Problems on H.C.F and L.C.M Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm. 55 cm 45 cm 25 cm 35 cm 55 cm 45 cm 25 cm 35 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required length = H.C.F. of 495 cm, 900 cm and 1665 cm. 495 = 3² x 5 x 11, 900 = 2² x 3² x 5², 1665 = 3² x 5 x 37. H.C.F. = 32 x 5 = 45. Hence, required length = 45 cm.
Problems on H.C.F and L.C.M What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ? 540 420 630 770 540 420 630 770 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP L.C.M. of 12, 18, 21, 30 2 | 12 - 18 - 21 - 30 ---------------------------- = 2 x 3 x 2 x 3 x 7 x 5 = 1260. 3 | 6 - 9 - 21 - 15 ---------------------------- Required number = (1260 ÷ 2) | 2 - 3 - 7 - 5 = 630.
Problems on H.C.F and L.C.M Find the largest number which divides 62,132,237 to leave the same reminder 30 None of these 35 25 30 None of these 35 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Trick is HCF of (237-132), (132-62), (237-62)= HCF of (70,105,175) = 35
Problems on H.C.F and L.C.M A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing. 51 61 45 47 51 61 45 47 ANSWER DOWNLOAD EXAMIANS APP
Problems on H.C.F and L.C.M Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are 4, 8, 12 5, 10, 15 12, 24, 36 10, 20, 30 4, 8, 12 5, 10, 15 12, 24, 36 10, 20, 30 ANSWER DOWNLOAD EXAMIANS APP
Problems on H.C.F and L.C.M The least number which when divided by 8, 12 and 16, leave in each remainder 3, is? 71 70 69 51 71 70 69 51 ANSWER DOWNLOAD EXAMIANS APP
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