Question

By what number should 1365 be divided to get 31 as quotient and 32 as remainder?

• A. 32
• B. 43
• C. 42
• D. 33

Answer 1

The correct option is B 43

By Euclid's division lemma, we have:
$1365=31\times \left(divisor\right)+32$
$\Rightarrow 1333=31\times \left(divisor\right)$
$\Rightarrow divisor=43$
Thus, 1365 should be divided by 43 to get 31 as quotient and 32 as remainder.