How many three-digit integers can be divided by 2 to produce

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How many three-digit integers can be divided by 2 to produce [#permalink]

22 Sep 2005, 13:01

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How many three-digit integers can be divided by 2 to produce a new integer with the same tens digit and units digit as the original integer?

A. None
B. One
C. Two
D. Three
E. Four

[Reveal] Spoiler: OA

Last edited by Bunuel on 21 Feb 2012, 01:00, edited 1 time in total.

Edited the question and added the OA

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Re: How many three-digit integers can be divided by 2 to produce [#permalink]

21 Feb 2012, 01:11

acid_burn wrote:

How many three-digit integers can be divided by 2 to produce a new integer with the same tens digit and units digit as the original integer?

A. None
B. One
C. Two
D. Three
E. Four

The tens and units digits of a three-digit integer must be 0: X00 (no digit gives the same digit when divided by 2 but 0: 0/2=0). Now, apart from this, X must be even because 300/2=150, not the same tens and units digits. Hence there are following three-digit integers possible: 200, 400, 600, and 800.

Answer: E.
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Re: How many three-digit integers can be divided by 2 to produce [#permalink] 21 Feb 2012, 01:11

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How many three-digit integers can be divided by 2 to produce

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How many three-digit integers can be divided by 2 to produce

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