CET HCF and LCM Questions with Solutions – Page 3

All 24 HCF and LCM questions from MBA CET 2025 and 2026 papers. Tap Show answer, or open the detailed solution (free login). Page 3 of 5.

CET 2025 Slot 1 · Q131Medium
The least common multiple of a number and 990 is 6930. The greatest common divisor of that number and 550 is 110. What is the sum of the digits of the least possible value of that number ?
Figure for CET 2025 Slot 1 · Q131
  1. 16
  2. 14
  3. 3
  4. 9
  5. 18
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Answer: B. 14

CET 2025 Slot 2 · Q136Easy
Four friends, A, B, C and D, decide to jog for 30 minutes inside a stadium with a circular running track that is 200 metres long.
  • A completes a lap every 60 seconds
  • B, C and D complete a lap every 90s, 40s, and 80s respectively
The friends begin together at 4 p.m. What is the total number of laps the friends would have completed when they next cross the start line together?
  1. 36
  2. 52
  3. 42
  4. 48
  5. 47
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Answer: E. 47

CET 2025 Slot 2 · Q137Easy
The LCM and HCF of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, what is the larger of the two numbers?
  1. 30
  2. 25
  3. 60
  4. 108
  5. 84
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Answer: E. 84

CET 2025 Slot 3 · Q105Easy
How many numbers less than 1000 are multiples of both 10 and 13?
  1. 6
  2. 7
  3. 8
  4. 9
  5. 13
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Answer: B. 7

CET 2025 Slot 3 · Q106Easy
If the L.C.M of three numbers is 9570, then their H.C.F can be
  1. 11
  2. 12
  3. 19
  4. 23
  5. 10
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Answer: A. 11

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