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Sajjad1994
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What is the value of the sum of a sequence of x consecutive even integ 19 Mar 2017, 08:45
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

89% (00:51) correct 11% (00:46) wrong based on 45 sessions

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What is the value of the sum of a sequence of x consecutive even integers?

(1) x = 5
(2) The least integer in the sequence is 6
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C
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
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BrentGMATPrepNow
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What is the value of the sum of a sequence of x consecutive even integ 19 Mar 2017, 09:09
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SajjadAhmad
What is the value of the sum of a sequence of x consecutive even integers?

(1) x = 5
(2) The least integer in the sequence is 6
Show more

Target question: What is the sum of a sequence of x consecutive even integers?

Statement 1: x = 5
We don't know where the sequence starts. For example:
Case a: the 5 numbers are {2, 4, 6, 8, 10}, in which case the sum = 30
Case b: the 5 numbers are {4, 6, 8, 10, 12}, in which case the sum = 40
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: The least integer in the sequence is 6
We don't know how many integers are in the sequence. For example:
Case a: the numbers are {6, 8}, in which case the sum = 14
Case b: the numbers are {6, 8, 10}, in which case the sum = 24
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
We now know that the numbers are {6, 8, 10, 12, 14}, in which case the sum = 50
Since we can answer the target question with certainty, the combined statements are SUFFICIENT

Answer: C

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Brent
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