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What is the value of the sum of a sequence of x consecutive even integ

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SVP
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What is the value of the sum of a sequence of x consecutive even integ  [#permalink]

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New post 19 Mar 2017, 07:45
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A
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C
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E

Difficulty:

  25% (medium)

Question Stats:

87% (00:44) correct 13% (00:37) wrong based on 27 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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Re: What is the value of the sum of a sequence of x consecutive even integ  [#permalink]

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New post 19 Mar 2017, 08:09
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Top Contributor
SajjadAhmad wrote:
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


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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Re: What is the value of the sum of a sequence of x consecutive even integ &nbs [#permalink] 19 Mar 2017, 08:09
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