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At most 300 students at a certain college live in a hostel. If 10%

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Joined: 18 Feb 2019
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At most 300 students at a certain college live in a hostel. If 10%  [#permalink]

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New post 26 Mar 2019, 01:02
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Question Stats:

60% (01:54) correct 40% (01:35) wrong based on 15 sessions

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At most 300 students at a certain college live in a hostel. If 10% of the students at the college who live in hostel own a car, do the numbers of students who own a car is more than the number of students who live in a hostel?

I. 25 students at the college live in the hostel and own a car.
II. 25% of the students who live in the hostel is equal to the number of students who own a car.
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Re: At most 300 students at a certain college live in a hostel. If 10%  [#permalink]

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New post 26 Mar 2019, 15:32
The question is barely in English, but if I'm correctly understanding what it says: from Statement 1, we know 25 is 10% of the total number of people in a hostel, so we have 250 in a hostel, 25 of whom have a car. That's not sufficient, because we have no information about non-hostel people with cars, and we could have any number of those. Statement 2 tells you directly that the number of people with a car is 1/4 the number in a hostel, so the number with a car is smaller than the number in a hostel, and Statement 2 is sufficient.

The two statements aren't consistent, incidentally (if you use both together, you find that 62.5 people own a car, which makes no sense). But it's possible I'm not understanding the question correctly, because of the wording.
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Re: At most 300 students at a certain college live in a hostel. If 10%   [#permalink] 26 Mar 2019, 15:32
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At most 300 students at a certain college live in a hostel. If 10%

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