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.
It appears that you are browsing the GMAT Club forum unregistered!
Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club
Registration gives you:
Tests
Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.
Applicant Stats
View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more
Books/Downloads
Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!
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:
If x is an integer, what is the value of x? (3) [#permalink]
17 Nov 2008, 14:41
This topic is locked. If you want to discuss this question please re-post it in the respective forum.
If √x is an integer, what is the value of √x? (3) 11<x<17 (4) 2<√x<5 ________________________________________________________________ A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.
(1) is insufficient due to the fact that 16 has two roots, +- 4. I would be surprised if GMAT would only consider the positive root, as I think it is incomplete to say that sqrt(16)=4 rather than +-4. When you take a square root, you are asking: which number, when squared, gives the desired result? For 16 there are clearly two answers and neither one alone is complete.
(2) is also insufficient by itself since sqrt(x) could be 3 or 4.
Together, (1) and (2) show that the answer is sqrt(x)=4.
(1) is insufficient due to the fact that 16 has two roots, +- 4. I would be surprised if GMAT would only consider the positive root, as I think it is incomplete to say that sqrt(16)=4 rather than +-4. When you take a square root, you are asking: which number, when squared, gives the desired result? For 16 there are clearly two answers and neither one alone is complete.
(2) is also insufficient by itself since sqrt(x) could be 3 or 4.
Together, (1) and (2) show that the answer is sqrt(x)=4.
You can disagree with it but GMAT says that square root will only take positive value. So sqrt(16) = 4 only.
I think sqrt(16) results in a positive number - so sqrt(16) = 4, not -4. However, when x^2 = 16, then you can have 2 values of x: 4 and -4.
Yep, GMAT considers positive square root only. A should be the correct answer.
Can someone substantiate this one. I mean is it written in the OG somewhr??
For me the answer has to be C
I do not bring my OG with me now, but in Manhattan GMAT prep "Number Properities", it says "Unlike even exponents, which yeilld both a positive and a negative solution, square roots have only one solution. Ex: sqrt(4) = 2. While it is true that (-2)(-2) = 4, the GMAT follows the standard convention that a radical (root) sign denotes only the non-negative root of a number. Thus, 2 is the only solution for sqrt(4)."
Wow, thanks nganle. As much as that surprises me it's good to know! Although I will undoubtedly forget come test time thanks to too many years of brain-programming...
I do not bring my OG with me now, but in Manhattan GMAT prep "Number Properities", it says "Unlike even exponents, which yeilld both a positive and a negative solution, square roots have only one solution. Ex: sqrt(4) = 2. While it is true that (-2)(-2) = 4, the GMAT follows the standard convention that a radical (root) sign denotes only the non-negative root of a number. Thus, 2 is the only solution for sqrt(4)."
with this explanation, I will straightly go to A as my answer