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How many 4 digit positive integers are there in which all 4

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How many 4 digit positive integers are there in which all 4 [#permalink]

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New post 20 Jun 2007, 19:35
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How many 4 digit positive integers are there in which all 4 digits are even?

1. 625
2. 600
3. 500
4 400
5 256
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Re: How many 4 digit positive integers? [#permalink]

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New post 20 Jun 2007, 19:41
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bewakoof wrote:
How many 4 digit positive integers are there in which all 4 digits are even?

1. 625
2. 600
3. 500
4 400
5 256


I got 500.

Say integer = ABCD
A can be 2,4,6,8
B,C,D can be 0,2,4,6,8
So 4*5*5*5 = 500

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New post 21 Jun 2007, 09:20
can you explain why you have multiplied 4*5*5*5?

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New post 21 Jun 2007, 17:54
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trahul4 wrote:
can you explain why you have multiplied 4*5*5*5?


Think of having to fill four slots. The thousands, hundreds, tens, and units slots.

Since it is a 4 digit number, 0 cannot be the first digit. So the first digit can be 2, 4, 6, or 8. Four possibilities.

For the other 3 digits, there are 5 possibilities: 0, 2, 4, 6, and 8.

therefore, 4x5x5x5

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Re: How many 4 digit positive integers? [#permalink]

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New post 21 Jun 2007, 19:10
bkk145 wrote:
bewakoof wrote:
How many 4 digit positive integers are there in which all 4 digits are even?

1. 625
2. 600
3. 500
4 400
5 256


I got 500.

Say integer = ABCD
A can be 2,4,6,8
B,C,D can be 0,2,4,6,8
So 4*5*5*5 = 500


Me too. These types of questions are prevalent in the GMATClub challenges, but I haven't seen problems of this type in the OG.

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Re: How many 4 digit positive integers are there in which all 4 [#permalink]

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New post 30 Sep 2016, 02:16
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Re: How many 4 digit positive integers are there in which all 4 [#permalink]

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New post 07 Oct 2017, 23:29
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: How many 4 digit positive integers are there in which all 4   [#permalink] 07 Oct 2017, 23:29
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