Question: 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 11. What is the value of the divisor?

1. 12
2. 13
3. 35
4. 37
5. 59

Correct Answer: D

Approach Solution (1):

See since remainder is 24 therefore the divisor D is > 24. Now by given info we have:

N = (D * k) + 24

When 2N is divided by D the remainder will be 24 * 2 = 48 but since it is 11 this means that D = 48 – 11 = 37

Approach Solution (2):

(1) a = d + 24
(2) 2a = kd + 11
(3) Multiply step 1 by 2 and subtract 1 from 2
(4) 0 = d (k – 2) – 37
(5) Because 37 is a prime number, the equation would make sense if k = 3, hence the answer would be 37.

“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 11. What is the value of the divisor?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills.

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