150 representatives of an organization participated in a survey. 50%

Question

150 representatives of an organization participated in a survey. 50% of all the representatives considered global warming as the biggest threat to earth. How many of the representatives were male?

(1) In the survey, 60 women concluded global warming as the biggest threat to earth.
(2) Among the representatives, 66.67% women and 25% men concluded global warming as the biggest threat to earth.

JerryAtDreamScore · Answer

Breaking Down the Info:

This is a 2 by 2 table question, but we will explain it without a table. We are given 75 people consider global warming as the biggest threat.

Statement 1 Alone:

Combined with the given information, we know that 15 men consider global warming as the biggest threat. We still need to know how many men do not consider global warming as the biggest threat. Insufficient.

Statement 2 Alone:

We don't know the breakdown of women and men or any of the subcategory squares for useful information. Insufficient.

Both Statements Combined:

The 15 men represent 25% of all men, so there are 60 men in total. Sufficient.

We can also double-check that the 60 women represent 66% of the total women, which refers to 90 women in total and the total population is indeed 150.

Answer: C

iamvishnu · Answer

From question stem =

male + female = 150

means, 66.67% of female and 25% of male = 75
m + f = 150
0.667f + 0.25m = 75
with two statemnts we can solve for F

Abulikabuli · Answer

Wrong: Take f=150-m and with st B only you can solve it. Ans. B is suff.

MURALIKA · Answer

Kindly confirm whether the answer is B or C. I got the answer C as statement 2 alone does not provide the breakup of men and women and hence we have to use both the statements to find the no of male representatives.

Bunuel · Answer

To know the correct answer, you can check under the spoiler in the original post. The answer is B.

From the stem, we have: 2/3 * w + 1/4 * m = 75

Statement (2) gives: w + m = 150

Solving these equations gives m = 60 and w = 90, making statement (2) sufficient.

belro · Answer

I see only two things given in the question stem, total = 150 and those who considered global warming as threat as 50% i.e. 75. The breakup of men and women is not given. I believe the answer should be C

Bunuel · Answer

From the stem w + m = 150
From the stem and (2): 2/3 * w + 1/4 * m = 150 * 1/2

The stem only gives totals, but statement (2) adds the missing detail: the percentages of men and women who chose global warming. Using that, you can form two equations, w + m = 150 and (2/3)w + (1/4)m = 75. Solving gives unique values for w and m, so statement (2) alone is sufficient. The answer is B, not C.

belro · Answer

ohh yea, my bad. thank you.

150 representatives of an organization participated in a survey. 50%

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