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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
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Answer Posted / sourabh
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 BUT THESE NUMBER DONT SATISFY EQ 1 AND 2 IE
IF WE PUT X=4 IN 1 WE GET N=50 AND IF WE PUT Y = 1 IN 2 WE
GET N=60
SO WE LET X=7 AND Y = 2
then n=99
so 2n is divided that is 198 by 3D that is by 39 we get
the remainder as 3
| Is This Answer Correct ? | 13 Yes | 13 No |
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