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

Question

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.

push12345 · Accepted Answer

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

Posted from my mobile device

anamikarai · Answer

Dear bunuel,
can you please explain statement 2?

i am unable to get answer as D

i think the first statement is sufficient.

Thanks

failatmath · Answer

Bunuel   VeritasPrepKarishma  please help with the solution.

alldaytestprep · Answer

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.

failatmath · Answer

arosman 
hi adam could you please explain how you got 0.7T=140

alldaytestprep · Answer

For sure! See attachment

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

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GMAT Data Sufficiency (DS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards