TNPSC Group II · Aptitude and Mental Ability

HCF and LCM

Highest common factor, lowest common multiple problems.

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  • Q1 · HCF and LCM · EASY

    Three bells toll at intervals of 9, 12, and 15 minutes respectively. If they start tolling together, after how many minutes will they toll together again?

  • Q2 · HCF and LCM · MEDIUM

    The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, what is the other number?

  • Q3 · HCF and LCM · EASY

    Four different electronic devices beep at intervals of 6, 8, 10, and 12 seconds respectively. If they all beep together at 10:00 AM, at what time will they beep together again?

  • Q4 · HCF and LCM · MEDIUM

    The greatest number that will divide 398, 436, and 542 leaving remainders 7, 11, and 15 respectively is:

  • Q5 · HCF and LCM · HARD

    Three numbers are in the ratio 2:3:4. If their LCM is 240, what is their HCF?

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