Question

on dividing a number by 56, we get 29 as remainder.on dividing twice the same number by 8 what will be the remainder

Answer 1

Answer:

Let the number be x,

Now, x % 56 = 29

=> x = 56q + 29  (where q is the quotient)

2x = 112q + 58 -(1)

Now, we've to find 2x % 8 = ?

2x % 8 = (112q + 58)%8

           = ( 112q%8  + 58%8)  { 112q is a multiple of 8, 8x14q = 112q}

           = ( 0  + 58%8)            {8x7 = 56}

           = ( 0  + 2)

           = 2 <-ANS