Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
GMAT Club Daily Prep
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!- Dec 17
09:00 AM PST
-10:00 AM PST
Join Manhattan Prep instructor Whitney Garner for a fun—and thorough—review of logic-based (non-math) problems, with a particular emphasis on Data Sufficiency and Two-Parts. - Dec 18
10:00 AM PST
-11:00 AM PST
Here is the essential guide to securing scholarships as an MBA student! In this video, we explore the various types of scholarships available, including need-based and merit-based options.
08 Dec 2018, 22:58
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
28% (02:19) correct
72%
(02:00)
wrong
based on 116
sessions
History
Date
Time
Result
Not Attempted Yet
A club has 80 members, each of which practice one or more of tennis, swimming and yoga. 41 practice tennis, 45 practice swimming while 49 practice yoga. How many practice all three activities?
(1) 35 practice exactly two activities out of the three.
(2) 35 practice exactly one activity out of the three.
(1) 35 practice exactly two activities out of the three.
(2) 35 practice exactly one activity out of the three.
08 Dec 2018, 23:54
Kudos
Bookmarks
amanvermagmat
A club has 80 members, each of which practice one or more of tennis, swimming and yoga. 41 practice tennis, 45 practice swimming while 49 practice yoga. How many practice all three activities?
(1) 35 practice exactly two activities out of the three.
(2) 35 practice exactly one activity out of the three.
(1) 35 practice exactly two activities out of the three.
(2) 35 practice exactly one activity out of the three.
Combined : Exactly one -35, exactly two-35, so exactly three would be 80-35-35=10.
two things-
1) What about the info - 41 practice tennis, 45 practice swimming while 49 practice yoga. . We have not used it at all.
2) Too easy a question for C, so could be a trap.
Advice : If short of time, and C is too obvious and each statement gives you a separate info, mark D.
let us draw Venn diagram ..
so \(a+b+c+d+e+f+g=80\).....(i)
from 41 practice tennis, 45 practice swimming while 49 practice yoga. , we get \((a+d+e+g)+(b+e+f+g)+(c+f+d+g)=41+45+49=135....... a+b+c+2(d+e+f)+3g=135....(ii)\)
we are looking for g.
(1) 35 practice exactly two activities out of the three.
\(a+b+c+d+e+f+g=80\).....\(a+b+c+35+g=80\).....\(a+b+c+g=80-35=45\).....(i)(i)
\(a+b+c+2(d+e+f)+3g=135...........a+b+c+2(35)+3g=135..........a+b+c+3g=135-70=65....(ii)\)
subtract i from ii... 2g=20...g=10
sufficient
(2) 35 practice exactly one activity out of the three.
\(a+b+c+d+e+f+g=80\).....\(35+d+e+f+g=80\).....\(d+e+f+g=80-35=45\).....(i)(i)
\(a+b+c+2(d+e+f)+3g=135...........35+2(d+e+f)+3g=135..........2(d+e+f)+3g=135-35=100....(ii)\)
multiply i with 2 and subtract from ii... g=100-2*45=10
sufficient
D
23 Jul 2019, 06:14
Kudos
Bookmarks
Hi,
When a Venn Diagram question asks us to find the overall intersection, the best way to solve the question is to visualize the regions of the Venn diagram rather than use variables to solve.
Let us break down the question here:
Capture 1.PNG [ 34.95 KiB | Viewed 2458 times ]
We have a + b + c + 2x = 55 and the question here asks us to find the value of x.
Statement 1: 35 practice exactly two activities out of the three.
Given a + b + c = 35
This clearly is sufficient to solve for x.
Statement 2: 35 practice exactly one activity out of the three.
Capture 2.PNG [ 31.96 KiB | Viewed 2397 times ]
We have a + b + c + x = 45 and from the question stem we have a + b + c + 2x = 55 ----> a + b + c + x + x = 55 ----> 45 + x = 55 ----> x = 10.
Sufficient.
Answer : D
When a Venn Diagram question asks us to find the overall intersection, the best way to solve the question is to visualize the regions of the Venn diagram rather than use variables to solve.
Let us break down the question here:
Attachment:
Capture 1.PNG [ 34.95 KiB | Viewed 2458 times ]
We have a + b + c + 2x = 55 and the question here asks us to find the value of x.
Statement 1: 35 practice exactly two activities out of the three.
Given a + b + c = 35
This clearly is sufficient to solve for x.
Statement 2: 35 practice exactly one activity out of the three.
Attachment:
Capture 2.PNG [ 31.96 KiB | Viewed 2397 times ]
We have a + b + c + x = 45 and from the question stem we have a + b + c + 2x = 55 ----> a + b + c + x + x = 55 ----> 45 + x = 55 ----> x = 10.
Sufficient.
Answer : D
