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.
Jul 1703:00 PM IST
-11:00 AM IST
Start your journey with a fully customized action plan and work with a dedicated mentor to achieve a 735+ score.
Jul 1808:30 AM PDT
-09:30 AM PDT
Wondering how to craft compelling Career goals for your "Why MBA" essay? In this video, Gunjan Jhunjhunwala, seasoned MBA expert at The Red Pen, will walk you through how to: Define clear short-term and long-term goals, and more.
Jul 1410:00 AM PDT
-11:59 PM PDT
GMAT Preparation Online - A limited time sale use code: EXPERTSGLOBAL10- Jul 19
09:00 AM PDT
-11:00 AM PDT
Struggling to stay on time during Multi-Source Reasoning (MSR) questions on the GMAT? In this video, GMAT expert Karishma Bansal (founder of ANA Prep) breaks down a 3-minute scanning strategy that can help you save critical time... - Jul 19
11:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment 
Jul 1911:30 AM EDT
-12:30 PM EDT
Struggling to find the right strategies to score a 99 %ile on GMAT Focus? Riya (GMAT 715) boosted her score by 100-points in just 15 days! Discover how the right mentorship, tailored strategies, and an unwavering mindset can transform your GMAT prep.- Jul 20
10:00 AM PDT
-11:00 AM PDT
Join us in a live GMAT Verbal practice session to solve 10 tough questions from the Reading Comprehension section tested in the GMAT Verbal section. Take this quiz with other test takers in timed conditions. - Jul 22
10:00 AM PDT
-11:00 AM PDT
In our second video about test accommodations for the GMAT exam, GMAT Ninja’s founder chats with Jason Northrup, Test Accommodations Senior manager at GMAC, about the three main qualifying condition categories...
26 Feb 2021, 08:03
Kudos
Bookmarks
D
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% (02:56) correct
39%
(03:16)
wrong
based on 163
sessions
History
Date
Time
Result
Not Attempted Yet
A farmer has two plots of land of different sizes, and each plot of land consists of two different crops, corn, and wheat. In one plot, the ratio of corn to wheat by land area is 7 to 3, and in the other plot, the ratio of corn to wheat by land area is 11 to 4. If the ratio of corn to wheat by land area of the two plots combined is 24 to 9, what is the ratio of the total area of the smaller plot to the total area of the larger plot?
A) 2 to 5
B) 3 to 8
C) 1 to 4
D) 2 to 9
E) 3 to 16
A) 2 to 5
B) 3 to 8
C) 1 to 4
D) 2 to 9
E) 3 to 16
26 Feb 2021, 18:52
Kudos
Bookmarks
Let the 2 plots be P1 and P2
By the theory of compound mixtures, when V1 Volume/Quantity of a mixture of X and Y which is in the ratio a : b is mixed with V2 Volume/Quantity of another mixture X and Y (i.e the constituents of the 2 mixtures are the same in the ratio p : q, then the final ratio of the constituents is given by
\(\frac{X}{Y}\) = \(\frac{X \space from \space V_1 + X \space from \space V_2 }{Y \space from \space V_1 + Y \space from \space V_2} = \frac{(\frac{a}{a + b})*V_1 + (\frac{p}{p + q})*V_2}{(\frac{b}{a + b})*V_1 + (\frac{q}{p + q})*V_2}\)
\(\frac{24}{9} = \frac{(\frac{11}{11 + 4})*P_1 + (\frac{7}{7 + 3})*P_2}{(\frac{4}{11 + 4})*P_1 + (\frac{3}{7 + 3})*P_2}\)
\(24 * (\frac{4}{15} * P_1 + \frac{3}{10} * P_2) = 9 * (\frac{11}{15} * P_1 + \frac{7}{10} * P_2)\)
\(\frac{72}{10} * P_2 - \frac{63}{10} * P_2 = \frac{99}{15} * P_1 - \frac{96}{15} * P_1 \)
\(\frac{9}{10} * P_2 = \frac{3}{15} * P_1\)
\(\frac{P_2}{P_1} = \frac{3}{15} * \frac{10}{9} = \frac{2}{9}\)
Option D
Arun Kumar
By the theory of compound mixtures, when V1 Volume/Quantity of a mixture of X and Y which is in the ratio a : b is mixed with V2 Volume/Quantity of another mixture X and Y (i.e the constituents of the 2 mixtures are the same in the ratio p : q, then the final ratio of the constituents is given by
\(\frac{X}{Y}\) = \(\frac{X \space from \space V_1 + X \space from \space V_2 }{Y \space from \space V_1 + Y \space from \space V_2} = \frac{(\frac{a}{a + b})*V_1 + (\frac{p}{p + q})*V_2}{(\frac{b}{a + b})*V_1 + (\frac{q}{p + q})*V_2}\)
\(\frac{24}{9} = \frac{(\frac{11}{11 + 4})*P_1 + (\frac{7}{7 + 3})*P_2}{(\frac{4}{11 + 4})*P_1 + (\frac{3}{7 + 3})*P_2}\)
\(24 * (\frac{4}{15} * P_1 + \frac{3}{10} * P_2) = 9 * (\frac{11}{15} * P_1 + \frac{7}{10} * P_2)\)
\(\frac{72}{10} * P_2 - \frac{63}{10} * P_2 = \frac{99}{15} * P_1 - \frac{96}{15} * P_1 \)
\(\frac{9}{10} * P_2 = \frac{3}{15} * P_1\)
\(\frac{P_2}{P_1} = \frac{3}{15} * \frac{10}{9} = \frac{2}{9}\)
Option D
Arun Kumar
27 Feb 2021, 14:33
Kudos
Bookmarks
sjuniv32
A farmer has two plots of land of different sizes, and each plot of land consists of two different crops, corn, and wheat. In one plot, the ratio of corn to wheat by land area is 7 to 3, and in the other plot, the ratio of corn to wheat by land area is 11 to 4. If the ratio of corn to wheat by land area of the two plots combined is 24 to 9, what is the ratio of the total area of the smaller plot to the total area of the larger plot?
A) 2 to 5
B) 3 to 8
C) 1 to 4
D) 2 to 9
E) 3 to 16
A) 2 to 5
B) 3 to 8
C) 1 to 4
D) 2 to 9
E) 3 to 16
Set the ratio of the second land to the first land as x. Then to get 24/9 in the terms of the first land and second land, we need total corn over total wheat. We can treat the first land's area as 1 and the second land's area as x since the result is a ratio:
\(\frac{\frac{7}{10} + \frac{11}{15}*x}{\frac{3}{10} + \frac{4}{15}*x} = \frac{24}{9} = \frac{8}{3}\)
\(\frac{7}{10} + \frac{11}{15}*x = \frac{4}{5} + \frac{32}{45}x\)
\(\frac{1}{45}x = \frac{4}{5} - \frac{7}{10} = \frac{1}{10}\)
\(x = 9/2\).
Now we know the second land is bigger but we want the ratio of the smaller land to the bigger land, so we reverse it to get 2:9.
Ans: D
