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

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

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New post 25 Mar 2019, 09:26
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Question Stats:

50% (01:56) correct 50% (03:05) wrong based on 26 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
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Re: How many positive 4-digit integers are divisible by 20 if the  [#permalink]

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New post 25 Mar 2019, 09:37
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The last digit has to be 0.. and there's only 1 way how 0 can occupy last digit...now working from back... the number is said to be divisible by 20 if the last two digits are divisible by 20.. keeping that in mind ,the second last place can be occupied by any of 2,4,6,8.. - 4 ways ..

First place - 8 ways ( any of the number except zero and the number occupied in second last place)
Second place - 7 ways.
Third place- 4 ways
Fourth place- 1 way

8*7*4*1 = 224.

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

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New post 30 Mar 2019, 10:19
mangamma 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


no to be divisible by 20 ; last digit has to be 0 and tens place has to be 2,4,6,8
so
left out places
8*7*4*0 ; 224
IMO C
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Re: How many positive 4-digit integers are divisible by 20 if the   [#permalink] 30 Mar 2019, 10:19
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