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SSC CGL Number System Verified Practice Test 4

15 structurally validated Number System questions with unique options, mapped answers and explanations.

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SSC CGL Practice Session

SSC CGL Number System Verified Practice Test 4

15 structurally validated Number System questions with unique options, mapped answers and explanations.

Questions
15
Marking
+2 correct, -0.5 wrong
Format
15-question practice session
Preview all 15 questions in SSC CGL Number System Verified Practice Test 4 (no login required)
  1. 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.

  2. 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.

  3. 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.

  4. 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.

  5. 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.

  6. 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.

  7. HCF

    7. HCF of 18 and 24 is:

    • A. 4
    • B. 6 (Correct)
    • C. 8
    • D. 12

    Explanation: 6 is the greatest common factor.

  8. LCM

    8. LCM of 8 and 12 is:

    • A. 24 (Correct)
    • B. 36
    • C. 48
    • D. 96

    Explanation: 24 is the least common multiple.

  9. 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.

  10. 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.

  11. 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.

  12. 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.

  13. Unit Digit

    13. Unit digit of 7^4 is:

    • A. 1 (Correct)
    • B. 3
    • C. 7
    • D. 9

    Explanation: 7^4 ends in 1.

  14. 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.

  15. 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.