit of 7^52 is:
- A. 1 (Correct)
- B. 3
- C. 7
- D. 9
Explanation: Powers of 7 cycle: 7,9,3,1 (period 4). 52÷4=13 remainder 0, so unit digit is 1.
- Remainder
15. What is the remainder when 2^10 is divided by 7?
- A. 1
- B. 2 (Correct)
- C. 3
- D. 4
Explanation: 2^3=8≡1(mod7), so 2^9≡1(mod7), then 2^10≡2(mod7).