Question

If 25 = ( 8 $\times$ Q ) + R
Find the value of Q and R.

• A. 3,2
• B. 3,1
• C. 4,1
• D. 1,1

Answer 1

The correct option is B 3,1

Euclid's division lemma:

Let a and b are two positive integers, then there exist unique integers q and r such that
a = bq + r, where 0 $\le$ r < b.
Now put the value in such a way that it satisfies the given equation below.
$\therefore$ 25 = 8 $\times$ 3 + 1
$\Rightarrow$ Quotient, q = 3 and remainder, r = 1