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Last Updated on May 3, 2023
GMAT OFFICIAL GUIDE PS
Solution:
We can solve this problem by translating the given information into math equations. We are first given that the positive integer n is divisible by 25. Translating this we have:
n/25 = integer
We are next given that the square root of n is greater than 25. So we can say:
√n > 25
Next we eliminate the square root by squaring both sides.
n > 25^2
n > 625
Since n must be a multiple of 25 and now we know it must be greater than 625, n/25 must be greater than 625/25, or 25. The only number greater than 25 in the answer choices is 26, so the answer must be E
Answer: E
