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

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:

36
18
48
24

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
Which of the following has the most number of divisors?

176
99
182
101

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Option A, 176 = 1 x 2 x 2 x 2 x 2 x 11.Option B, 182 = 1 x 2 x 7 x 13. Option C, 99 = 1 x 3 x 3 x 11. Option D, 101 = 1 x 101.Divisors of 99 are 1, 3, 9, 11, 33, 99.Divisors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88 and 176. Divisors of 182 are 1, 2, 7, 13, 14, 26, 91 and 182.Hence, 176 have the most number of divisors.

Problems on H.C.F and L.C.M
The least number of five digits which is exactly divisible by 12,15 and 18 is :

10080
10015
10020
10010

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

 NA

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:

-2
2
1
-1

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The L.C.M of 22, 54, 108, 135 and 198 is

330
5940
11880
1980

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?

42 cms
14 cms
21 cms
None of these

ANSWER DOWNLOAD EXAMIANS APP
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