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

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Intern
Joined: 20 Apr 2018
Posts: 9
In a class 60% of the students wear glasses and 50% of the students ar  [#permalink]

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Updated on: 25 May 2018, 06:30
1
00:00

Difficulty:

65% (hard)

Question Stats:

36% (01:15) correct 64% (02:43) 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, 06:25.
Last edited by Bunuel on 25 May 2018, 06:30, edited 1 time in total.
Renamed the topic and edited the question.
Intern
Joined: 25 May 2018
Posts: 2
Re: In a class 60% of the students wear glasses and 50% of the students ar  [#permalink]

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25 May 2018, 08:40
Dear bunuel,
can you please explain statement 2?

i am unable to get answer as D

i think the first statement is sufficient.

Thanks
Intern
Joined: 20 Apr 2018
Posts: 9
Re: In a class 60% of the students wear glasses and 50% of the students ar  [#permalink]

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26 May 2018, 05:36
Manager
Affiliations: All Day Test Prep
Joined: 08 May 2018
Posts: 70
Location: United States (IL)
Schools: Booth '20 (A)
GMAT 1: 770 Q51 V49
GRE 1: Q167 V167
GPA: 3.58
Re: In a class 60% of the students wear glasses and 50% of the students ar  [#permalink]

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26 May 2018, 07:15
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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Intern
Joined: 20 Apr 2018
Posts: 9
Re: In a class 60% of the students wear glasses and 50% of the students ar  [#permalink]

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26 May 2018, 07:20
arosman
Manager
Affiliations: All Day Test Prep
Joined: 08 May 2018
Posts: 70
Location: United States (IL)
Schools: Booth '20 (A)
GMAT 1: 770 Q51 V49
GRE 1: Q167 V167
GPA: 3.58
Re: In a class 60% of the students wear glasses and 50% of the students ar  [#permalink]

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26 May 2018, 15:43
1
failatmath wrote:
arosman

For sure! See attachment
Attachments

Screen Shot 2018-05-26 at 6.41.46 PM.png [ 160.62 KiB | Viewed 707 times ]

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Joined: 02 Oct 2017
Posts: 728
Re: In a class 60% of the students wear glasses and 50% of the students ar  [#permalink]

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03 Jul 2018, 08:16
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

Give kudos if it helps

Posted from my mobile device
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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, 08:16
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