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

Author Message
Intern
Joined: 11 Dec 2008
Posts: 22
If 500 is the multiple of 100 that is closest to x and 400 [#permalink]

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26 Dec 2008, 07:59
If 500 is the multiple of 100 that is closest to x and 400 is multiple of 100 that is closest to y, which multiple of x is closest to x+y?

(1) x < 500
(2) y < 400

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Intern
Joined: 26 Dec 2008
Posts: 10
Schools: Thunderbird

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27 Dec 2008, 00:04
E.

Two ways to solve:

1.) chunk it out mathematically:

a - min: 451 + 351 = 802
max: 449 + 449 = 948
INSUF

b - min: 451 + 351 = 802
max: 549 + 399 = 948
INSUF

a&b - min: 451 + 351 = 802
max: 499 + 399 = 898
INSUF

But this is way too long for the GMAT.

2.) Calculate the base:
min: 451 + 351 = 802 (or > 800)
max: 549 + 449 = 998 (or < 1000)

Then look at options. You'll never take off more than 100, so you'll always be stuck with both 800 or 900 in the possible set.
Manager
Joined: 10 Aug 2008
Posts: 72

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27 Dec 2008, 10:39
pstew06 wrote:
E.

Two ways to solve:

1.) chunk it out mathematically:

a - min: 451 + 351 = 802
max: 449 + 449 = 948
INSUF

b - min: 451 + 351 = 802
max: 549 + 399 = 948
INSUF

a&b - min: 451 + 351 = 802
max: 499 + 399 = 898
INSUF

But this is way too long for the GMAT.

2.) Calculate the base:
min: 451 + 351 = 802 (or > 800)
max: 549 + 449 = 998 (or < 1000)

Then look at options. You'll never take off more than 100, so you'll always be stuck with both 800 or 900 in the possible set.

Manager
Joined: 12 Aug 2008
Posts: 57

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15 Jan 2009, 08:26
Can someone please explain this question? I, too, am confused in understanding the question. Thanlks.
Intern
Joined: 05 Jan 2009
Posts: 9

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15 Jan 2009, 08:56
In my opinion the question should read:
If 500 is the multiple of 100 that is closest to x and 400 is multiple of 100 that is closest to y, which multiple of 100 is closest to x+y?

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Multiple - GMATprep   [#permalink] 15 Jan 2009, 08:56
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# If 500 is the multiple of 100 that is closest to x and 400

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