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Director  B
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Is the median of the five numbers a,b,c,d,e and e equal to d?  [#permalink]

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17 00:00

Difficulty:   25% (medium)

Question Stats: 75% (01:29) correct 25% (01:18) wrong based on 892 sessions

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Is the median of the five numbers a,b,c,d and e equal to d?

(1) a<c<e
(2) b<d<c

OG Q 2017 New Question
Director  B
Joined: 04 Jun 2016
Posts: 537
GMAT 1: 750 Q49 V43
Re: Is the median of the five numbers a,b,c,d,e and e equal to d?  [#permalink]

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1
AbdurRakib wrote:
Is the median of the five numbers a,b,c,d and e equal to d?

(1) a<c<e
(2) b<d<c

OG Q 2017 New Question

E

Statement 1) Insufficient doesn't tell about b and d (Option A and D out)
Statement 2) Insufficient doesn't tell about a or e (Option B out)

Merge both statement 1 & 2) :- Still Insufficient
All we know a,b, and d are < c we do not know the exact magnitude so d can be the first , second or third element of the set in ascending value. (Option C out)

HENCE E
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Re: Is the median of the five numbers a,b,c,d,e and e equal to d?  [#permalink]

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E

analyse bothe the equations and there is discrepancy between 'a' and 'd'.

either of them ca be left or right between 'b' and 'c'
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Re: Is the median of the five numbers a,b,c,d,e and e equal to d?  [#permalink]

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1
1
AbdurRakib wrote:
Is the median of the five numbers a,b,c,d and e equal to d?

(1) a<c<e
(2) b<d<c

OG Q 2017 New Question

Statements combined:
To combine the two inequalities visually, we can create the following diagram: In the figure above, the squiggly lines are like elastic bands that can stretch or contract.

Case 1: Here, the ordering from left to right is as follows:
b < a < d < c < e
In this case, the median is d.

Case 2: Here, the ordering from left to right is as follows:
b < d < a < c < e
In this case, the median is a.

Since the median can be different values, the two statements combined are INSUFFICIENT.

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Re: Is the median of the five numbers a,b,c,d,e and e equal to d?  [#permalink]

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AbdurRakib wrote:
Is the median of the five numbers a,b,c,d and e equal to d?

(1) a<c<e
(2) b<d<c

OG Q 2017 New Question

St1 : a<c<e no info about b & d hence NS
St2 : b<d<c no info about a & e hence NS

choice A,B,D can be eliminated
Combining St1 & 2 : NS counter example can be as following:
b<d<a<c<e ( d is not median)

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Re: Is the median of the five numbers a,b,c,d,e and e equal to d?  [#permalink]

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AbdurRakib wrote:
Is the median of the five numbers a,b,c,d and e equal to d?

(1) a<c<e
(2) b<d<c

OG Q 2017 New Question

From statement 1) a < c < e

it could be a + b + d + c + e, here d is the median.

it could also be a + d + b + c + e here b is the median. insufficient.

Eliminate A/D

Check statement 2) b < d < c

b + d + c + a + e here c is the median

it could be a + b + d + c + e here d is the median.

insufficient.

now try combining (1) and (2)

it could be a + b + d + c + e here d is the median.

or it could be b + d + a + c + e here a is the median.

Insufficient.

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Re: Is the median of the five numbers a,b,c,d,e and e equal to d?  [#permalink]

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_________________ Re: Is the median of the five numbers a,b,c,d,e and e equal to d?   [#permalink] 24 Jan 2020, 06:49
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