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# A is a member of a set of numbers {2, 3, 24, 50 and 178}. If N= 6^A

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Math Expert
Joined: 02 Sep 2009
Posts: 49303
A is a member of a set of numbers {2, 3, 24, 50 and 178}. If N= 6^A  [#permalink]

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26 Jun 2018, 05:09
00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:13) correct 31% (01:36) wrong based on 121 sessions

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A is a member of a set of numbers {2, 3, 24, 50 and 178}. If $$N= 6^A$$, what is the probability that 876,463 is not a multiple of N ?

A. 0%

B. 6%

C. 40%

D. 78%

E. 100%

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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2007
Re: A is a member of a set of numbers {2, 3, 24, 50 and 178}. If N= 6^A  [#permalink]

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26 Jun 2018, 05:19

Solution

Given:
• A is a member of a set of numbers {2, 3, 24, 50 and 178}
• $$N = 6^A$$

To find:
• The probability that 876,463 is not a multiple of N

Approach and Working:
The number 876463 is neither a multiple of 2 nor a multiple of 3 ($$N = 6^A = 2^A * 3^A$$)
• Hence, the number 876463 can never be a multiple of N
• Therefore, the probability is 100%

Hence, the correct answer is option E.

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Joined: 14 Nov 2016
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A is a member of a set of numbers {2, 3, 24, 50 and 178}. If N= 6^A  [#permalink]

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27 Jun 2018, 23:31
mistook it as 2 separate numbers 876 and 473,
Math Expert
Joined: 02 Aug 2009
Posts: 6800
Re: A is a member of a set of numbers {2, 3, 24, 50 and 178}. If N= 6^A  [#permalink]

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27 Jun 2018, 23:41
Bunuel wrote:
A is a member of a set of numbers {2, 3, 24, 50 and 178}. If $$N= 6^A$$, what is the probability that 876,463 is not a multiple of N ?

A. 0%

B. 6%

C. 40%

D. 78%

E. 100%

an be checked
N consists of only 2 and 3...
876463 is an odd number and div by 3 cant be checked by adding the digits.
so 8+7+6+4+6+3=34, NOT div by 3, so 876463 will also be not div by 3
so probability is 100%

E
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: A is a member of a set of numbers {2, 3, 24, 50 and 178}. If N= 6^A &nbs [#permalink] 27 Jun 2018, 23:41
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# A is a member of a set of numbers {2, 3, 24, 50 and 178}. If N= 6^A

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