CET HCF and LCM Questions with Solutions
All 24 HCF and LCM questions from MBA CET 2025 and 2026 papers. Tap Show answer, or open the detailed solution (free login). Page 1 of 5.
Three positive integers are such that the difference between the largest and the smallest number is 180.
The HCF of the three numbers is the greatest possible, and the smallest number is 90.
If the middle number differs from the smallest number by 60, what is the HCF of the three numbers?
- 14
- 21
- 28
- 30
- 35
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Answer: D. 30
Three positive integers are in the ratio 3 : 5 : 7. The difference between the largest and the middle number is 56. The LCM of the smallest and the largest number is 588. What is the sum of the three numbers?
- 430
- 580
- 420
- 349
- 575
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Answer: C. 420
Three bells ring at intervals of 30 seconds, 45 seconds, and 60 seconds.
After how much time will they ring together again?
- 90 seconds
- 180 seconds
- 120 seconds
- 240 seconds
- 300 seconds
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Answer: B. 180 seconds
DIRECTION for the question: Solve the following question and mark the best possible option.
- 37
- 47
- 73
- 79
- 22
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Answer: D. 79
The HCF of 2472, 1284, and a third number N is 12.
If their LCM is 2³ × 3² × 5 × 103 × 107, then which of the following could be the value of N?
- 2² × 3² × 7
- 2² × 3³ × 103
- 2² × 3² × 5
- 3³ × 103
- 2² × 3²
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Answer: C. 2² × 3² × 5