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.
May 1401:00 AM EDT
-02:00 AM EDT
Looking for your GMAT motivation to break through the score plateau? Pragati improved her score by massive 160 points with strategic guidance and hard-work! Find out how personalized mentorship and a strong mindset can turn GMAT struggles into success.
May 1408:30 AM PDT
-09:30 AM PDT
Most GMAT test-takers are intimidated by the hardest GMAT Verbal questions. In this session, Target Test Prep GMAT instructor Erika Tyler-John, a 100th percentile GMAT scorer, will show you how top scorers break down challenging Verbal questions..
May 1212:00 PM EDT
-11:59 PM EDT
Make the most of your break with the most realistic GMAT™ prep. Take up to $700 off select products.
May 1312:30 AM EDT
-01:30 AM EDT
Struggling to find the right strategies to score a 99 %ile on GMAT Focus? Riya (GMAT 715) boosted her score by 100-points in just 15 days! Discover how the right mentorship, tailored strategies, and an unwavering mindset can transform your GMAT prep.- May 13
08:30 AM PDT
-09:30 AM PDT
In Episode 4 of our GMAT Ninja CR series, we tackle the most intimidating CR question type: Boldface & "Legalese" questions. If you've ever stared at an answer choice that reads, "The first is a consideration introduced to counter a position that... 
May 1506:00 PM PDT
-07:00 PM PDT
Start your free trial!- Jun 10
06:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
13 May 2024, 08:59
Kudos
Bookmarks
If 11 is a factor of \(n^2\) and \(\sqrt{n}\) is a prime number, what is the sum of the digits of the positive integer \(n\)?
A. 1
B. 2
C. 3
D. 4
E. 5
A. 1
B. 2
C. 3
D. 4
E. 5
13 May 2024, 08:59
Kudos
Bookmarks
Official Solution:
If 11 is a factor of \(n^2\) and \(\sqrt{n}\) is a prime number, what is the sum of the digits of the positive integer \(n\)?
A. 1
B. 2
C. 3
D. 4
E. 5
Exponentiation does not "produce" primes. Since 11 is a factor of \(n^2\), it must also be a factor of \(n\). Essentially, this condition implies that \(n\) is a multiple of 11.
Furthermore, the condition that \(\sqrt{n}\) is a prime number implies \(n = \text{prime}^2\).
Given that \(n\) is a multiple of 11 and \(n = \text{prime}^2\), it follows that \(n = 11^2 = 121\). Therefore, the sum of the digits of \(n\) is \(1 + 2 + 1 = 4\).
Answer: D
If 11 is a factor of \(n^2\) and \(\sqrt{n}\) is a prime number, what is the sum of the digits of the positive integer \(n\)?
A. 1
B. 2
C. 3
D. 4
E. 5
Exponentiation does not "produce" primes. Since 11 is a factor of \(n^2\), it must also be a factor of \(n\). Essentially, this condition implies that \(n\) is a multiple of 11.
Furthermore, the condition that \(\sqrt{n}\) is a prime number implies \(n = \text{prime}^2\).
Given that \(n\) is a multiple of 11 and \(n = \text{prime}^2\), it follows that \(n = 11^2 = 121\). Therefore, the sum of the digits of \(n\) is \(1 + 2 + 1 = 4\).
Answer: D
22 May 2024, 08:08
Kudos
Bookmarks
What's the proof that factor of a square number is also a factor of that number?
Bunuel
