Find the fourth

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

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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Source: Beat The GMAT — Data Sufficiency | Wed Aug 25, 2010 11:36 pm

Stuart@KaplanGMAT: GMAT Instructor; Posts: 3225; Joined: Tue Jan 08, 2008 2:40 pmFollowed by: 614 members; Location: Toronto; Thanked: 1710 times; GMAT Score:800

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.

Stuart Kovinsky | Kaplan GMAT Faculty | Toronto

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Gurpinder: Legendary Member; Posts: 659; Joined: Mon Dec 14, 2009 8:12 amFollowed by: 3 members; Thanked: 32 times

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)

"Do not confuse motion and progress. A rocking horse keeps moving but does not make any progress."
- Alfred A. Montapert, Philosopher.

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