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

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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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New post 30 Jun 2016, 13:12
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A
B
C
D
E

Difficulty:

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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

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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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New post 30 Jun 2016, 13:58
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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New post 01 Jul 2016, 07:39
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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New post 06 Jun 2018, 13:14
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:
Image
In the figure above, the squiggly lines are like elastic bands that can stretch or contract.

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

Case 2:
Image
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.

The correct answer is .
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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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New post 30 Sep 2018, 09:09
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

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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)

Hence answer is 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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New post 19 Oct 2018, 09:07
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.

Answer choice 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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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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