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

Problems on H.C.F and L.C.M
Find the smallest number which when increased by 5, divisible by 6, 9, 15, 20 and 24?

377
344
355
366

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

299
276
345
322

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Clearly, the numbers are (23 x 13) and (23 x 14). Larger number = (23 x 14) = 322.

Problems on H.C.F and L.C.M
Two numbers are in the ratio of 15:11. If their H.C.F. is 13, find the numbers.

395, 343
295, 243
95, 43
195, 143

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the required numbers be 15.x and 11x.Then, their H.C.F. is x. So, x = 13.The numbers are (15 x 13 and 11 x 13) i.e., 195 and 143.

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?

32
18
12
24

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

24
48
36
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.So, the numbers 12 and 16.L.C.M. of 12 and 16 = 48.

Problems on H.C.F and L.C.M
What is the least number which when divided by 8, 12, 18 and 24 leaves the remainders 4, 8, 14 and 20 respectively?

58
68
None
78

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

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