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In a class 60% of the students wear glasses and 50% of the students ar

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In a class 60% of the students wear glasses and 50% of the students ar  [#permalink]

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New post Updated on: 25 May 2018, 07:30
1
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

36% (00:37) correct 64% (01:21) wrong based on 28 sessions

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In a class 60% of the students wear glasses and 50% of the students are of short height. If 10% of the students have neither short height nor wear glasses, how many students are there in the class?

(1) 15 students are of short height but do not wear glasses.

(2) 140 students have exactly one of the two effects.

Originally posted by failatmath on 25 May 2018, 07:25.
Last edited by Bunuel on 25 May 2018, 07:30, edited 1 time in total.
Renamed the topic and edited the question.
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Re: In a class 60% of the students wear glasses and 50% of the students ar  [#permalink]

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New post 25 May 2018, 09:40
Dear bunuel,
can you please explain statement 2?

i am unable to get answer as D

i think the first statement is sufficient.

Thanks
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Re: In a class 60% of the students wear glasses and 50% of the students ar  [#permalink]

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New post 26 May 2018, 06:36
Bunuel VeritasPrepKarishma please help with the solution.
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Re: In a class 60% of the students wear glasses and 50% of the students ar  [#permalink]

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New post 26 May 2018, 08:15
In a class 60% of the students wear glasses and 50% of the students are of short height. If 10% of the students have neither short height nor wear glasses, how many students are there in the class?

(1) 15 students are of short height but do not wear glasses.

(2) 140 students have exactly one of the two effects.

The answer is D in the sense that both statement 1 and statement 2 give an answer, however this is an erroneous question because the statements contradict each other by giving different numbers for how many students are in the class. Statement 1 says there are 50 kids(.3T = 15) in the class while statement 2 says there are 200 kids in the class(.7T = 140). Check to make sure the given numbers are correct.
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Re: In a class 60% of the students wear glasses and 50% of the students ar  [#permalink]

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New post 26 May 2018, 08:20
arosman
hi adam could you please explain how you got 0.7T=140
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Re: In a class 60% of the students wear glasses and 50% of the students ar  [#permalink]

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New post 26 May 2018, 16:43
1
failatmath wrote:
arosman
hi adam could you please explain how you got 0.7T=140



For sure! See attachment
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Screen Shot 2018-05-26 at 6.41.46 PM.png
Screen Shot 2018-05-26 at 6.41.46 PM.png [ 160.62 KiB | Viewed 425 times ]


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University of Chicago Booth School of Business, Class of 2020
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Re: In a class 60% of the students wear glasses and 50% of the students ar  [#permalink]

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New post 03 Jul 2018, 09:16
We can do this via a other method also

Lets calculate common part
Number below are in percentage
A for glasses
B for short height


Total-Neither=A+B -acommon b
100-10=50+60- a common b
Acommonb=20

Means Only A=40
Only B=30
Common a b=20

1) 15 corresponds to 30 percent of total i.e
Only B
So total is known
Sufficient

2) 140 correspond to only a and only b i.e. 70 percent of total means total is 200
Sufficient

D is answer

Give kudos if it helps

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Re: In a class 60% of the students wear glasses and 50% of the students ar &nbs [#permalink] 03 Jul 2018, 09:16
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