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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
25
None of these
35

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 number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively

17
19
18
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

HCF of (400-9, 435-10, 541-14)HCF of (391, 425, 527) = 17

Problems on H.C.F and L.C.M
A gardener was asked a plant flowers in a row containing equal number of plants. He tried to plant 6, 8, 10 and 12 in each row, but 5 plants left in each case. When he planted 13 in a row, no plant wa

125
845
245
485

ANSWER DOWNLOAD EXAMIANS APP

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:

80
120
40
200

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
10, 20, 30
10, 20, 30
5, 10, 15

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.

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.

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

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