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.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2211:00 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- Nov 23
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. 
Nov 2510:00 AM EST
-11:00 AM EST
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.
avigutman
Expert
Tutor
Joined: 17 Jul 2019
Last visit: 30 Sep 2025
Posts: 1,293
Given Kudos: 66
Location: Canada
Schools: NYU Stern (WA)
GMAT 1: 780 Q51 V45
GMAT 2: 780 Q50 V47
GMAT 3: 770 Q50 V45
Expert reply
21 Mar 2021, 13:15
Kudos
Bookmarks
wishmasterdj
You should try to take your question one step further. Assume there’s a third language. Would that impact the solution, and if so, how?
Posted from my mobile device
10 Apr 2021, 21:13
Kudos
Bookmarks
amitgovin
Answer: Option B
Video solution by GMATinsight
09 Jun 2021, 01:23
Kudos
Bookmarks
This is a brilliant question on the concept of Overlapping sets. What makes this question challenging is that we do not know the exact number of students studying Japanese.
Let us first break down the question data and the question stem:
At least 100 students study Japanese – this means, number of students studying Japanese ≥ 100.
4 percent of the students who study French also study Japanese – students studying both subjects = 4 percent of students studying French.
Do more students study French than Japanese – Is F > J?
From statement I alone, 16 students study both subjects. Therefore,
\(\frac{4}{100}\) * F = 16 which gives us F = 400.
But, we do not have any information about J (the number of students studying Japanese) other than J ≥ 100. If J = 101, F>J; if J = 400, F=J; if J = 500, F<J.
Statement I alone is insufficient to compare F and J. Answer options A and D can be eliminated. Possible answer options are B, C or E.
From statement II alone, 10 percent of students studying Japanese also study French. So, these represent students studying both subjects. But, from question data we know that students studying both are 4 percent of students studying French.
09th June 2021 - Reply 2.JPG [ 31.1 KiB | Viewed 2245 times ]
Therefore, \(\frac{10}{100}\) * J = \(\frac{4}{100}\) * F.
From the above equation, we can conclude that \(\frac{F }{ J} = \frac{5}{2}\). Since F and J represent countable objects and cannot be fractions or negative values, it’s clear from the above ratio that F > J.
Statement II alone is sufficient to answer the question with a definite YES. Answer options C and E can be eliminated.
The correct answer option is B.
Hope that helps!
Aravind B T
Let us first break down the question data and the question stem:
At least 100 students study Japanese – this means, number of students studying Japanese ≥ 100.
4 percent of the students who study French also study Japanese – students studying both subjects = 4 percent of students studying French.
Do more students study French than Japanese – Is F > J?
From statement I alone, 16 students study both subjects. Therefore,
\(\frac{4}{100}\) * F = 16 which gives us F = 400.
But, we do not have any information about J (the number of students studying Japanese) other than J ≥ 100. If J = 101, F>J; if J = 400, F=J; if J = 500, F<J.
Statement I alone is insufficient to compare F and J. Answer options A and D can be eliminated. Possible answer options are B, C or E.
From statement II alone, 10 percent of students studying Japanese also study French. So, these represent students studying both subjects. But, from question data we know that students studying both are 4 percent of students studying French.
Attachment:
09th June 2021 - Reply 2.JPG [ 31.1 KiB | Viewed 2245 times ]
Therefore, \(\frac{10}{100}\) * J = \(\frac{4}{100}\) * F.
From the above equation, we can conclude that \(\frac{F }{ J} = \frac{5}{2}\). Since F and J represent countable objects and cannot be fractions or negative values, it’s clear from the above ratio that F > J.
Statement II alone is sufficient to answer the question with a definite YES. Answer options C and E can be eliminated.
The correct answer option is B.
Hope that helps!
Aravind B T
