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

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New post 26 Jun 2018, 04:09
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (01:31) correct 33% (01:38) wrong based on 127 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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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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New post 26 Jun 2018, 04:19

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.

Answer: E
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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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New post 27 Jun 2018, 22:31
mistook it as 2 separate numbers 876 and 473,
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Joined: 02 Aug 2009
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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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New post 27 Jun 2018, 22:41
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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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, 22:41
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