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How many positive 4-digit integers are divisible by 20 if the repetiti

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How many positive 4-digit integers are divisible by 20 if the repetiti  [#permalink]

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New post 22 Jul 2017, 04:55
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A
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C
D
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Difficulty:

  35% (medium)

Question Stats:

83% (02:31) correct 17% (02:44) wrong based on 23 sessions

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How many positive 4-digit integers are divisible by 20 if the repetition of digits is not allowed?

A) 168
B) 196
C) 224
D)288
E)360


Kudos are welcome :)

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Re: How many positive 4-digit integers are divisible by 20 if the repetiti  [#permalink]

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New post 22 Jul 2017, 06:42
1
satsurfs wrote:
How many positive 4-digit integers are divisible by 20 if the repetition of digits is not allowed?

A) 168
B) 196
C) 224
D)288
E)360


Kudos are welcome :)

Hi,
20 = 2^2 * 5.
If a number is divisible by 4 and 5, then the number will be divisible by 20.
=> Unit digit should be 0 (1way).

Tens digit can be 2,4,6, and 8 (4 ways). Hundreds and Thousands place can be filled in 8 and 7 ways respectively (because the repetition of digits is not allowed).

Total number of digits = 8*7*4*1 = 224 .

Answer: (C) 224.

Thanks.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
GMAT Club Bot
Re: How many positive 4-digit integers are divisible by 20 if the repetiti   [#permalink] 22 Jul 2017, 06:42
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How many positive 4-digit integers are divisible by 20 if the repetiti

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