Author: Anurag@Gurome
Posted: Wed Dec 26, 2012 12:25 am (GMT -8)
Please check your source.
I think the original question is as follows...
If 5^2 and 3^3 are factors of N, then N must contain two 5s and three 3s.
Now, 2^5 Ã 6^2 Ã 7^3 does not contain any 5. But it does contain two 3s in 6^2 = (2*3)^2
Hence, the missing two 5s and one 3 must be a factor of n.
Hence, minimum possible value of n is (5^2)*3 = 3*25 = 75
The correct answer is D.
PS : According to the question you have posted, following the similar logic the minimum possible value of n should be 33*(52/2) = 33*26
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Posted: Wed Dec 26, 2012 12:25 am (GMT -8)
Please check your source.
I think the original question is as follows...
Quote:
Say, N = n à 2^5 à 6^2 à 7^3
Both 5^2 and 3^3 are factors of n à 2^5 à 6^2 à 7^3 where n is a positive integer. What is the smallest possible positive value of n?
If 5^2 and 3^3 are factors of N, then N must contain two 5s and three 3s.
Now, 2^5 Ã 6^2 Ã 7^3 does not contain any 5. But it does contain two 3s in 6^2 = (2*3)^2
Hence, the missing two 5s and one 3 must be a factor of n.
Hence, minimum possible value of n is (5^2)*3 = 3*25 = 75
The correct answer is D.
PS : According to the question you have posted, following the similar logic the minimum possible value of n should be 33*(52/2) = 33*26
_________________
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
+91-99201 32411 (India)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/