On dividing a certain number by 304, we get 43 as the remainder. If the same number is divided by 16, what will be the remainder?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 11.
We know that,
Dividend = Divisor × Quotient + Remainder
Here, Divisor = 304 and Remainder = 43
Let the Divisor be x and the quotient be y
Dividend = Divisor × Quotient + Remainder
⇒ x = 304 × y + 43
⇒ x = 16 × 19 × y + 16 × 2 + 11
⇒ x = 16(19y + 2) + 11 [16(19y + 2) is divisible by 16]
Thus, the remainder will be 11