Aptitude  HCF and LCM  Practice Q&A

1. The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

1008 1015 1022 1032

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2. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

4 10 15 16

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3. 252 can be expressed as a product of primes as:

2 x 2 x 3 x 3 x 7 2 x 2 x 2 x 3 x 7 3 x 3 x 3 x 3 x 7 2 x 3 x 3 x 3 x 7

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4. The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

123 127 235 305

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5. Find the highest common factor of 36 and 84.

4 6 12 18

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6. What is the smallest number which when diminished by 12, is divisible 8, 12, 22 and 24?

276 264 272 268

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7. The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

276 299 322 345

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8. 504 can be expressed as a product of primes as

2 × 2 × 3 × 3 × 7 × 7 2 × 3 × 3 × 3 × 7 × 7 2 × 3 × 3 × 3 × 3 × 7 2 × 2 × 2 × 3 × 3 × 7

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9. The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

28 32 40 64

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10. What is the HCF of 1/3,2/3, and 1/4 ?

2/3 1/3 1/4 1/12

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