Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Set A consists of 40 integers, [#permalink]
26 Jan 2016, 01:02
Expert's post
00:00
Question Stats:
77% (00:40) correct
22% (00:19) wrong based on 54 sessions
Set A consists of 40 integers, and set B consists of 150 integers. The number of integers that are in both set A and set B is 20.
Quantity A
Quantity B
The total number of integers that are in set A or set B, or both
170
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
Practice Questions Question: 4 Page: 465 Difficulty: hard
Re: Set A consists of 40 integers, [#permalink]
26 Jan 2016, 01:14
Expert's post
Solution
given that the number of integers in set A is 40, the number of integers in set B is 150, and the number of integers that are in both A and B is 20. You are asked to compare the total number of integers that are in set A or set B, or both, with 170.
The following Venn diagram is a representation of the integers in sets A and B.
Redrawing the Venn diagram so that the numbers are separated into three categories: the integers in A only, the integers in B only, and the integers in both A and B. The revised Venn diagram follows.
We observe that summing the numbers of integers in set A only, set B only, and both A and B yields the total number of integers that are in set A or set B, or both. Therefore, Quantity A is 20+130+20, or 170, and the correct answer is Choice C.
Re: Set A consists of 40 integers, [#permalink]
04 Oct 2016, 08:39
1
This post received KUDOS
Also, the formula for total number of items in sets A and B is Total = A + B - A and B. We are given A, B and A and B in the question, so you can plug in the numbers 40 + 150 - 20 = 170, so the answer is C. This saves the time required for drawing venn diagrams.
Re: Set A consists of 40 integers, [#permalink]
28 Jul 2017, 12:47
Expert's post
sandy wrote:
Set A consists of 40 integers, and set B consists of 150 integers. The number of integers that are in both set A and set B is 20.
Quantity A
Quantity B
The total number of integers that are in set A or set B, or both
170
Another approach is to use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). Here, we have a population of integers, and the two characteristics are: - in Set A or not in Set A - in Set B or not in Set B
So, we can set up our diagram as follows:
Since there are 20 integers that are in BOTH set A and set B, we can add that to the diagram...
This allows us to fill in two other boxes...
Notice that we don't have enough information to fill in the last box, which means we also don't know the total number of integers combined. HOWEVER, we don't need this information.
Quantity A = The total number of integers that are in set A or set B, or both Notice that the 3 highlighted boxes represent integers that are in set A or set B, or both So, Quantity A = 20 + 20 + 130 = 170
So, Quantity A = Quantity B Answer: C
RELATED VIDEO
_________________
Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Dayemails
close
77% (00:40) correct
