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Every man in a certain class either belongs to group A, belongs to gro 29 Sep 2015, 05:06
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45% (medium)

Question Stats:

65% (01:47) correct 35% (02:00) wrong based on 519 sessions

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Every man in a certain class either belongs to group A, belongs to group B, or belongs to both groups. 20% of group A consists of men and 65% of group B consists of men. What percentage of the two groups together is made up of men?

(1) Group A contains 50 people.

(2) Group B contains 100 people.
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E
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Every man in a certain class either belongs to group A, belongs to gro 29 Sep 2015, 05:26
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E - we don't know how many people belongs to both A&B
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Every man in a certain class either belongs to group A, belongs to gro 30 Sep 2015, 06:38
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I selected C in my first try but after reading it more closely I believe the answer is E. Please see below for explanation.

Every man in a certain class either belongs to group A, belongs to group B, or belongs to both groups. 20% of group A consists of men and 65% of group B consists of men. What percentage of the two groups together is made up of men?

0) It asks what percentage of the two groups together is made up of men?

If we are told men can belong to Group A, B or both groups. to find the percentage of men we need to know how many men are in the group and to find that we need to know how many men are there in group A, B and the intersection of the two groups.

(1) Group A contains 50 people.

Not sufficient. We can infer the number of Men in group A but nothing about group B or the intersection.

(2) Group B contains 100 people.

Not sufficient. We can infer the number of Men in group B but nothing about group A or the intersection.

(1+2)

Still not sufficient. We can infer the number of Men in group A and group B but we are not told anything about the intersection so not sufficient.

Answer E
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Every man in a certain class either belongs to group A, belongs to gro 06 Oct 2015, 05:44
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Bunuel
Every man in a certain class either belongs to group A, belongs to group B, or belongs to both groups. 20% of group A consists of men and 65% of group B consists of men. What percentage of the two groups together is made up of men?

(1) Group A contains 50 people.

(2) Group B contains 100 people.


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VERITAS PREP OFFICIAL SOLUTION:

Question Type: What Is the Value? What percentage of the combined total of groups A and B is comprised of men?

Given information from the question stem: Every man is either a member of Group A or Group B or both. So in Venn Diagram terms, the “Neither” category is empty, but there may very well be men who are in “Both” groups. 20% of Group A is men and 65% of Group B is men.

Statement 1: Group A contains 50 people. So the number of men in group A is 50(20%). So 10 men are in Group A. This is not sufficient since you do not know the number of men in Group B. Eliminate choices A and D.

Statement 2: Group B contains 100 people. The number of men in Group B is 100(65%) or 65 men. This is not sufficient since it does not tell you about group A. Eliminate choice B.

Together: It may appear that these two statements are sufficient when taken together. There are 10 men from Group A and 65 from Group B for a total of 75 men, right? Not necessarily. It is possible for some of the people in groups A and B to be in both groups. It is possible, for example that all 10 men in Group A are also in Group B. So instead of 75 men total there could be as few as 65. This means that you cannot get one specific value for the percentage of men. This is not sufficient. So the answer is E.
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Every man in a certain class either belongs to group A, belongs to gro 15 Mar 2016, 21:13
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Bunuel
Every man in a certain class either belongs to group A, belongs to group B, or belongs to both groups. 20% of group A consists of men and 65% of group B consists of men. What percentage of the two groups together is made up of men?

(1) Group A contains 50 people.

(2) Group B contains 100 people.


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i drew a double matrix chart..
A-> not A
B
Not B

we know that 0.2A = men
we know that 0.65B = men

now..statement 1 tells that A=50. so 10 are men. nothing about the group B or how many men are in both groups.
statement 2 - tells that B=100, or that 65 from group B are men, but nothing about A or how many men are in both groups.

1+2:
since we dont know how many men are in both groups, we can have 2 or even more cases, but I took the extremities:
all 10 men from A are in B as well - total number of men = 65
all 10 men from A are not in B - total number of men = 75.

but!!!
even if we knew how many men are in total, we DO NOT KNOW how many people are in total.
thus, we can have 116 total people, or we can have 117 total people, or 118, or 119.

so as we can see, even together, we cannot answer the question.
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Every man in a certain class either belongs to group A, belongs to gro 13 Nov 2025, 06:52
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