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:
Want to solve 700+ level Algebra questions within 2 minutes? Attend this free webinar to learn how to master the most challenging Inequalities and Absolute Values questions in GMAT
Each admissions season, many candidates receive a response from MBA admissions committees that can sometimes be far more frustrating than a rejection: “You have been placed on our waitlist.” What should you do when your status is uncertain?
Are you struggling to achieve your target GMAT score? Most students struggle to cross GMAT 700 because they lack a strategic plan of action. Attend this Free Strategy Webinar, which will empower you to create a well-defined study plan to score 760+
Re: [[x]] is equal to the lesser of the two integer values closest to non-
[#permalink]
Show Tags
23 Aug 2016, 09:25
Bunuel wrote:
[[x]] is equal to the lesser of the two integer values closest to non-integer x. What is the absolute value of \([[-\pi]] + [[-\sqrt{37}]]\) ?
(A) [[9.4]]
(B) [[4 pi]]
(C) \([[\sqrt{99}]]\)
(D) \([[\sqrt{120}]]\)
(E) \([[\sqrt{143}]]\)
Kudos for a correct solution.
"[[x]] is equal to the lesser of the two integer values closest to non-integer x " can be interpreted as floor(x) or round-down of x. i.e if \(x= 3.9, [[x]] = 3\) and if\(x=-3.1, [[x]] = -4\) so \([[-\pi]] + [[-\sqrt{37}]]\) = \([[-3.14] + [[-6.something]]\) = \(-4 + -7\) = \(-11\)
And absolute value is 11. Only E has the value when rounded down equals to 11.
Re: [[x]] is equal to the lesser of the two integer values closest to non-
[#permalink]
Show Tags
26 Aug 2016, 08:13
1
Top Contributor
3
Bunuel wrote:
[[x]] is equal to the lesser of the two integer values closest to non-integer x. What is the absolute value of \([[-\pi]] + [[-\sqrt{37}]]\) ?
(A) [[9.4]]
(B) [[4 pi]]
(C) \([[\sqrt{99}]]\)
(D) \([[\sqrt{120}]]\)
(E) \([[\sqrt{143}]]\)
Kudos for a correct solution.
[[−pi]] [[−pi]] = [[−3.14]] = -4, since -4 < -3.14 < -3, and -4 is the lesser of -4 and -3
[[−√37]] Notice that √36 = 6 and √49 = 7, so √37 = 6.something So, [[−√37]] = [[−6.something]] = -7, since -7 < −6.something < -6, and -7 is the lesser of -7 and -6
So, [[−pi]] + [[−√37]] = (-4) + (-7) = -11 This means the ABSOLUTE VALUE of [[−pi]] + [[−√37]] = |-11| = 11
Now check the answer choices....
NOTE: this is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top. For more on this strategy, see my article: http://www.gmatprepnow.com/articles/han ... -questions
E) [[√143]] Notice that √121 = 11 and √144 = 12, so √143 = 11.something So, [[√143]] = [[11.something]] = 11 [ since 11 < 11.something < 12, and 11 is the lesser of 11 and 12
Re: [[x]] is equal to the lesser of the two integer values closest to non-
[#permalink]
Show Tags
05 Nov 2018, 02:43
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________