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.

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)