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
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Sayali narrates her experience of succeeding on the GMAT after 4 attempts & 2 years of preparations. Sayali achieved 99 percentile score on GMAT Focus edition after significantly improving her performance in verbal section of the GMAT
Grab 20% off any Target Test Prep GMAT Focus plan during our Flash Sale. Just enter the coupon code FLASH20 at checkout to save up to $320. The offer ends on Tuesday, April 30.
After just 3 months of studying with the TTP GMAT Focus course, Conner scored an incredible 755 (Q89/V90/DI83) on the GMAT Focus. In this live interview, he shares how he achieved his outstanding 755 (100%) GMAT Focus score on test day.
In this conversation with Ankit Mehra, IESE MBA and CEO & Co-Founder, of GyanDhan, we will discuss how prospective MBA students can finance their MBA education with education loans and scholarships.
What do András from Hungary, Pablo from Mexico, Conner from the United States, Giorgio from Italy, Leo from Germany, and Rishab from India have in common? They all earned top scores on the GMAT Focus Edition using the Target Test Prep course!
What do András from Hungary, Conner from the United States, Giorgio from Italy, Leo from Germany, and Saahil from India have in common? They all earned top scores on the GMAT Focus Edition using the Target Test Prep course!
Re: What is the number of factors of a number x?
[#permalink]
05 Jun 2021, 01:47
S1: x= y*z = A*B*t^2 whare t is common factor of y and z. But we have no info about other factors of y*z. Insufficient S2: again we don't have information about z. Insufficient S1&2: again not sufficient as info about z is missing from both statements.
Re: What is the number of factors of a number x?
[#permalink]
05 Jun 2021, 09:52
Expert Reply
AkhilAggarwal wrote:
What is the number of factors of a number x?
(1) x = y*z where y and z have exactly one common factor between them. (2) The number of factors of X is equal to twice the number of factors of Y.
Solution:
Step 1: Analyse Question Stem We need to find the number of factors of x.
• To calculate the total number of factors of a number, the number has to be in the prime factorized form. • Then, the total factors are calculated using the formula:
o (a + 1)(b + 1)(c + 1) where a, b, c,…… are the powers of the primes.
Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE Statement 1:x = y*z where y and z have exactly one common factor between them.
• If y = 6 and z = 8 such that they have exactly one common factor i.e., 2
o Then, x = y*z = 6*8 = 48 = \(2^{4}\) * 3
o In this case, the total number of factors of x = (4+1)(1+1) = 10
• If y = 6 and z = 10 such that they have exactly one common factor i.e., 2
o Then, x = y*z = 6*10 = 60 = \(2^{2}\) * 3 * 5
o In this case, the total number of factors of x = (2+1)(1+1)(1+1) = 12
Thus, we get two contradictory results for the total factors of x. Hence, statement 1 is not sufficient and we can eliminate the answer options A and D. Statement 2: The number of factors of X is equal to twice the number of factors of Y.
• If the number of factors of y = 2, then the number of factors of x = 4 • If the number of factors of y = 3, then the number of factors of x = 6
Similarly, there can be multiple cases. Hence, statement 2 is not sufficient and we can eliminate the answer option B. Step 3: Analyse Statements by Combining On combining, we do not have any sufficient information to determine x or its total number of factors. Thus, both the statements combined are insufficient and we can eliminate the answer option C. Hence, the correct answer is Option E.
This Question is Locked Due to Poor Quality
Hi there,
The question you've reached has been archived due to not meeting our community quality standards. No more replies are possible here.
Looking for better-quality questions? Check out the 'Similar Questions' block below
for a list of similar but high-quality questions.
Want to join other relevant Problem Solving discussions? Visit our Data Sufficiency (DS) Forum
for the most recent and top-quality discussions.
Thank you for understanding, and happy exploring!
gmatclubot
Re: What is the number of factors of a number x? [#permalink]