A number, when divided by a divisor, leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 13. What is the value of the divisor?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 35.
Let number = x, divisor = d
x ÷ d leaves remainder 24
So, x = d × q + 24
⇒ 2x = 2d × q + 48
Remainder when 2x is divided by d = 13
So, remainder of 2x = 48 ÷ d = 13
⇒ 48 − 13 = 35
⇒ d = 35