If a number is divisible by 624, the remainder will be 53. If the same number is divisible by 16 then, the remainder will be:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 5.
Dividend = Divisor × Quotient + Remainder
Let the number that divides 624 be = n
⇒ 624/n, Remainder = 53
When it is divisible by 16, it can be written as;
⇒ (39 × 16 + 53)/n
⇒ (39 × 16 + 16 × 3 + 5)n
Hence remainder = 5