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⟩ A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21 . What is the remainder left, when twice the number is divided by 3D?a) 13 b) cannot be determined c) 3 d) 42

suppose the no. is a

a = Dx +8 ...1

a = 3Dy + 21 ...2

So from 1 & 2 we get

D(x-3y) = 13

13 is prime so x-3y has to be 1

let x = 4 and y = 1

We get a = 60

2a = 120

So 120 when divided by 3D = 39

we get remainder as 3

So answer is 3

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