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

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

Solution:
If a number divided by 56 leaves a remainder of 29, we can express it as:
Number = 56 × Quotient + 29

Now, to find the remainder when this number is divided by 8, let's try to simplify the expression.
Number = 56 × Quotient + 29

We know that 56 is divisible by 8, so let's express 56 in terms of 8:
56 = 8 × 7

Therefore, we can rewrite the expression for the number:
Number = 8 × 7 × Quotient + 29
Number = 8 × (7 × Quotient) + 29

Now, when we divide this expression by 8, we'll focus on the remainder:

8 × (7 × Quotient) leaves no remainder when divided by 8 because it's a multiple of 8.

So, the remainder when 29 is divided by 8 is 5.