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

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
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
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 H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is

12
108
84
48

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
What is the greatest number which divides 29, 32, 38 and leaves same remainder in each case?

4
2
3
5

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case?

1022
1020
1026
1030

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
LCM of 18 and 27 is:

54
89
91
85

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

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