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How many 4-digit numbers begin with an odd digit and end with an even

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 58335
How many 4-digit numbers begin with an odd digit and end with an even  [#permalink]

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New post 06 Feb 2019, 03:00
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (01:26) correct 24% (01:26) wrong based on 50 sessions

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GMAT Club Legend
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D
Joined: 18 Aug 2017
Posts: 4976
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
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Re: How many 4-digit numbers begin with an odd digit and end with an even  [#permalink]

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New post 06 Feb 2019, 06:28
2
Bunuel wrote:
How many positive 4-digit numbers begin with an odd digit and end with an even digit ?

A. 250
B. 500
C. 2,000
D. 2,500
E. 5,000



odd= 1,3,5,7,9
even= 0,2,4,6,8

5*10*10*5
2500
IMO D
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Intern
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B
Joined: 20 Jul 2018
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Re: How many 4-digit numbers begin with an odd digit and end with an even  [#permalink]

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New post 06 Feb 2019, 12:48
first 4 digit no is 1000
1000....1999------> in this series there will be total 1000 no.s and 1000/2=500 nos. will end with even digit.

likewise ,
3000....3999----> 500 nos (which will fulfill given constraint)
5000.....5999--->500
7000.....7999--->500
9000.....9999--->500

all nos will sum to 2500 hence ans is option 'D' IMO.
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Joined: 14 May 2018
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Concentration: Finance, Entrepreneurship
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Re: How many 4-digit numbers begin with an odd digit and end with an even  [#permalink]

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New post 06 Feb 2019, 12:59
Bunuel wrote:
How many positive 4-digit numbers begin with an odd digit and end with an even digit ?

A. 250
B. 500
C. 2,000
D. 2,500
E. 5,000


4 digit number

_ _ _ _

First place can be filled in 5 ways-1/3/5/7/9
Last place can be filled in 5 ways-0/2/4/6/8

Middle two can each be filled in 10 ways (0-9)

5*10*10*5=2500

Ans:D
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Re: How many 4-digit numbers begin with an odd digit and end with an even   [#permalink] 06 Feb 2019, 12:59
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