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Find the fourth

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Find the fourth

by sanju09 » Wed Aug 25, 2010 11:36 pm
Find the fourth consecutive even number.

(1) The sum of the last two numbers is 30.
(2) The sum of the first two numbers is 22.


[spoiler]Source: Crack-GMAT
www.crack-GMAT.com

The source was expected to write the stem as under

What is the fourth consecutive even number?[/spoiler]
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by Stuart@KaplanGMAT » Wed Aug 25, 2010 11:44 pm
sanju09 wrote:Find the fourth consecutive even number.

(1) The sum of the last two numbers is 30.
(2) The sum of the first two numbers is 22.


[spoiler]Source: Crack-GMAT
www.crack-GMAT.com

The source was expected to write the stem as under

What is the fourth consecutive even number?[/spoiler]
Horribly worded question. Based on the wording alone, I wouldn't trust this source.

Assuming the question should have been written as:
If set S only contains four consecutive even integers, what is the fourth term in set S?
we think to ourselves: if I can pinpoint any term in the set, I can reconstruct the entire set.

(1) there are only two consecutive even integers that sum to 30. So, we can figure out what those two terms are: sufficient, eliminate B, C and E.

(2) there are only two consecutive even integers that sum to 2. So, we can figure out what those two terms are: sufficient, eliminate A.

Each statement is sufficient alone, choose D.
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by Gurpinder » Thu Aug 26, 2010 8:47 am
sanju09 wrote:Find the fourth consecutive even number.

(1) The sum of the last two numbers is 30.
(2) The sum of the first two numbers is 22.
(1)

14+16=30

so the other 2 numbers are 10,12

sufficient.

(2)

10+12=22

the other 2 numbers are 14,16

sufficient

(D)
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