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# What is the mean of the series of 5 integers that satisfies the follow

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Manager
Joined: 25 Dec 2018
Posts: 142
Location: India
Concentration: General Management, Finance
GMAT 1: 590 Q48 V23
GPA: 3.4
WE: Engineering (Consulting)
What is the mean of the series of 5 integers that satisfies the follow  [#permalink]

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05 Mar 2019, 23:27
00:00

Difficulty:

45% (medium)

Question Stats:

60% (02:59) correct 40% (03:37) wrong based on 5 sessions

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What is the mean of the series of 5 integers that satisfies the following conditions?

I. Mode of the series is 11
II. The arithmetic mean of the largest term and second largest term is 21
III. Median of the series is 16

A) 11
B) 11.6
C) 16
D) 17
E) 21
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 965
WE: Supply Chain Management (Energy and Utilities)
Re: What is the mean of the series of 5 integers that satisfies the follow  [#permalink]

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06 Mar 2019, 00:05
mangamma wrote:
What is the mean of the series of 5 integers that satisfies the following conditions?

I. Mode of the series is 11
II. The arithmetic mean of the largest term and second largest term is 21
III. Median of the series is 16

A) 11
B) 11.6
C) 16
D) 17
E) 21

Let the five integers are: Mode, Mode, Median, second largest, Largest. (In ascending order)

Now, applying given conditions:

Set:- {11, 11, 16, 42-largest, largest}. (as per(II), largest+second largest=42)

Now mean of the above set= $$\frac{11+11+16+42-largest+largest}{5}$$=$$\frac{80}{5}=16$$

Ans. (C)
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Re: What is the mean of the series of 5 integers that satisfies the follow   [#permalink] 06 Mar 2019, 00:05
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