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

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Senior Manager
Joined: 25 Dec 2018
Posts: 484
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
How many positive 4-digit integers are divisible by 20 if the  [#permalink]

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25 Mar 2019, 09:26
1
4
00:00

Difficulty:

55% (hard)

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
Manager
Joined: 19 Jan 2019
Posts: 88
Re: How many positive 4-digit integers are divisible by 20 if the  [#permalink]

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25 Mar 2019, 09:37
1
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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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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