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 2512:30 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 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.
01 Feb 2023, 12:45
Kudos
Bookmarks
B
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:
56% (01:41) correct
44%
(01:44)
wrong
based on 227
sessions
History
Date
Time
Result
Not Attempted Yet
Each of the hundred students in a class enrolled in at least one of the three activities: Singing, Dancing, and Theatre. If 40 participated in Singing, 50 participated in Dancing and 40 participated in Theatre and if 10 participated in all the three activities, how many students participated in at least two activities?
A. 10
B. 20
C. 24
D. 30
E. 32
A. 10
B. 20
C. 24
D. 30
E. 32
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Last visit: 29 Mar 2026
Posts: 3,089
Own Kudos:
Given Kudos: 1,510
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
01 Feb 2023, 15:55
Kudos
Bookmarks
The answer is B, you can refer to the solution in the picture in the attachment.
Posted from my mobile device
Posted from my mobile device
Attachments
IMG_20230201_225410.jpg [ 1020.35 KiB | Viewed 3716 times ]
02 Feb 2023, 03:26
Kudos
Bookmarks
Bunuel
Solution:
- We can make the following venn diagram based on this diagramAttachment:
singdance.png [ 11.82 KiB | Viewed 3473 times ]
- According to the venn diagram, \(a+b+c+d+e+f+10=100\) or \(a+b+c+d+e+f=90........(i)\)
- We also know
- 40 participated in Singing i.e., \(a+d+e+10=40\) or \(a+d+e=30........(ii)\)
- 50 participated in Dancing i.e., \(b+e+f+10=50\) or \(b+e+f=40........(iii)\)
- 40 participated in Theatre i.e., \(c+d+f+10=40\) or \(c+d+f=30........(iv)\)
- We are asked the value of \(d+e+f+10\)
- Upon adding equations ii, iii and iv, we get: \((a+b+c+d+e+f)+d+e+f=30+40+30\)
\(⇒90+d+e+f=100\)
\(⇒d+e+f=10\)
\(⇒d+e+f+10=20\)
Hence the right answer is Option B
