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# If 500 is the multiple of 100 that is closest to x and 400

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Intern
Joined: 09 Sep 2005
Posts: 21
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If 500 is the multiple of 100 that is closest to x and 400 [#permalink]  10 Sep 2005, 12:22
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If 500 is the multiple of 100 that is closest to x and 400 is the multiple of 100 that is closest to y, which multiple of 100 is closest to x+y ?

1 - x < 500
2 - y < 400
Manager
Joined: 14 Jul 2005
Posts: 104
Location: Sofia, Bulgaria
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I assume that 1 - x < 500 means "Statement (1) x<500". Same for y.
---------------------------

The information in the stem can be written down as
451 < x < 549
351 < y < 449

The range of x+y is [802, 998], so we have three possibilities for the closest multiple of 100: 800, 900, 1000

Statement 1: The range of x is narrowed down to 451 < x < 500 , so the range of x+y becomes [802, 949]. We still have more than one possible answer, so the statement is insufficient.

The same logic applies to statement (2).

When we combine the 2 statements, we get
451 < x < 500
351 < y < 400
and 802 < x+y < 900

I think the answer should be E, because we don't have a single solution even after combining the 2 statements.
Intern
Joined: 09 Sep 2005
Posts: 21
Followers: 0

Kudos [?]: 1 [0], given: 0

Indeed the answer is E. Many thanks
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