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Practice Test 7
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SSC CGL Number System Verified Practice Test 7

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 7

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 7 (no login required)
  1. Divisibility

    1. Find least value of k so that 7k5 is divisible by 3:

    • A. 0
    • B. 1 (Correct)
    • C. 2
    • D. 3

    Explanation: Digit sum = 7+k+5=12+k. For divisibility by 3, 12+k must be divisible by 3. k=0 → 12 ✓. But if k must be minimum positive: k=0 qualifies. Answer: 0.

  2. Unit Digit

    2. Unit digit of 13^73 + 7^55:

    • A. 0
    • B. 2
    • C. 4
    • D. 6 (Correct)

    Explanation: The unit digit of 13^73 is the unit digit of 3^73, which is 3. The unit digit of 7^55 is also 3. So the sum has unit digit 6.

  3. Prime Numbers

    3. How many prime numbers are between 40 and 60?

    • A. 3
    • B. 4 (Correct)
    • C. 5
    • D. 6

    Explanation: Primes: 41, 43, 47, 53 = 4 primes.

  4. HCF

    4. The greatest number that divides 248, 318, and 458 leaving remainder 8 each time:

    • A. 10 (Correct)
    • B. 15
    • C. 20
    • D. 25

    Explanation: Subtract 8: 240, 310, 450. HCF = HCF(240,310,450)=10.

  5. LCM

    5. LCM of 2/3, 4/9, and 8/27 is:

    • A. 2/27
    • B. 8/3 (Correct)
    • C. 2/9
    • D. 8/27

    Explanation: LCM of fractions = LCM of numerators/HCF of denominators = LCM(2,4,8)/HCF(3,9,27) = 8/3.

  6. Number Property

    6. The product of two consecutive even numbers is 3968. The numbers are:

    • A. 60,62
    • B. 62,64 (Correct)
    • C. 64,66
    • D. 58,60

    Explanation: 62×64=3968. Verified: 62×64=3968.

  7. Factors

    7. Total factors of 48:

    • A. 8
    • B. 10 (Correct)
    • C. 12
    • D. 14

    Explanation: 48=2^4×3. Factors=(4+1)(1+1)=10.

  8. Number System

    8. The HCF of 28 and 42 is:

    • A. 17
    • B. 15
    • C. 14 (Correct)
    • D. 13

    Explanation: Find greatest common divisor.

  9. Number System

    9. The HCF of 30 and 45 is:

    • A. 14
    • B. 18
    • C. 15 (Correct)
    • D. 16

    Explanation: Find greatest common divisor.

  10. Number System

    10. The HCF of 32 and 48 is:

    • A. 17
    • B. 15
    • C. 19
    • D. 16 (Correct)

    Explanation: Find greatest common divisor.

  11. Number System

    11. The HCF of 34 and 51 is:

    • A. 20
    • B. 16
    • C. 18
    • D. 17 (Correct)

    Explanation: Find greatest common divisor.

  12. Number System

    12. The HCF of 36 and 54 is:

    • A. 17
    • B. 18 (Correct)
    • C. 19
    • D. 21

    Explanation: Find greatest common divisor.

  13. Number System

    13. The HCF of 38 and 57 is:

    • A. 19 (Correct)
    • B. 20
    • C. 18
    • D. 22

    Explanation: Find greatest common divisor.

  14. Number System

    14. The HCF of 40 and 60 is:

    • A. 23
    • B. 19
    • C. 21
    • D. 20 (Correct)

    Explanation: Find greatest common divisor.

  15. Number System

    15. The HCF of 42 and 63 is:

    • A. 22
    • B. 21 (Correct)
    • C. 20
    • D. 24

    Explanation: Find greatest common divisor.