# Aptitude  HCF and LCM  Practice Q&A

1. The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

 12 16 24 48

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

 1008 1015 1022 1032

3. 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

4. Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 240. Their H.C.F. is:

 40 30 20 10

5. 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

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

 123 127 235 305

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

 4 6 12 18

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

 276 264 272 268

9. Which of the following fraction is the largest ?

 $\dfrac{7}{8}$ $\dfrac{13}{16}$ $\dfrac{31}{40}$ $\dfrac{63}{80}$

10. 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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