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# What is the sum of 7 consecutive integers?

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Math Expert
Joined: 02 Sep 2009
Posts: 48037
What is the sum of 7 consecutive integers?  [#permalink]

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24 Jun 2016, 03:20
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5% (low)

Question Stats:

84% (00:31) correct 16% (00:46) wrong based on 79 sessions

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What is the sum of 7 consecutive integers?

(1) The median of the seven integers is 8.
(2) One of the integers is 7.

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Math Expert
Joined: 02 Aug 2009
Posts: 6554
Re: What is the sum of 7 consecutive integers?  [#permalink]

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24 Jun 2016, 04:14
Bunuel wrote:
What is the sum of 7 consecutive integers?

(1) The median of the seven integers is 8.
(2) One of the integers is 7.

SUM of consecutive integers = the # of integers * Middle number = 7* middle number..
Middle number = Average = median .. in an AP and consecutive integers are always in AP..

(1) The median of the seven integers is 8.
Sum = 7*8..
Suff

(2) One of the integers is 7.
seven numbers could be 7,8,.... OR 1,2..,6,7
so insuff

A
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: What is the sum of 7 consecutive integers?  [#permalink]

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24 Jun 2016, 11:10
Bunuel wrote:
What is the sum of 7 consecutive integers?

(1) The median of the seven integers is 8.
(2) One of the integers is 7.

Statement 1) Median is 8 - Nos. are 5,6,7,8,9,10,11 = 56 .. Sufficient
Statement 2) Insufficient

Ans is Choice A)

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Re: What is the sum of 7 consecutive integers?  [#permalink]

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03 Oct 2017, 11:21
St 1: Median is 8
means: _ _ _8_ _ _ ; since they are consecutive, you can find the integers. SUFF

St 1: one number is 7.What about its placement? 6,7,8 or 7,8,9..NOT SUFF
Re: What is the sum of 7 consecutive integers? &nbs [#permalink] 03 Oct 2017, 11:21
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