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Sum of integers + Even integers

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Joined: 14 Apr 2011
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Sum of integers + Even integers [#permalink] New post 29 Jun 2011, 22:15
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (01:53) correct 0% (00:00) wrong based on 5 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: Sum of integers + Even integers [#permalink] New post 29 Jun 2011, 22:20
x is equal to the sum of the integers from 30 to 50

=> x = (30 + 50)/2 * # of integers between 30 and 50 (inclusive)

# of integers between 30 and 50 (inclusive) = (50-30) + 1 = 21

=> x = 80/2 * 21 = 40 * 21 = 840

y is the number of even integers from 30 to 50

=> y = (50-30)/2 + 1 = 10 + 1 = 11


=> x + y = 840 + 11 = 851

Answer - E
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Re: Sum of integers + Even integers   [#permalink] 29 Jun 2011, 22:20
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