Vincen wrote:Two numbers when divided by a divisor leave reminders of 248 and 372 respectively. The reminder obtained when the sum of the numbers is divided by the same divisor is 68. Find the divisor.
A. 276
B. 552
C. 414
D. 1104
E. 2202
OA is B.
How can I solve this PS question?
We have the sum of remainders = 248 + 372 = 620
Since the sum (620) would also be divisible by the divisor, and we have the remainder = 68, the divisor would be a factor of 620 - 68 = 552 and is less than 68.
We see that option A (276) and option B (552) are the factors of 552. But option A (276) cannot be the divisor since the second number when divided by 276 cannot leave a remainder (372) greater than the divisor (276).
Thus, the correct answer is
B.
Hope this helps!
Download free ebook:
Manhattan Review GMAT Quantitative Question Bank Guide
-Jay
__________________________________
Manhattan Review GMAT Prep
Locations:
New York |
Bangkok |
Abu Dhabi |
Rome | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor!
Click here.
