Coffee Shop

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mksreeram: Senior | Next Rank: 100 Posts; Posts: 74; Joined: Sat Jun 14, 2008 4:46 am

by mksreeram » Fri Aug 15, 2008 8:24 pm

Isn't this question flawed.

It says answer is B since the statement 2 is sufficient to get the ratio.

Question Says
in a coffee shop 1/2 of the male and 2/5th of the female drinks coffee

Stement 2 says
Number of male drinks coffee is equal to number of female drinks tea.

1/2 M = 3/5 F (5/5 - 2/5 (coffee))
in turn
1/2 M = 2/5 F

Both are contradicting.

Let me know your comments.

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Source: Beat The GMAT — Data Sufficiency | Fri Aug 15, 2008 8:24 pm

sudhir3127: Legendary Member; Posts: 829; Joined: Mon Jul 07, 2008 10:09 pmFollowed by: 3 members; Location: INDIA; Thanked: 84 times

by sudhir3127 » Fri Aug 15, 2008 10:37 pm

i go with B
as it tell us that Number of male drinks coffee is equal to number of female drinks tea

i think there is no typo in the solution... tea = 2/5 hence coffee 1-2/5 = 3/5

it says y/2 = 3x/5...( y the number of males... X being number of females.)

if u divide the avove equation by X .. u will get

y/2x = 3/5

hence y/x = 6/5 ... which is the ratio..

hence B is sufficient,..

Hope it helps..

Last edited by sudhir3127 on Fri Aug 15, 2008 11:06 pm, edited 1 time in total.

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parallel_chase: Legendary Member; Posts: 1153; Joined: Wed Jun 20, 2007 6:21 amFollowed by: 2 members; Thanked: 146 times

by parallel_chase » Fri Aug 15, 2008 10:58 pm

Sudhir is absolutely right. But I dont think there is a typo

The statement says number of men who drink coffee = number of women who drink tea

Female coffee drinkers = 2/5
Female tea drinkers = 3/5

(1/2)M =(3/5)F

M/F = 6/5

Let me know if you think otherwise.

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mksreeram: Senior | Next Rank: 100 Posts; Posts: 74; Joined: Sat Jun 14, 2008 4:46 am

by mksreeram » Tue Aug 19, 2008 1:16 am

parallel_chase wrote:Sudhir is absolutely right. But I dont think there is a typo

The statement says number of men who drink coffee = number of women who drink tea

Female coffee drinkers = 2/5
Female tea drinkers = 3/5

(1/2)M =(3/5)F

M/F = 6/5

Let me know if you think otherwise.

Question says (ALL OF THE CUSTOMERS DRINK EITHER COFFEE OR TEA BUT NOT BOTH)
1/2 of the male customers drink coffee
2/5th of female customers drink coffee

Statement 2
number of male customers who drink coffee is equal to the number of female customers drinking tea which means
A) 1/2 of the male customers = 3/5th of the female customers
since 1/2 of the male drinks coffee the other half should drink only tea
So
B) 1/2 of the male customers = 2/5th of the female customers

which means
1/2(X) = 3/5(Y) and 1/2(X) = 2/5(Y)

This is a typo correct?

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California4jx: Master | Next Rank: 500 Posts; Posts: 227; Joined: Thu Aug 14, 2008 10:43 amFollowed by: 1 member; Thanked: 7 times; GMAT Score:650

by California4jx » Tue Aug 19, 2008 5:30 am

No, its not typo. Other solutions are good.

When we say all of the customers do either but not both means the SAME customer who drinks tea cannot drink coffee at the same time.

Here males are divided into two categories 1/2 for cofee and 1/2 for tea
similarly females are 2/5 for coffee and 3/5 for tea

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4meonly: Legendary Member; Posts: 891; Joined: Sat Aug 16, 2008 4:21 amFollowed by: 1 member; Thanked: 27 times; GMAT Score:660(

by 4meonly » Tue Aug 19, 2008 5:30 am

I would like to add why (1) alone is not sufficient

it gives us that F=M-1
Nothing about total number of M and F or proportion of M/F

Am I right?

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mksreeram: Senior | Next Rank: 100 Posts; Posts: 74; Joined: Sat Jun 14, 2008 4:46 am

by mksreeram » Tue Aug 19, 2008 5:39 am

California4jx wrote:No, its not typo. Other solutions are good.

When we say all of the customers do either but not both means the SAME customer who drinks tea cannot drink coffee at the same time.

Here males are divided into two categories 1/2 for cofee and 1/2 for tea
similarly females are 2/5 for coffee and 3/5 for tea

For Statement 2 to be sufficient we take that female customers drinking tea is 3/5 (question says 2/5 drink coffee so 1-2/5 = 3/5).

In the same way let us take male customers drinking tea is 1/2 (question says 1/2 drink coffee so 1-1/2 = 2/5)

This means that 1/2 male customers = 3/5 female customers (male drinking coffee and female drinking tea which you all agree to make stmt 2 sufficient)

We can also infer that 1/2 male customers = 2/5 female customers (male drinking tea and female drinking coffee).

Like you all assume 3/5 female customer drinking tea by 1-2/5 I assume 1/2 male customer drinking tea by 1-1/2.

I still don't understand why this logic is incorrect.

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California4jx: Master | Next Rank: 500 Posts; Posts: 227; Joined: Thu Aug 14, 2008 10:43 amFollowed by: 1 member; Thanked: 7 times; GMAT Score:650

by California4jx » Tue Aug 19, 2008 9:10 am

mksreeram wrote:
In the same way let us take male customers drinking tea is 1/2 (question says 1/2 drink coffee so 1-1/2 = 2/5)

We can also infer that 1/2 male customers = 2/5 female customers (male drinking tea and female drinking coffee). wrong assumption

2/5 above in your computation is a typo - right ?

Lets do it with numbers.

Say, there are M = 60 and F = 50
M-Coff = 30; and M-Tea = 30 [given is 1/2 and 1/2]
F-Tea = 30 since 3/5 (50); and F-Coff = 2/5(50) = 20

so M-Tea [30] <> F-Coff [20]

hope you are now clear ....

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mksreeram: Senior | Next Rank: 100 Posts; Posts: 74; Joined: Sat Jun 14, 2008 4:46 am

by mksreeram » Wed Aug 20, 2008 12:17 am

It is clear now. I somehow confused myself with 2/5 and 3/5 of female customers being same. was conceptually bad

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sudhir3127: Legendary Member; Posts: 829; Joined: Mon Jul 07, 2008 10:09 pmFollowed by: 3 members; Location: INDIA; Thanked: 84 times

Re: Coffee Shop

by sudhir3127 » Wed Aug 20, 2008 12:24 am

mksreeram wrote:Isn't this question flawed.

It says answer is B since the statement 2 is sufficient to get the ratio.

Question Says
in a coffee shop 1/2 of the male and 2/5th of the female drinks coffee

Stement 2 says
Number of male drinks coffee is equal to number of female drinks tea.

1/2 M = 3/5 F (5/5 - 2/5 (coffee))
in turn
1/2 M = 2/5 F

Both are contradicting.

Let me know your comments.

Moving the thread to DS section!!!

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