In a taste test conducted for coffee brands X and Y, if each of the 1,

Question

In a taste test conducted for coffee brands X and Y, if each of the 1,600 people polled voted for either X or Y (but not both), what percent of the males voted for brand Y?

(1) Forty percent of the females polled voted for brand X.
(2) Sixty-five percent of the males voted for brand X.

chetan2u · Answer

(1) Forty percent of the females polled voted for brand X.
Nothing about males... insuff
(2) Sixty-five percent of the males voted for brand X.
suff as remaining 35% would have voted for Y...suff
ans B

eudong · Answer

Solution:

Let m = number of males, and let f = number of females. Let number of males who voted for brand Y be y.

Statement I:

Males Females Sum
X 0.4f 
Y y 
Sum m f 1600

From above table, it is not possible to find y. Hence not sufficient.

Statement II:

Males Females Sum
X 0.65m 
Y y 
Sum m f 1600

From above table, it follows that: 0.65m + y = m. --> y = 0.35m. --> 35% of males voted for brand Y. Hence, sufficient.

Answer: B

eudong · Answer

Bunuel or anyone who knows how,

How do you post tables on the forum?

The alignment of my tables get improperly adjusted each time I try to post.

thembaseeker · Answer

Statement (1) : Doesn't state anything about % of Male votes.
Not Suffuicient.

Statement (2): 65% of males voted for brand X hence rest of 35% of males voted for Y.

Sufficient.

Ans - B

Bunuel · Answer

Yes, you are right. It's better to attach a screenshot of a table.

GMATinsight · Answer

Answer: option B

Please check colour coding to understand the sequence of steps

BrainLab · Answer

I think the answer is B, see attachment
1) No Info about males Not Suff
2) As we only have people who voted for x or y noone who voted for Both or neither - 35% of males voted for Y

Bunuel · Answer

VERITAS PREP OFFICIAL SOLUTION:

Question Type: What Is the Value?  What percent of males in a certain poll voted for coffee Y?

Given information from the question stem: A total of 1,600 people voted. Each voted for X or Y. No one voted for both. And because you’re dealing with people/votes, the numbers for X and Y must be integers.

Statement 1 : 40% of females voted for brand X. This statement is not sufficient to tell you what percent of males voted for brand X. Not sufficient. The answer
will either be B, C, or E.

Statement 2 : 65% of the males voted for X. This statement might appear to be insufficient as it does not even talk about brand Y. However, since you know that there are only two brands, X and Y, the percent of males who chose X + he percent who chose Y must equal 100%. So if 65% chose X, the other 35% voted for Y. And since the question asks for the percent, not the actual number of males, 35% is sufficient.

The correct answer is B.

hdwnkr · Answer

Mx = Males who voted for X
My = Males who voted for Y
Fx = Females who voted for X
Fy = Females who voted for Y

Mx + My + Fx + Fy = 1600

TO find: Percent of Males who voted for Y

(1) Forty percent of the females polled voted for brand X.

that implies, 60% voted for Y. But what percent of 1600 are women. And what percent of men voted for the either?
No such info. Hence, Insufficient

(2) Sixty-five percent of the males voted for brand X.

So, 35 percent voted for Y. Enough to give the naswer "What percentage" of males voted for Y

Hence, B.

adkikani · Answer

Bunuel   VeritasPrepKarishma   niks18

Is voting for X and Y mutually exclusive?

From :  40% of females voted for brand X. , Can I not infer: 60% of females voted for brand Y and hence know % of males who voted for brand Y?
 % males = 40% 
See table of  BrainLab  above.

niks18 · Answer

Hi  adkikani

In the question stem is it mentioned that they voted for "either brand (but not both)". So this implies voting is exclusive. Hence if 65% male voted for brand x, then 35% of male must have voted for brand y. Hence Statement 2 is sufficient.

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In a taste test conducted for coffee brands X and Y, if each of the 1,

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