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.
Mar 2911:30 AM EDT
-12:30 PM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Mar 3005:30 AM PDT
-07:30 AM PDT
We know Strengthen and Weaken questions account for more than 50% of the CR questions on the GMAT. With CR becoming even more important on GMAT Focus, it's time you strengthen your weaknesses with an approach that improves your solving time and accuracy!
Mar 3011:00 AM IST
-01:00 PM IST
Attend this session to evaluate your current skill level, learn process skills, and solve through tough Arithmetic questions.
Mar 3110:00 AM EDT
-11:59 PM EDT
The Target Test Prep team has recently introduced TTP OnDemand GMAT, a 400-hour live masterclass video course created by Scott Woodbury-Stewart, founder and CEO of Target Test Prep.
Apr 0308:00 PM PDT
-09:00 PM PDT
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
19 Jan 2022, 07:15
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
61% (02:57) correct
39%
(03:05)
wrong
based on 99
sessions
History
Date
Time
Result
Not Attempted Yet
A recent survey examined the working arrangements of households of married couples with no children. It was found that 82% of the households had at least one working member. In 30% of the household with the women not working, the man also does not work. In 60% of the households in which the man doesn't work, the woman also does not work. What is the probability that both the man and the woman work?
A. 13%
B. 22%
C. 28%
D. 32%
E. 34%
A. 13%
B. 22%
C. 28%
D. 32%
E. 34%
19 Jan 2022, 23:30
Kudos
Bookmarks
Let the total number of households be 100, the number of households in which women don't work be 'x' and the number of households in which the men don't work be 'y'. Also, let the number of households where only women work be 'w', where only men work be 'm' and where both women and men work be 'mw'.
(1) The number of households where neither the man nor the woman work is 100 - 82 = 18.
(2) "In 30% of the households with the woman not working the man also doesn't work". So:
3x/10=18...> x=60. T/4, the number of households in which women work is 40.
(3) "In 60% of the households in which the man doesn't work, the woman also doesn't work". So:
3y/5=18...> y=30. T/4, the number of households in which men work is 60.
(m+mw)+(w+mw)=70+40=110
m+w+mw=82
mw=110-82=28
ANS: C
(1) The number of households where neither the man nor the woman work is 100 - 82 = 18.
(2) "In 30% of the households with the woman not working the man also doesn't work". So:
3x/10=18...> x=60. T/4, the number of households in which women work is 40.
(3) "In 60% of the households in which the man doesn't work, the woman also doesn't work". So:
3y/5=18...> y=30. T/4, the number of households in which men work is 60.
(m+mw)+(w+mw)=70+40=110
m+w+mw=82
mw=110-82=28
ANS: C
19 Jan 2022, 23:30
Kudos
Bookmarks
Let the total number of households be 100, the number of households in which women don't work be 'x' and the number of households in which the men don't work be 'y'. Also, let the number of households where only women work be 'w', where only men work be 'm' and where both women and men work be 'mw'.
(1) The number of households where neither the man nor the woman work is 100 - 82 = 18.
(2) "In 30% of the households with the woman not working the man also doesn't work". So:
3x/10=18...> x=60. T/4, the number of households in which women work is 40.
(3) "In 60% of the households in which the man doesn't work, the woman also doesn't work". So:
3y/5=18...> y=30. T/4, the number of households in which men work is 60.
(m+mw)+(w+mw)=70+40=110
m+w+mw=82
mw=110-82=28
ANS: C
(1) The number of households where neither the man nor the woman work is 100 - 82 = 18.
(2) "In 30% of the households with the woman not working the man also doesn't work". So:
3x/10=18...> x=60. T/4, the number of households in which women work is 40.
(3) "In 60% of the households in which the man doesn't work, the woman also doesn't work". So:
3y/5=18...> y=30. T/4, the number of households in which men work is 60.
(m+mw)+(w+mw)=70+40=110
m+w+mw=82
mw=110-82=28
ANS: C
