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Is b the Median?

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Source: — Data Sufficiency |
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by sl750 » Tue Oct 11, 2011 10:13 am
The two statements will be satisfied only a=b=c=0. So answer is C
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by smackmartine » Tue Oct 11, 2011 10:22 am
IMO C

Same reasoning as above!
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by n@resh » Tue Oct 11, 2011 10:56 am
winny wrote:Is 'b' the median of three numbers a, b and c?

1) a*c=b

2) a+c=b

Confused whether its C or E. Please help. Don't have the OA.
for a = -1 and c = 1/2 will satisfy! a+c = a*c
so, numbers -1/2,-1,1/2 then median: -1
also a = 0, b = 0, c = 0, median = 0

Clearly,not sufficient.

Hence E!
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by sl750 » Tue Oct 11, 2011 11:07 am
n@resh wrote:
winny wrote:Is 'b' the median of three numbers a, b and c?

1) a*c=b

2) a+c=b

Confused whether its C or E. Please help. Don't have the OA.
for a = -1 and c = 1/2 will satisfy! a+c = a*c
so, numbers -1/2,-1,1/2 then median: -1
also a = 0, b = 0, c = 0, median = 0

Clearly,not sufficient.

Hence E!
Isn't this a Yes/No question. Doesn't it suffice to say that in both cases b is the median, as opposed to asking what is the value of b?
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by shankar.ashwin » Tue Oct 11, 2011 11:10 am
n@resh wrote:
winny wrote:Is 'b' the median of three numbers a, b and c?

1) a*c=b

2) a+c=b

Confused whether its C or E. Please help. Don't have the OA.
for a = -1 and c = 1/2 will satisfy! a+c = a*c
so, numbers -1/2,-1,1/2 then median: -1
also a = 0, b = 0, c = 0, median = 0

Clearly,not sufficient.

Hence E!
For -1,-1/2,1/2 - Median would be -1/2(b) and not -1(a)
Hence C
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by n@resh » Tue Oct 11, 2011 11:16 am
sl750 wrote:
n@resh wrote:
winny wrote:Is 'b' the median of three numbers a, b and c?

1) a*c=b

2) a+c=b

Confused whether its C or E. Please help. Don't have the OA.
for a = -1 and c = 1/2 will satisfy! a+c = a*c
so, numbers -1/2,-1,1/2 then median: -1
also a = 0, b = 0, c = 0, median = 0

Clearly,not sufficient.

Hence E!
Isn't this a Yes/No question. Doesn't it suffice to say that in both cases b is the median, as opposed to asking what is the value of b?
Oh, yeap...you are absolutely right @sl750. we no need to worry about the value.
Thanks for enlightening!
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by batamija » Fri Dec 02, 2011 4:09 pm
The two statements will be satisfied only a=b=c=0. So answer is C
Consider the following

Statement 1:
а*c=b
0*0=0 b=0 => median
2*2=4 b=4 => not
hence NOT SUFFICIENT

Statement 2:
a+c=b
same cases as (1) apply.
0+0=0 and 2+2=4
hence, NOT SUFFICIENT

Together,
b=a=c=0 hence yes,
b=4 a=c=2 hence, not

Thus,
[spoiler] E BOTH INSUFFICIENT.
[/spoiler]
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