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Updated on: 05 Jul 2019, 03:36
Originally posted by basker561 on 12 May 2013, 10:38.
Last edited by Sajjad1994 on 05 Jul 2019, 03:36, edited 2 times in total.
Last edited by Sajjad1994 on 05 Jul 2019, 03:36, edited 2 times in total.
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
88% (00:45) correct
12%
(01:07)
wrong
based on 268
sessions
History
Date
Time
Result
Not Attempted Yet
Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 27^5?
(A) 5
(B) 8
(C) 10
(D) 15
(E) 19
(A) 5
(B) 8
(C) 10
(D) 15
(E) 19
the answer is 15 but all it says is 27^5= (3^3)^5 = 3^15 so 15 is the answer..
Can anyone explain this better? Also am i posting in the right area when i have questions like this?
Can anyone explain this better? Also am i posting in the right area when i have questions like this?
Source: Nova GMAT
Difficulty Level: 500
Difficulty Level: 500
arpanpatnaik
12 May 2013, 10:44
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basker561
Hi Basker!
For the above question, as the solution states \(27^5 = 3^15\)
Now \(3^x\) being a factor of\(3^15\) i.e \(3^x\) is to divide \(3^15\) with 0 remainder. If the question simply stated the possible range of x, the answer would be {0...15} The greatest value of the set is 15 and if x > 15, then it wouldn't be a factor anymore, it would become a multiple!
Hope this helps!
Regards,
Arpan
10 Jun 2015, 21:30
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Hi All,
While this question is a couple of years old, it DOES showcase a particular Exponent-rule 'concept' that you're almost certain to face on the Official GMAT: re-writing a "base" when dealing with exponents...
Any time the 'base value' is a positive integer that is not 1 and is not prime, it has the potential to be rewritten...
Here, we're dealing with 27^5....
27 = (3)(3)(3) = 3^3, so we can re-write that base as...
(3^3)^5
Here, we have a 'power to a power', which means we can multiply the two exponent values....
(3)(5) = 15
So...(3^3)^5 = 3^15
This is just one of several Exponent rules that you need to know for Test Day. While you're not going to be tested on every rule, having the overall knowledge and the ability to manipulate the numbers will help you to pick up the handful of Exponent rule questions you'll face on the GMAT.
GMAT assassins aren't born, they're made,
Rich
While this question is a couple of years old, it DOES showcase a particular Exponent-rule 'concept' that you're almost certain to face on the Official GMAT: re-writing a "base" when dealing with exponents...
Any time the 'base value' is a positive integer that is not 1 and is not prime, it has the potential to be rewritten...
Here, we're dealing with 27^5....
27 = (3)(3)(3) = 3^3, so we can re-write that base as...
(3^3)^5
Here, we have a 'power to a power', which means we can multiply the two exponent values....
(3)(5) = 15
So...(3^3)^5 = 3^15
This is just one of several Exponent rules that you need to know for Test Day. While you're not going to be tested on every rule, having the overall knowledge and the ability to manipulate the numbers will help you to pick up the handful of Exponent rule questions you'll face on the GMAT.
GMAT assassins aren't born, they're made,
Rich
