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# M70-29

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Math Expert
Joined: 02 Sep 2009
Posts: 52390

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04 Sep 2018, 00:31
00:00

Difficulty:

35% (medium)

Question Stats:

43% (00:51) correct 57% (06:38) wrong based on 7 sessions

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Set A consists of $$n$$ consecutive integers, denoted from $$Q_1$$ to $$Q_n$$. What is the median of Set A?

(1) $$\frac{Q_1+Q_2+Q_3+...+Q_n}{n}=13$$

(2) $$Q_1=7$$ and $$Q_n=19$$

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Joined: 02 Sep 2009
Posts: 52390

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04 Sep 2018, 00:31
Official Solution:

We’ll go for LOGICAL because we can use the logic of median and average.

In a set of consecutive integers, the average and the median are the same. Therefore, (1) is sufficient to give us the median. (B), (C) and (E) are eliminated.

(2) is also sufficient on its own, as we know that the set of consecutive integers goes from 7 to 19: if we know all the numbers in set A, that’s enough in order to find its median. (A) is also eliminated.

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Joined: 20 Dec 2018
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25 Dec 2018, 21:29
I dont understand s1, we dont have the value of n, so how can u solve it? Pls clarify this more.
Re: M70-29 &nbs [#permalink] 25 Dec 2018, 21:29
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# M70-29

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