SSC CGL Number System Verified Practice Test 4
15 structurally validated Number System questions with unique options, mapped answers and explanations.
SSC CGL Number System Verified Practice Test 4
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 4 (no login required)
- Consecutive Numbers
1. The sum of three consecutive even numbers is 54. The middle number is:
- A. 16
- B. 18 (Correct)
- C. 20
- D. 22
Explanation: Let them be x-2, x, x+2. Their sum is 3x = 54, so x = 18.
- Divisibility
2. A number divisible by both 3 and 4 must be divisible by:
- A. 6
- B. 7
- C. 8
- D. 12 (Correct)
Explanation: LCM of 3 and 4 is 12.
- Fractions to Number System
3. Which fraction is the greatest?
- A. 3/5
- B. 5/8 (Correct)
- C. 7/12
- D. 11/20
Explanation: 3/5 = 0.6, 5/8 = 0.625, 7/12 is about 0.583, and 11/20 = 0.55.
- Natural Numbers
4. The smallest natural number is generally taken as:
- A. 0
- B. 1 (Correct)
- C. -1
- D. 2
Explanation: In standard school arithmetic, natural numbers begin at 1.
- Base Value
5. If the base of a numeral system increases, the number of symbols needed for one place value becomes:
- A. Less
- B. More (Correct)
- C. Zero
- D. Fixed at 10
Explanation: A larger base uses more distinct symbols before the next place value is needed.
- Divisibility
6. Which number is divisible by 9?
- A. 234
- B. 243 (Correct)
- C. 254
- D. 262
Explanation: Sum of digits of 243 is 9.
- HCF
7. HCF of 18 and 24 is:
- A. 4
- B. 6 (Correct)
- C. 8
- D. 12
Explanation: 6 is the greatest common factor.
- LCM
8. LCM of 8 and 12 is:
- A. 24 (Correct)
- B. 36
- C. 48
- D. 96
Explanation: 24 is the least common multiple.
- Remainder
9. When 257 is divided by 7, the remainder is:
- A. 3
- B. 4
- C. 5 (Correct)
- D. 6
Explanation: 257 = 7 x 36 + 5.
- Even-Odd
10. An odd number multiplied by an even number is always:
- A. odd
- B. even (Correct)
- C. prime
- D. composite
Explanation: Any product with an even factor is even.
- Divisibility
11. The smallest number to be added to 999 to make it divisible by 11 is:
- A. 1
- B. 2 (Correct)
- C. 3
- D. 4
Explanation: 999 leaves remainder 9 when divided by 11.
- LCM-HCF
12. If HCF of two numbers is 6 and LCM is 180, and one number is 30, the other is:
- A. 24
- B. 30
- C. 36 (Correct)
- D. 42
Explanation: Other number = (6 x 180)/30 = 36.
- Unit Digit
13. Unit digit of 7^4 is:
- A. 1 (Correct)
- B. 3
- C. 7
- D. 9
Explanation: 7^4 ends in 1.
- Natural Numbers
14. Sum of first 10 natural numbers is:
- A. 45
- B. 50
- C. 55 (Correct)
- D. 60
Explanation: n(n+1)/2 = 55.
- Remainder
15. The remainder when 2^5 is divided by 3 is:
- A. 0
- B. 1
- C. 2 (Correct)
- D. 3
Explanation: 2^5 = 32 and 32 leaves remainder 2.