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

Problems on H.C.F and L.C.M
The least number of four digits which is divisible by 15, 25, 40 and 75 is:

9800
9400
9600
9000

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

120
40
200
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

 Let the numbers be 3x, 4x and 5x.Then, their L.C.M. = 60x.So, 60x = 2400 or x = 40. The numbers are (3 x 40), (4 x 40) and (5 x 40).Hence, required H.C.F. = 40.

Problems on H.C.F and L.C.M
The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

111
101
185
107

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

 Let the numbers be 37a and 37b.Then, 37a x 37b = 4107 ab = 3.Now, co-primes with product 3 are (1, 3).So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111). Greater number = 111.

Problems on H.C.F and L.C.M
Find the lowest common multiple of 24, 36 and 40.

360
240
120
480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

 2 | 24 - 36 - 40 -------------------- 2 | 12 - 18 - 20 -------------------- 2 | 6 - 9 - 10 ------------------- 3 | 3 - 9 - 5 ------------------- | 1 - 3 - 5 L.C.M. = 2 x 2 x 2 x 3 x 3 x 5 = 360.

Problems on H.C.F and L.C.M
The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is

8
4
6
12

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The least number which should be added to 2497 so that the sum is exactly divisible by 5,6,4 and 3 is :

33
3
13
23

ANSWER DOWNLOAD EXAMIANS APP
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