H.C.F. & L.C.M. of Numbers

6.The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is: A.) 1008 B.) 1032 C.) 1015 D.) 1022 Answer: Option c Explanation: L.C.M. of 12,16, 18, 21, 28) + 7 = 1008 + 7 = 1015 Q 7: The greatest number which is dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is: a) 123 b) 127 c) 235 d) 305 Answer: Option b Explanation: H.C.F. of (1657 - 6) and (2037 - 5) = H.C.F. of 1651 and 2032 = 127. Q 8: 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 Answer: Option c Explanation: Larger number is= (23 * 14) = 322. Q 9:A rectangular courtyard 4.55 meters long and 5.25 meters wide is paved exactly with square tiles of same size. Find the largest size of the tile used for this purpose? a. 25 cm b. 45 cm c. 21 cm d. 35 cm Answer:d Option Explanation: Covert numbers without decimal places i.e 455 cm and 525 cm Find the H.C.F. of 455 and 525 H.C.F. of 455 and 525 = 35 cm Hence, the largest size of the tile is 35 cm. Q 10:The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is: A. 15 cm B. 25 cm C. 35 cm D. 42 cm Answer:d Option Explanation: H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm.

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