On dividing 15968 by a certain number, the quotient is 89 and the remainder is 37. Find the sum of the digits of the divisor.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 17
In any division, dividend = divisor × quotient + remainder. Taking away the remainder leaves an exact product of the divisor and the quotient, so dividing it by the quotient gives the divisor.
Dividend less the remainder: \(15968-37=15931\)
Divisor: \(15931\div89=179\)
Sum of the digits of 179: \(1+7+9=17\)