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.
Sep 0201:00 PM EDT
-11:59 PM EDT
Take 30% off all study plans with code COURSEWORK - Expires on Monday 9/7
Sep 0410:00 AM PDT
-11:00 AM PDT
What does test anxiety really look like on the GMAT? For many test takers, it does not look like a panic attack. Instead, it shows up as brain fog, rereading, negative comparisons, mental noise....
Sep 0609:30 AM EDT
-12:30 PM EST
Top scores are possible when you enroll in a powerful EA course, taught live online + 6 months access to TTP OnDemand video courses included! Perfect class schedule and easy course access for working professionals. Class starts Sundays Sept. 6, 2026.- Sep 07
12:01 AM PDT
-11:59 PM PDT
On the 7th, GMAT Club Tests will be Free! Including all the Quizzes, Questions, and Tests. 12 AM - 11:59 PM PDT - Sep 09
07:00 AM PDT
-10:00 AM PDT
Meet AdComs and explore top Master’s programs - MiM, MiF, MSc, MSBA and more. - Application Fee Waivers - Free 1-Week of GMAT Club Tests: - Master's Application Toolkit - Grand Prize Giveaway 
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2108:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
06 Aug 2026, 05:57
Kudos
Bookmarks
At a professional conference, two optional events were offered: a product demo and a networking breakfast. If 70% of the attendees registered for the product demo and 25% of the attendees registered for both events, how many attendees registered for neither event?
(1) 30 attendees registered for the networking breakfast but not for the product demo.
(2) 150 attendees did not register for the networking breakfast.
(1) 30 attendees registered for the networking breakfast but not for the product demo.
(2) 150 attendees did not register for the networking breakfast.
06 Aug 2026, 05:57
Kudos
Bookmarks
Official Solution:
At a professional conference, two optional events were offered: a product demo and a networking breakfast. If 70% of the attendees registered for the product demo and 25% of the attendees registered for both events, how many attendees registered for neither event?
\(\{\text{Total}\} = \{\text{Demo only}\} + \{\text{Breakfast only}\} + \{\text{Both}\} + \{\text{Neither}\}\)
Also:
\(\{\text{Demo}\} = \{\text{Demo only}\} + \{\text{Both}\}\)
So:
\(\{\text{Demo only}\} = \{\text{Demo}\} - \{\text{Both}\} = 0.70 * \{\text{Total}\} - 0.25 * \{\text{Total}\} = 0.45 * \{\text{Total}\}\)
The question asks for \(\{\text{Neither}\}\).
(1) 30 attendees registered for the networking breakfast but not for the product demo.
So:
\(\{\text{Breakfast only}\} = 30\)
Using the total formula:
\(\{\text{Total}\} = \{\text{Demo only}\} + \{\text{Breakfast only}\} + \{\text{Both}\} + \{\text{Neither}\}\)
\(\{\text{Total}\} = 0.45 * \{\text{Total}\} + 30 + 0.25 * \{\text{Total}\} + \{\text{Neither}\}\)
\(\{\text{Neither}\} = 0.30 * \{\text{Total}\} - 30\)
But \(\{\text{Total}\}\) is not known.
Not sufficient.
(2) 150 attendees did not register for the networking breakfast.
Those attendees are in \(\{\text{Demo only}\}\) and \(\{\text{Neither}\}\). So:
\(\{\text{Demo only}\} + \{\text{Neither}\} = 150\)
\(0.45 * \{\text{Total}\} + \{\text{Neither}\} = 150\)
But \(\{\text{Total}\}\) is not known.
Not sufficient.
(1)+(2) From statement (1):
\(\{\text{Neither}\} = 0.30 * \{\text{Total}\} - 30\)
From statement (2):
\(0.45 * \{\text{Total}\} + \{\text{Neither}\} = 150\)
Substitute:
\(0.45 * \{\text{Total}\} + 0.30 * \{\text{Total}\} - 30 = 150\)
\(0.75 * \{\text{Total}\} = 180\)
\(\{\text{Total}\} = 240\)
Therefore:
\(\{\text{Neither}\} = 0.30 * 240 - 30 = 72 - 30 = 42\)
Sufficient.
Answer: C
At a professional conference, two optional events were offered: a product demo and a networking breakfast. If 70% of the attendees registered for the product demo and 25% of the attendees registered for both events, how many attendees registered for neither event?
\(\{\text{Total}\} = \{\text{Demo only}\} + \{\text{Breakfast only}\} + \{\text{Both}\} + \{\text{Neither}\}\)
Also:
\(\{\text{Demo}\} = \{\text{Demo only}\} + \{\text{Both}\}\)
So:
\(\{\text{Demo only}\} = \{\text{Demo}\} - \{\text{Both}\} = 0.70 * \{\text{Total}\} - 0.25 * \{\text{Total}\} = 0.45 * \{\text{Total}\}\)
The question asks for \(\{\text{Neither}\}\).
(1) 30 attendees registered for the networking breakfast but not for the product demo.
So:
\(\{\text{Breakfast only}\} = 30\)
Using the total formula:
\(\{\text{Total}\} = \{\text{Demo only}\} + \{\text{Breakfast only}\} + \{\text{Both}\} + \{\text{Neither}\}\)
\(\{\text{Total}\} = 0.45 * \{\text{Total}\} + 30 + 0.25 * \{\text{Total}\} + \{\text{Neither}\}\)
\(\{\text{Neither}\} = 0.30 * \{\text{Total}\} - 30\)
But \(\{\text{Total}\}\) is not known.
Not sufficient.
(2) 150 attendees did not register for the networking breakfast.
Those attendees are in \(\{\text{Demo only}\}\) and \(\{\text{Neither}\}\). So:
\(\{\text{Demo only}\} + \{\text{Neither}\} = 150\)
\(0.45 * \{\text{Total}\} + \{\text{Neither}\} = 150\)
But \(\{\text{Total}\}\) is not known.
Not sufficient.
(1)+(2) From statement (1):
\(\{\text{Neither}\} = 0.30 * \{\text{Total}\} - 30\)
From statement (2):
\(0.45 * \{\text{Total}\} + \{\text{Neither}\} = 150\)
Substitute:
\(0.45 * \{\text{Total}\} + 0.30 * \{\text{Total}\} - 30 = 150\)
\(0.75 * \{\text{Total}\} = 180\)
\(\{\text{Total}\} = 240\)
Therefore:
\(\{\text{Neither}\} = 0.30 * 240 - 30 = 72 - 30 = 42\)
Sufficient.
Answer: C
