Question

By what number should 85 be divided to get 16 as quotient and 5 as remainder?

• A. 10
• B. 6
• C. 8
• D. 5

Answer 1

The correct option is D 5

By Euclid's division lemma, we have:
$a=bq+r,0\le r<b.$
So,
$85=16\times \left(divisor\right)+5$
$\Rightarrow 85-5=16\times \left(divisor\right)$
$\Rightarrow 80=16\times \left(divisor\right)$
$\Rightarrow divisor=\frac{80}{16}$ = 5
Thus, 85 should be divided by 5 to get 16 as quotient and 5 as remainder.