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 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 1612:00 PM EDT
-11:59 PM EDT
You’re first to know: Save $200 on GMAT prep starting tomorrow, 4/13. Get 6 official practice tests and study with real questions. Be ready to save!
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 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.
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:
62% (02:59) correct
38%
(03:12)
wrong
based on 188
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
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
