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

Let the number be NNN.
Given: when NNN is divided by 56, the remainder is 29.
So we can write:

N=56k+29N=56k+29N=56k+29

for some integer kkk.

Now divide NNN by 8:

N=56k+29N=56k+29N=56k+29

Since 56=8×756=8\times 756=8×7,

N=8(7k)+29N=8(7k)+29N=8(7k)+29

So the remainder when dividing by 8 is the same as the remainder of 29 when divided by 8:

29=8×3+529=8\times 3+529=8×3+5

So the remainder is 5.

Answer: 5

Information gathered from public forums or data available on the internet and portrayed here.