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

Problems on H.C.F and L.C.M
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

6
8
4
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)                                 = H.C.F. of 48, 92 and 140 = 4.

Problems on H.C.F and L.C.M
The least number, which when divided by 48, 60, 72, 108 and 140 leaves 38, 0, 62,98 and 130 as remainders respectively is .

15110
15210
11115
15120

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
55 cm
35 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
The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is

1032
1015
1022
1008

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The Smallest number which when diminished by 7, is divisible by 12,16,18,21 and 28 is :

1032
1008
1022
1015

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
1095/1168 when expressed in simplest form is:

17/26
13/16
25/26
15/16

ANSWER DOWNLOAD EXAMIANS APP
MORE MCQ ON Problems on H.C.F and L.C.M

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