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# Number Properties Question

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Joined: 12 Dec 2010
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Schools: Wharton, Columbia, Booth, NYU
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Number Properties Question [#permalink]  19 Dec 2010, 15:14
00:00

Difficulty:

5% (low)

Question Stats:

50% (02:56) correct 50% (02:02) wrong based on 6 sessions

If x is equal to the sum of the integers from 30 to 50, inclusive,
and y is the number of even integers from 30 to 50, inclusive,
what is the value of x + y ?
(A) 810
(B) 811
(C) 830
(D) 850
(E) 851
[Reveal] Spoiler: OA

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Re: Number Properties Question [#permalink]  19 Dec 2010, 15:31
Expert's post
MasterGMAT12 wrote:

If x is equal to the sum of the integers from 30 to 50, inclusive, and y is the number of even integers from 30 to 50, inclusive, what is the value of x + y ?
(A) 810
(B) 811
(C) 830
(D) 850
(E) 851

The sum of the integers from 30 to 50 is x=\frac{first \ term+ last \ term}{2}*# \ of \ terms=\frac{30+50}{2}*21=40*21=840;

The number of even integers from 30 to 50 is y=\frac{50-30}{2}+1=11 (check this: totally-basic-94862.html);

x+y=840+11=851.

 ! Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/Please post DS questions in the DS subforum: gmat-data-sufficiency-ds-141/No posting of PS/DS questions is allowed in the main Math forum.

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Re: Number Properties Question   [#permalink] 19 Dec 2010, 15:31
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