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

Problems on H.C.F and L.C.M
L.C.M of two prime numbers x and y (x>y) is 161. The value of 3y-x is :

1
2
-1
-2

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Problems on H.C.F and L.C.M
Find the HCF of 54, 288, 360

19
16
18
17

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Lets solve this question by factorization method.18=2×3²,288=2×2×2×2×2×3²,360=2³×3²×5So HCF will be minimum term present in all three, i.e.2×3²=18

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

10, 20, 30
5, 10, 15
4, 8, 12
12, 24, 36

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Problems on H.C.F and L.C.M
Find the greatest number which will divide 25, 73 and 97 as so to leave the same remainder in each case?

24
18
12
32

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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.

25 cm
45 cm
55 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.

Problems on H.C.F and L.C.M
Two numbers are in the ratio 3 : 4. If their L.C.M. is 96. what is sum of the numbers?

76
84
56
48

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

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