bySayantani Barman Experta en el extranjero
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?
- 12
- 13
- 35
- 37
- 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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