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Problems on H.C.F and L.C.M

Problems on H.C.F and L.C.M
The greatest possible length which can be used to measure exactly the length 7 m, 3 m 85 cm, 12 m 95 cm is :

42 cm
35 cm
15 cm
25 cm

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?

14 cms
None of these
42 cms
21 cms

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the largest number which divides 62,132,237 to leave the same reminder

30
35
None of these
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
The greatest number of four digits that have 144 for their HCF is?

9903
9935
9936
9930

ANSWER DOWNLOAD EXAMIANS APP

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.

45 cm
35 cm
55 cm
25 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
Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?

420
435
515
518

ANSWER DOWNLOAD EXAMIANS APP
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