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

Problems on H.C.F and L.C.M
The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77,find the other.

109
99
79
89

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Other number = 11 X 693   = 99                              77                            

Problems on H.C.F and L.C.M
The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?

56
24
48
60

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.

22
35
48
52

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required number =  H.C.F. of (132 - 62), (237 - 132) and (237 - 62)                                      =  H.C.F. of 70, 105 and 175 = 35.

Problems on H.C.F and L.C.M
252 can be expressed as a product of primes as:

2 x 2 x 2 x 3 x 7
3 x 3 x 3 x 3 x 7
2 x 3 x 3 x 3 x 7
2 x 2 x 3 x 3 x 7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Clearly, 252 = 2 x 2 x 3 x 3 x 7.

Problems on H.C.F and L.C.M
Five bells ring together and ring at intervals of 2, 6, 8, 12 and 15 seconds respectively. How many times will they ring together in 60 minutes?

34
31
33
32

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?

3603
2403
7203
4803

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

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