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 1811:00 AM PST
-12:00 PM PST
Join us in a live GMAT practice session and solve 30 challenging GMAT questions with other test takers in timed conditions, covering GMAT Quant, Data Sufficiency, Data Insights, Reading Comprehension, and Critical Reasoning questions.
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.
French: 260
French and
Spanish: 140
Spanish: 140
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
80% (02:18) correct
20%
(02:42)
wrong
based on 471
sessions
History
Date
Time
Result
Not Attempted Yet
350 students at High School are currently enrolled in French, Spanish, or both French and Spanish. 230 students are currently enrolled in Spanish.
In the table, identify the number of students currently enrolled in French and the number of students currently enrolled in both French and Spanish. The two numbers must be consistent with each other and with the constraints above. Make exactly one choice in each column. (the given options are for column 3)
In the table, identify the number of students currently enrolled in French and the number of students currently enrolled in both French and Spanish. The two numbers must be consistent with each other and with the constraints above. Make exactly one choice in each column. (the given options are for column 3)
| French |
French and Spanish |
Number |
| 140 | ||
| 180 | ||
| 200 | ||
| 220 | ||
| 260 | ||
| 280 |
ShowHide Answer
Official Answer
French: 260
French and
Spanish: 140
Spanish: 140
09 Jan 2021, 06:01
Kudos
Bookmarks
Official Explanation
Although you could draw a Venn diagram or a double-set matrix to answer this question, there is a formula for overlapping sets that will save you time:
Total = Group 1 + Group 2 + Neither – Both
In words, the total number of items equals the number of items in the first group, plus the number of items in the second group, plus the number of items in neither group, minus the number of items in both groups. (That last subtraction is necessary because the “both” items have been counted twice, as part of the first group and as part of the second group.) Apply the formula to the current problem:
Total = Spanish + French + Neither – Both
The total number of students is 350 and the number of students currently enrolled in Spanish is 230. Furthermore, all students are taking either French or Spanish or both, so the Neither category equals 0.
230 + French + 0 – Both = 350
French – Both = 120
Find 2 choices that differ by 120, with the larger number representing the total number of students currently enrolled in French and the smaller number representing the number of student enrolled in both French and Spanish. 260 and 140 are the only numbers in the list that have a difference of 120.
Column 1: The correct answer is (E).
Column 2: The correct answer is (A).
Although you could draw a Venn diagram or a double-set matrix to answer this question, there is a formula for overlapping sets that will save you time:
Total = Group 1 + Group 2 + Neither – Both
In words, the total number of items equals the number of items in the first group, plus the number of items in the second group, plus the number of items in neither group, minus the number of items in both groups. (That last subtraction is necessary because the “both” items have been counted twice, as part of the first group and as part of the second group.) Apply the formula to the current problem:
Total = Spanish + French + Neither – Both
The total number of students is 350 and the number of students currently enrolled in Spanish is 230. Furthermore, all students are taking either French or Spanish or both, so the Neither category equals 0.
230 + French + 0 – Both = 350
French – Both = 120
Find 2 choices that differ by 120, with the larger number representing the total number of students currently enrolled in French and the smaller number representing the number of student enrolled in both French and Spanish. 260 and 140 are the only numbers in the list that have a difference of 120.
Column 1: The correct answer is (E).
Column 2: The correct answer is (A).
General Discussion
17 Sep 2012, 18:14
Kudos
Bookmarks
IMO it's 260 for french students and 140 for taking both classes.
No. taking french only = 350-230 = 120
No. of french students= 120 + No. taking both
In the numbers given only 260 = 120 + 140 can suffice the equation.
No. taking french only = 350-230 = 120
No. of french students= 120 + No. taking both
In the numbers given only 260 = 120 + 140 can suffice the equation.
