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H.C.F and L.C.M. Aptitude Questions and Answers Pdf, , 1. The H.C.F. of 1.75, 5.6 and 7 is, a. 0.07, b. 0.7, c. 3.5, d. 0.35, Ans: D, , 2. The number of number-pairs lying between 40 and 100 with their H.C.F. as 15 is, a. 3, b. 4, c. 5, d. 6 -, Ans:, , 3. The ratio of two numbers is 13 : 15 and their L.C.M. is 39780. The numbers are, a. 884, 1020

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b. 884, 1040, c. 670, 1340, d. 2652, 3060, Ans: D, , 4. 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, a. 276, b. 299, c. 322, d. 345, Ans: C, , 5. The capacity of two pots is 120 litres and 56 litres respectively. Find the, capacity of a container which can exactly measure the contents of the two pots., a. 7500 cc, b. 7850 cc, c. 8000 cc, d. 9500 cc, Ans: C

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6. The greatest number which can divide 1356, 1868 and 2764 leaving the same, remainder 12 in each case is, a. 64, b. 124, c. 156, d. 260, Ans: A, , 7. The number between 4000 and 5000 which is divisible by 12, 18, 21 and 32 is, a. 4023, b. 4032, c. 4203, d. 4302, Ans: B

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8. The least number, which when divided by 12, 15, 20 and 54 leaves in each case, a remainder of 8 is, a. 504, b. 536, c. 544, d. 548 -, Ans:, , 9. The number of pair of positive integers whose sum is 99 and H.C.F. of 9 is, a. 5, b. 4, c. 3, d. 2 -, Ans:, , 10. Find the greatest number of four digits which when divided by 10, 15, 21 and, 28 leaves 4, 9, 15 and 22 as remainders, respectively.

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a. 9654, b. 9666, c. 9664, d. 9864, Ans: A, First, find the greatest number of four digits that is divisible by the L.C.M. of 10,, 15, 21 and 28 and then subtract 6 from it to get the required number.