A number when divide by D leaves a remainder of 7 and when divided by 3D leaves a remainder of 20. what is the remainder left, when twice the number is divided by 3D?
[Number System , Remainder Theorem , possible remainder, CAT Questions]
A number when divided by D leaves a remainder of r. The possible remainders when the same number is divided by nD are r , (D+r), (2D+r),(3D+r) …[(n-1)D+r]
Let the number be N. Let the remainder left when N is divided by D be represented by
So, could be either (D+7) or (2D+7).
But D can’t be less than 7.
= = 1