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by bblast » Tue Sep 06, 2011 3:06 am
Of the 75 people in the auditorium, how many are wearing blue shirts?

The number of people who are not wearing blue shirts is 4 times the number who are wearing blue shirts.
The number of people who are not wearing blue shirts is 45 more than the number who are wearing blue shirts.
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Source: — Data Sufficiency |
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by akhilsuhag » Tue Sep 06, 2011 3:14 am
Let people wearing blue be b; and people not wearing blue ben;

Now the prompt: b + n = 75

Statement 1: n= 4b

Put it in the prompt and we get b = 15 and n = 60

SUFFICIENT

Statement 2: n = b+45

Again put in the prompt and get b = 15 and n = 45

SUFFICIENT

So each statement is sufficient
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by cans » Tue Sep 06, 2011 5:53 am
let #blue shirts = n
thus n+4n=75 Sufficient
n+45+n=75 Sufficient.
IMO D
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by bblast » Tue Sep 06, 2011 7:34 am
Good job guys, I actually posted to see if anyone else interprets the problem statement differently. I also solved for D initially but then changed my answer because the prompt says :

"Of the 75 people in the auditorium, how many are wearing blue shirts? "

I erred because I was skeptical whether there were any people with red shirts in there . :P

@cans- back after a long hibernation ?
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by cans » Thu Sep 08, 2011 4:09 am
@bblast: yeah.. 3 months break i guess. :) back for a month and will be gone again. :)
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by prateek_guy2004 » Thu Sep 08, 2011 8:59 am
Of the 75 people in the auditorium, how many are wearing blue shirts?

The number of people who are not wearing blue shirts is 4 times the number who are wearing blue shirts.

Sufficient

The number of people who are not wearing blue shirts is 45 more than the number who are wearing blue shirts.

This statement looks sufficient but there are few exceptions who are wearing t shirts , it dosent fall under the blue shirts ...since its not mentioned anywhere that 75 people are wearing shirts only.

Please correct me if the approach isin't right here or may be i am over thinking the 2nd statement.
Don't look for the incorrect things that you have done rather look for remedies....

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by AbhiJ » Thu Sep 08, 2011 10:25 am
This problem is sufficient: take an Analogy.

Particles inside HBS + Particles outside HBS = Total Particles in universe. So you are wearing blue shirt or your are not. You can wear t shirt, red shirt or go shirtless, in all these cases you are not wearing a blue shirt.
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by prateek_guy2004 » Thu Sep 08, 2011 11:00 am
AbhiJ wrote:This problem is sufficient: take an Analogy.

Particles inside HBS + Particles outside HBS = Total Particles in universe. So you are wearing blue shirt or your are not. You can wear t shirt, red shirt or go shirtless, in all these cases you are not wearing a blue shirt.
Ya abhi i was over thinking the 2nd statement .....

Thanks for correcting me..!
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