GMAT40 wrote:

Hi Bunnel,

Is the below solution correct

n = 3q + 2 ==> put values we get 2, 5, 8

n = 4q + 1 ==> put values we get 1, 5, 9

LCM is 12

so number should be 12q + 5

101

Ans : A

i think its working.

lets take a similar example just to verify:

a nymber when divided by 4 gives remainder 2 and when divided by 5 gives remainder 1

LCM of 4 and 5 = 20

now we will calculate first number which is satisfying this condition:

when divided by 4 gives remainder 2: 2

6 10

when divided by 5 gives remainder 1: 1

6 11

hence the number in generalized form = 20k+6

lets verify put k=1...number =26==>satisfies both

k=2....number = 46==>satisfying both...

so thats working.

takeaway:

step 1: find the LCM

step 2: find the first number satisfying both condition ...and then generalise.

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