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Which of the following can be inferred from the information

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Which of the following can be inferred from the information [#permalink] New post 21 Mar 2018, 15:41
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Which of the following can be inferred from the information given in the chart?

I. More than 80 percent of the men in Congress are members of the House of Representatives.
II The percent of members who are categorized as farmers or ranchers is greater for the House of Representatives than for the Senate.
III. The median age in the Senate is 57.


(A) I only
(B) II only
(C) III only
(D) 1 and II
(E) I and III
[Reveal] Spoiler: OA

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Re: Which of the following can be inferred from the information [#permalink] New post 21 Mar 2018, 21:51
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I. The total men in the House of Representatives is 418, while all 100 senators are men. Thus, the fraction of males who are representatives is 418/518. Now, if the fraction had been 400/500, that would be exactly 80%. It's useful to know that if you ever increase a fraction's numerator and denominator by the same amount, that fraction approaches 1. Since we've added 18 to both the top and bottom of the fraction, it's approaching 1 from 80%, which means that it's above 80%. So this one is in.

II. The fraction of ranchers/farmers in the House is 14/435, while in the Senate it's 6/100. Rather than plug the first fraction into the calculator, let's just make the second fraction more closely resemble the first: if you multiply the denominator and numerator by 4, the Senate's fraction turns into 24/400. The denominator isn't quite the same, but it's pretty close, and we can see that the Senate's fraction of ranchers/farmers is already a lot larger than that of the House. So this one is out.

III. We know the youngest, oldest, and average age of the Senate. From this, we can determine the range of ages and that's about it. I suppose we could determine the total number of years lived by the Senate by multiplying the average by the 100 dudes in the Senate, but there's no way to figure out the median. So this one's out as well.
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Re: Which of the following can be inferred from the information [#permalink] New post 15 Dec 2018, 18:18
SherpaPrep wrote:
I. The total men in the House of Representatives is 418, while all 100 senators are men. Thus, the fraction of males who are representatives is 418/518. Now, if the fraction had been 400/500, that would be exactly 80%. It's useful to know that if you ever increase a fraction's numerator and denominator by the same amount, that fraction approaches 1. Since we've added 18 to both the top and bottom of the fraction, it's approaching 1 from 80%, which means that it's above 80%. So this one is in.

II. The fraction of ranchers/farmers in the House is 14/435, while in the Senate it's 6/100. Rather than plug the first fraction into the calculator, let's just make the second fraction more closely resemble the first: if you multiply the denominator and numerator by 4, the Senate's fraction turns into 24/400. The denominator isn't quite the same, but it's pretty close, and we can see that the Senate's fraction of ranchers/farmers is already a lot larger than that of the House. So this one is out.

III. We know the youngest, oldest, and average age of the Senate. From this, we can determine the range of ages and that's about it. I suppose we could determine the total number of years lived by the Senate by multiplying the average by the 100 dudes in the Senate, but there's no way to figure out the median. So this one's out as well.


What is not clicking in my mind is how you interpreted the following sentence:

"II The percent of members who are categorized as farmers or ranchers is greater for the House of Representatives than for the Senate, "

.. to mean that you are to take the percent of members of farmers or ranchers out of the number of males in the house or the senate. In my head, the sentence is ambiguous, and thus, is open to multiple interpretations. Please correct me if I am wrong.

First, "the percent of members who are categorized as farmers or ranchers" would mean the percent out of the total number of people there (538).

Where the percentage would be compared between the House of Representatives and for the Senate.
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Which of the following can be inferred from the information

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