Latest TCS Aptitude Question SOLUTION: If m+n is divided by 12 leaves a reminder 8,If m-n is divided by 12 leaves a reminder 6,then If mn is divided by 6 what is the reminder? Option a)4 b)3 c)2 d)1

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If m+n is divided by 12 leaves a reminder 8,If m-n is divided by 12 leaves a reminder 6,then If mn is divided by 6 what is the reminder?
Option a)4 b)3 c)2 d)1

Solution

according to the given condition
m+n = 12x+8
m-n = 12y+6
on solving we get m = 6x+6y+7, n = 6x-6y+1
so mn = (6x+6y+7)(6x-6y+1) = 36(x^2-y^2)+6x+6y+42x-42y+7
this expression is equal to 6z+1 so on dividing it by 6 we will get 1 as reminder

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Asked In TCS Balakrishnan M (11 years ago)

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