4) 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

Answer Posted / neelam venkata balaji

let's number is n
so n=Dx+8------->1
n=3Dy+21--------->2
from 1 & 2 D(x-3y)=13
here 13 is prime number so it has factors 1 and 13 only
x-3y must be 1
let x=4 and y=1
then n=60
so 2n is divided that is 120 by 3D that is by 39 we get
the remainder as 3

Is This Answer Correct ?    106 Yes 15 No



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