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nazar · 07-06-2008, 05:35 AM

20% of male said that they have Master degree and 75% of Female said that they have Master degree. 30% of total people said that they have Master degree. What fraction of female have Master degree?

Please explain.

nazar · 07-06-2008, 02:35 PM

Would any one explain??

rockerz · 07-06-2008, 03:10 PM

Either i m totally lost here or this question is just messing with u.

If i read correctly, its already given that 75% of females hve a master degree..tats wat the question asks..isnt it jus 3/4..

gmat731 · 07-06-2008, 03:41 PM

Total No of males = M
Total No of females = F

Given % of master degree M&F,
20% of M = 0.2M
75% of F = 0.75F

Also 30% of total have master degree
0.3T= 0.3(M+F)

So,
0.2M+0.75F = 0.3(M+F)
F=2*M/9
or F/T=2/11

nazar · 07-06-2008, 05:13 PM

Thanks for explanation.
But the answer is 3/22.

gmat731 · 07-06-2008, 07:13 PM

Whats the source of this problem? How bankable is the OA?

ASKajan · 07-06-2008, 09:28 PM

I don't think we have the correct question. I doubt the GMAT would say 75% of females have a masters degree and then ask what fraction of females have a masters degree...

ram_ram · 07-10-2008, 09:22 AM

The Q shld read as What fraction of female in the total pop. have Master degree

Let T be the total population;M=Males,F=Females..
Therefore T=M+F

Males with Master Degree = 0.2M
Females with Master Degree = 0.75F
So Total Pop. with mas. Deg = 0.3T=0.3(M+F)

0.3(M+F) = 0.2M+ 0.75F
0.3M+0.3F=0.2M+0.75F
0.1M=0.45F
M=4.5F

coming to Q,

0.75F/T
0.75F/M+F
0.75F/4.5F+F
0.75F/5.5F
75/550
3/22

GmatG · 07-10-2008, 10:37 AM

Quote:

Originally Posted by ram_ram

The Q shld read as What fraction of female in the total pop. have Master degree

Let T be the total population;M=Males,F=Females..
Therefore T=M+F

Males with Master Degree = 0.2M
Females with Master Degree = 0.75F
So Total Pop. with mas. Deg = 0.3T=0.3(M+F)

0.3(M+F) = 0.2M+ 0.75F
0.3M+0.3F=0.2M+0.75F
0.1M=0.45F
M=4.5F

coming to Q,

0.75F/T
0.75F/M+F
0.75F/4.5F+F
0.75F/5.5F
75/550
3/22

IMO 3/22 Same way as above

ddyno · 07-10-2008, 01:40 PM

I got 3/22 as well. Same approach. But the Q does not look like a vaild Gmat Q.

07-06-2008, 05:35 AM	#1 (permalink)
nazar Within my grasp! Join Date: Dec 2006 Posts: 381	Math Gurus Help please!!! 20% of male said that they have Master degree and 75% of Female said that they have Master degree. 30% of total people said that they have Master degree. What fraction of female have Master degree? Please explain.

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07-06-2008, 02:35 PM	#2 (permalink)
nazar Within my grasp! Join Date: Dec 2006 Posts: 381	Would any one explain??

07-06-2008, 03:10 PM	#3 (permalink)
rockerz Within my grasp! Join Date: Jun 2008 Posts: 220	Either i m totally lost here or this question is just messing with u. If i read correctly, its already given that 75% of females hve a master degree..tats wat the question asks..isnt it jus 3/4..

07-06-2008, 03:41 PM	#4 (permalink)
gmat731 get'in it within grasp Join Date: Jun 2008 Location: Farmington, MI Posts: 84	Total No of males = M Total No of females = F Given % of master degree M&F, 20% of M = 0.2M 75% of F = 0.75F Also 30% of total have master degree 0.3T= 0.3(M+F) So, 0.2M+0.75F = 0.3(M+F) F=2*M/9 or F/T=2/11

07-06-2008, 05:13 PM	#5 (permalink)
nazar Within my grasp! Join Date: Dec 2006 Posts: 381	Thanks for explanation. But the answer is 3/22.

07-06-2008, 07:13 PM	#6 (permalink)
gmat731 get'in it within grasp Join Date: Jun 2008 Location: Farmington, MI Posts: 84	Whats the source of this problem? How bankable is the OA?

07-06-2008, 09:28 PM	#7 (permalink)
ASKajan Within my grasp! Join Date: Jun 2004 Location: Jacksonville, Florida Posts: 143	I don't think we have the correct question. I doubt the GMAT would say 75% of females have a masters degree and then ask what fraction of females have a masters degree...

07-10-2008, 09:22 AM	#8 (permalink)
ram_ram Trying to make mom and pop proud Join Date: May 2008 Posts: 23	The Q shld read as What fraction of female in the total pop. have Master degree Let T be the total population;M=Males,F=Females.. Therefore T=M+F Males with Master Degree = 0.2M Females with Master Degree = 0.75F So Total Pop. with mas. Deg = 0.3T=0.3(M+F) 0.3(M+F) = 0.2M+ 0.75F 0.3M+0.3F=0.2M+0.75F 0.1M=0.45F M=4.5F coming to Q, 0.75F/T 0.75F/M+F 0.75F/4.5F+F 0.75F/5.5F 75/550 3/22

07-10-2008, 01:40 PM	#10 (permalink)
ddyno Eager! Join Date: Jun 2008 Posts: 60	I got 3/22 as well. Same approach. But the Q does not look like a vaild Gmat Q.

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