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Steve spent a total of $36 on transportation for 3 days. What was his

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Steve spent a total of $36 on transportation for 3 days. What was his  [#permalink]

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New post 09 Sep 2014, 23:05
2
6
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

59% (01:24) correct 41% (01:00) wrong based on 98 sessions

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Steve spent a total of $36 on transportation for 3 days. What was his median expenditure?

(1) On day 3, he spent $8
(2) On day 1, he spent $12.


Source: 4Gmat
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Re: Steve spent a total of $36 on transportation for 3 days. What was his  [#permalink]

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New post 09 Sep 2014, 23:45
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alphonsa wrote:
Steve spent a total of $36 on transportation for 3 days. What was his median expenditure?
1) On day 3, he spent $8
2) On day 1, he spent $12.


Source: 4Gmat







I got C. Can someone please explain?


Statement 1 alone is not sufficient.

Statement 2: On day 1, he spent $12.

Total $36 for 3 days.

If on one day he spent $12, he must have spent 36 - 12 = 24 on other two days together. In how many ways can you split 24 into two?
Either both numbers could be equal to 12 each (which is half of 24) or one will be less than 12 and the other will be greater than 12. In either case, when you write all 3 numbers in ascending order, 12 will be in the middle.

e.g. 24 = 12+12
3 day spending -> 12, 12, 12
or
24 = 2 + 22
3 day spending -> 2, 12, 22
and so on...

In all cases, 12 will be in the middle and hence will be the median.

Answer (B)
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Re: Steve spent a total of $36 on transportation for 3 days. What was his  [#permalink]

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New post 14 Feb 2019, 20:09
alphonsa wrote:
Steve spent a total of $36 on transportation for 3 days. What was his median expenditure?

(1) On day 3, he spent $8
(2) On day 1, he spent $12.


Source: 4Gmat


From 1 Money spent on day 3 is given,

Now the expenditure for 3 days can be 19,9,8 or 20,8,8

We will get different values for median

from 2, day 1 he spent 12, again we have to look for some numbers in which he had spent the money

12,10,14
12,12,12
9,12,25

In all these cases, we are getting 12 as the median value

B
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Re: Steve spent a total of $36 on transportation for 3 days. What was his   [#permalink] 14 Feb 2019, 20:09
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