Home/
Competitive Exams/
SSC CGL/
Quantitative Aptitude/
HCF and LCM/
Practice Test 7
Live Practice Test

SSC CGL HCF and LCM Practice Test 7

15 SSC CGL hcf and lcm questions with chapter-wise explanations and exam-style options.

Timer-based practiceDetailed answer reviewMobile-friendly flow
SSC CGL Sponsor
High Intent Competitive Exam Traffic

Leaderboard slot above the practice session for revision tools, test series, books, and career products.

SSC CGL Practice Session

SSC CGL HCF and LCM Practice Test 7

15 SSC CGL hcf and lcm questions with chapter-wise explanations and exam-style options.

Questions
14
Marking
+2 correct, -0.5 wrong
Format
15-question ad-supported session
Preview all 14 questions in SSC CGL HCF and LCM Practice Test 7 (no login required)
  1. HCF and LCM

    1. LCM of 12, 18 and 24 is:

    • A. 48
    • B. 60
    • C. 72 (Correct)
    • D. 96

    Explanation: LCM(12,18,24) = 72.

  2. HCF and LCM

    2. HCF of 36, 54 and 90 is:

    • A. 6
    • B. 9
    • C. 12
    • D. 18 (Correct)

    Explanation: 18 divides all three numbers exactly.

  3. HCF and LCM

    3. 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.

  4. HCF and LCM

    4. 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.

  5. HCF and LCM

    5. 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).

  6. HCF and LCM

    6. How many factors does 72 have?

    • A. 9
    • B. 12 (Correct)
    • C. 15
    • D. 18

    Explanation: 72=2^3×3^2, factors=(3+1)(2+1)=12.

  7. HCF and LCM

    7. Product of two numbers is 1080 and their HCF is 6. Their LCM is:

    • A. 180 (Correct)
    • B. 200
    • C. 210
    • D. 220

    Explanation: LCM = Product/HCF = 1080/6 = 180.

  8. HCF and LCM

    8. The largest 4-digit number divisible by 18 is:

    • A. 9990 (Correct)
    • B. 9972
    • C. 9981
    • D. 9999

    Explanation: 9990 ÷ 18 = 555 exactly.

  9. HCF and LCM

    9. Find the remainder when 99! is divided by 100.

    • A. 0 (Correct)
    • B. 1
    • C. 25
    • D. 50

    Explanation: Since 99! contains both 4 and 25 as factors, it is divisible by 100.

  10. HCF and LCM

    10. Unit digit of 3^47 is:

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

    Explanation: Powers of 3 cycle as 3, 9, 7, 1. Since 47 leaves remainder 3 when divided by 4, the unit digit is 7.

  11. HCF and LCM

    11. Three bells ring at intervals of 6, 8, and 12 minutes. If they ring together at 8:00 AM, when will they ring together again?

    • A. 8:24 AM (Correct)
    • B. 8:30 AM
    • C. 8:36 AM
    • D. 8:48 AM

    Explanation: LCM(6,8,12)=24 minutes. They ring together at 8:24 AM.

  12. HCF and LCM

    12. A number when divided by 5 gives remainder 3 and divided by 7 gives remainder 4. Which of these fits?

    • A. 18
    • B. 28
    • C. 53 (Correct)
    • D. 39

    Explanation: 53÷5=10 rem 3, 53÷7=7 rem 4. Both conditions satisfied.

  13. HCF and LCM

    13. Find the number of zeros at the end of 50!.

    • A. 10
    • B. 12 (Correct)
    • C. 13
    • D. 15

    Explanation: Zeros = ⌊50/5⌋+⌊50/25⌋ = 10+2 = 12.

  14. HCF and LCM

    14. Which is the smallest number divisible by both 8 and 12?

    • A. 16
    • B. 24 (Correct)
    • C. 36
    • D. 48

    Explanation: LCM(8,12) = 24.