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Preparing for the GMAT? Avoid these 5 major mistakes that can lower your score and hurt your MBA dreams. In this expert panel discussion, 4 top GMAT coaches - GMAT Ninja, Jeff Miller from TTP, Rida Shafiq from eGMAT, and Chris Gentry from Manhattan Prep- Mar 27
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The Target Test Prep team has recently introduced TTP OnDemand GMAT, a 400-hour live masterclass video course created by Scott Woodbury-Stewart, founder and CEO of Target Test Prep.
04 Jul 2024, 01:20
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Bookmarks
With some more steps, yes:
58! - 38! =
= 3^27*x -3^17*y =
= 3^17(3^10*x -y) =
= 3^17(multiple of 3 -NOT a multiple of 3) =
= 3^17(NOT a multiple of 3)
58! - 38! =
= 3^27*x -3^17*y =
= 3^17(3^10*x -y) =
= 3^17(multiple of 3 -NOT a multiple of 3) =
= 3^17(NOT a multiple of 3)
04 Jul 2024, 01:25
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Bunuel
What is the highest power of 3 available in the expression 58! - 38!?
A. 16
B. 17
C. 18
D. 19
E. 20
58! - 38! =
= 38!(58 * 57 * 56 * ... * 39 - 1)
58 * 57 * 56 * ... * 39 is a multiple of 3, thus 58 * 57 * 56 * ... * 39 - 1 is 1 less than a multiple of 3, so not a multiple of 3 and thus will not contribute any 3’s to the entire product.
The highest integer power of 3 in 38! is 38/3 + 38/9 + 38/27 = 12 + 4 + 1 = 17 (remember we take only the quotients of the divisions, that is 38/3 would give 12, not 12 2/3).
Answer: A
Solid explanation A. 16
B. 17
C. 18
D. 19
E. 20
58! - 38! =
= 38!(58 * 57 * 56 * ... * 39 - 1)
58 * 57 * 56 * ... * 39 is a multiple of 3, thus 58 * 57 * 56 * ... * 39 - 1 is 1 less than a multiple of 3, so not a multiple of 3 and thus will not contribute any 3’s to the entire product.
The highest integer power of 3 in 38! is 38/3 + 38/9 + 38/27 = 12 + 4 + 1 = 17 (remember we take only the quotients of the divisions, that is 38/3 would give 12, not 12 2/3).
Answer: A
