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chetan2u Bunuel can we not find this just using A? Why is the answer not simply 40% when we know that out of all the people who drove, 60% parked in the parking lot and so 40% (out of all the people that drove) did not park in the parking lot..?
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chetan2u Bunuel can we not find this just using A? Why is the answer not simply 40% when we know that out of all the people who drove, 60% parked in the parking lot and so 40% (out of all the people that drove) did not park in the parking lot..?

Hi

The question stem and option A are not talking of exactly same set of people. The question is asking about the % of total people(X) who drove and parked their car at x location, while statement one talks of % of people who drove to home(Y)
X consists of Y and others who do not drive to office.

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IMO Answer should be C since the people who didn't drove to office will not park hence we can determine the percentage of people who drove but didn't park with the 2 statements given.­
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­What percentage of people drove to the office but did not park in its parking lot?

1) 60% of the people in the office bulding that drove to the office, parked in its parking lot.
2) 48% of the people in the office building parked in its parking lot.­

Let T be total no of people in the office (Refer the attached table)

As per (1) 60% people that drove to office parked in parking lot, also 40% did not.
This gives us the first column, assuming X people drove to office.

We need 0.4X/T (Drove to office, but did not use parking lot)
Not getting from Statement (1)

As per (2) we get the 3rd column
(0.6X is not equal to 0.48T, there can be people who did not drive to the office but used the parking lot)

1) 60% of the people in the office bulding that drove to the office (Mentioned drove to office), parked in its parking lot.
2) 48% of the people in the office building parked (not mentioned whether drove to office or did not drive to office) in its parking lot.­

So with Statement (2) alone and combined with (1) we are not getting X/T

Hence,

Correct Option: E­
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I thought the answer is E but after some thought, it turns out to be a good question.

The answer is C

If we make the grid

_______ D____~ D______
__P___0.6x___ A_____ 48%
~ P___0.4x____B_____ 52%
________x _____Y_____100%


Now if we see, those didnt drive, obviously didnt park it. So A becomes 0

And hence 0.6x = 48%

And there we get the percent of people who drove but did not park.­
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­@chetan2u Bunuel - For the folks who did not drive to office won't be using the parking lot. Can we assume this? If yes, then the answer should be C­
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Bunuel chetan2u - Still confused if answer is C or E - please confirm - not sure how experts global content quality is.
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Bunuel chetan2u - Still confused if answer is C or E - please confirm - not sure how experts global content quality is.

To get answer C, you have to interpret “parked in the office parking lot” as something only drivers can do, so if someone did not drive, then that person also did not park there.

If you instead allow that some people who did not drive could still park in the parking lot, then the two statements are no longer sufficient, and the answer is E.

The question is sloppy. Ignore it.

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