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.
Apr 2301:30 AM EDT
-02:30 AM EDT
Struggling with GMAT Verbal as a non-native speaker? Harsh improved his score from 595 to 695 in just 45 days—and scored a 99 %ile in Verbal (V88)! Learn how smart strategy, clarity, and guided prep helped him gain 100 points.
Apr 2212:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2308:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
03 Dec 2020, 02:00
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
67% (03:13) correct
33%
(03:25)
wrong
based on 245
sessions
History
Date
Time
Result
Not Attempted Yet
12 men cam complete a piece of work in 36 days, 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only women were to complete the remaining piece of work in 4 day, how many women would be required?
A. 70
B. 66
C. 40
D. 34
E. 28
A. 70
B. 66
C. 40
D. 34
E. 28
Method 1: Using efficiency
We will find the efficiency of a men and a women;
\(\text{Total work} = 12\times m \times 36 = 18 \times w \times 60\), whereas m = mens and w = womens.
\(\Longrightarrow \dfrac{m}{w} = \dfrac{18\times 60}{12 \times 36} = \dfrac{5}{2}\)
Hence, the efficiency of \(m = 5 ,\ \ w=2\).
Find the total work, subtitute the efficency in any of the above equations, i.e. \((12\times m \times 36)\) or \((18 \times w \times 60) \)
\(TW = 12 \times 5 \times 36 = 2160\), TW = Total work
In \(20\) days, work completed by \(8\) men and \(20\) women is \(= (8m+20w)\times 20 = (8 \times 5 + 20 \times 2) \times 20 = (40+40) \times 20 = 1600\)
Therefore, remaining work \( = 2160 - 1600 = 560\). Now, this work is completed by \(X \) women in \(4\) days i.e \(X \times 4 \times 2 = 8\cdot X\) (whereas 2 is the efficiency of a women)
Subtituting, \(8\cdot X = 560\)
\(X=\dfrac{560}{8} = 70\)
Hence, Ans A
We will find the efficiency of a men and a women;
\(\text{Total work} = 12\times m \times 36 = 18 \times w \times 60\), whereas m = mens and w = womens.
\(\Longrightarrow \dfrac{m}{w} = \dfrac{18\times 60}{12 \times 36} = \dfrac{5}{2}\)
Hence, the efficiency of \(m = 5 ,\ \ w=2\).
Find the total work, subtitute the efficency in any of the above equations, i.e. \((12\times m \times 36)\) or \((18 \times w \times 60) \)
\(TW = 12 \times 5 \times 36 = 2160\), TW = Total work
In \(20\) days, work completed by \(8\) men and \(20\) women is \(= (8m+20w)\times 20 = (8 \times 5 + 20 \times 2) \times 20 = (40+40) \times 20 = 1600\)
Therefore, remaining work \( = 2160 - 1600 = 560\). Now, this work is completed by \(X \) women in \(4\) days i.e \(X \times 4 \times 2 = 8\cdot X\) (whereas 2 is the efficiency of a women)
Subtituting, \(8\cdot X = 560\)
\(X=\dfrac{560}{8} = 70\)
Hence, Ans A
03 Dec 2020, 05:10
Kudos
Bookmarks
Bunuel
12 men take 36 days
12 men in 1 day do \(\frac{1}{36}\) th of the work
1 man in 1 day does \(\frac{1}{12*36}\)
8 men in 1 day does \(8 * \frac{1}{12 * 36} = \frac{1}{54}\)
18 women take 60 days
18 women in 1 day do \(\frac{1}{60}\) th of the work
1 woman in 1 day does \(\frac{1}{18*60}\)
20 women in 1 day does \(20 * \frac{1}{18 * 60} = \frac{1}{54}\)
8 men and 20 women in 1 day does \(\frac{1}{54} + \frac{1}{54} = \frac{1}{27}\)th of the work
Work done in 20 days = \(20 * \frac{1}{27} = \frac{20}{27}\)th of the work
The remaining work = 1 - \(\frac{20}{27} = \frac{7}{27}\)
Using the concept of MAN DAYS = \(\frac{M_1 * T_1}{W_1} = \frac{M_2 * T_2}{W_2}\)
M1 = 1, T1 = 1, W1 = Work done by 1 woman in 1 day\(\frac{1}{18 * 60}\)
M2 = x, T1 = 4, W2 = Work done by x woman in 4 days to finish\(\frac{7}{27}\)th of the work
\(\frac{1 * 1}{\frac{1}{18*60}} = \frac{x * 4}{\frac{7}{27}}\)
\(18 * 60 = \frac{x * 4 * 27}{7}\)
\(x = \frac{18 * 60 * 7}{4 * 27} = 70\)
Option A
Arun Kumar
