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Bunuel
omersanjay
There are 35 students in a college lecture theater. What is the ratio of male students to female students in the lecture theater?

(1) There are 10 male students in the lecture theater.

(2) If the number of male students in the lecture theater was doubled, the ratio of male students to female students in the lecture theater would be 4 to 5.


This might sound silly. Is it same to assume that GMAT only considers Male and Female genders?

For example, the DS question below

Is it safe to assume (1) is sufficient?

There are 35 students in a college lecture theater. What is the ratio of male students to female students in the lecture theater?

(1) There are 10 male students in the lecture theater.

This implies that there are 24 females, thus the ratio is 10/25. Sufficient.


(2) If the number of male students in the lecture theater was doubled, the ratio of male students to female students in the lecture theater would be 4 to 5.

The statement tells us that 2m/f = 4/5. Together with m + f = 35 we have two distinct linear equations, so we can solve for m and f and get the ratio. Sufficient.

Answer: D.

P.S. Yes, you can consider only two genders.


Bunuel
since we know 2m/f=4/5
can we just simplify this equation to find m/f? we can cut 4 by 2 and we get the answer. Can we do that?

Posted from my mobile device
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Bunuel
omersanjay
There are 35 students in a college lecture theater. What is the ratio of male students to female students in the lecture theater?

(1) There are 10 male students in the lecture theater.

(2) If the number of male students in the lecture theater was doubled, the ratio of male students to female students in the lecture theater would be 4 to 5.


This might sound silly. Is it same to assume that GMAT only considers Male and Female genders?

For example, the DS question below

Is it safe to assume (1) is sufficient?

There are 35 students in a college lecture theater. What is the ratio of male students to female students in the lecture theater?

(1) There are 10 male students in the lecture theater.

This implies that there are 24 females, thus the ratio is 10/25. Sufficient.


(2) If the number of male students in the lecture theater was doubled, the ratio of male students to female students in the lecture theater would be 4 to 5.

The statement tells us that 2m/f = 4/5. Together with m + f = 35 we have two distinct linear equations, so we can solve for m and f and get the ratio. Sufficient.

Answer: D.

P.S. Yes, you can consider only two genders.


Bunuel
since we know 2m/f=4/5
can we just simplify this equation to find m/f? we can cut 4 by 2 and we get the answer. Can we do that?

Posted from my mobile device

Yes, sure. We don't need the values of am and f.
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Bunuel
I think we have to solve for m and f for option B. Because if the values of m and f comes out to be in fraction and not integer then the answer would be A and not D. Am in right?
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smilesingh
Bunuel
I think we have to solve for m and f for option B. Because if the values of m and f comes out to be in fraction and not integer then the answer would be A and not D. Am in right?

I am definitely curious of this too. thanks
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keykers1
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Bunuel
I think we have to solve for m and f for option B. Because if the values of m and f comes out to be in fraction and not integer then the answer would be A and not D. Am in right?

I am definitely curious of this too. thanks

m and f there are the numbers of male and female students, so they cannot be fractions. If the system of equations in (2) were to give non-integer solutions for m and f, then it would mean that the question is flawed.
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