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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 7m, 3m 85cm, 12 m 95 cm is

42 cm
15 cm
25 cm
35 cm

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.

35 cm
45 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
Three numbers are in the ratio 3:4:5 and their L.C.M is 2400. Their H.C.F is:

120
40
80
200

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Problems on H.C.F and L.C.M
The H.C.F of 2923 and 3239 is :

47
73
37
79

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Problems on H.C.F and L.C.M
A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?

391
431
485
381

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Problems on H.C.F and L.C.M
Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively.

1494
1394
1194
1294

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here,(20-14) = 6,(25 – 19)=6,(35-29)=6 and (40-34)=6.    Required number = (L.C.M. of 20,25,35,40) – 6 =1394.

MORE MCQ ON Problems on H.C.F and L.C.M

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