GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 08 May 2021, 04:52
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

Close

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

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
[[x]] is equal to the lesser of the two integer values closest to non-
6 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 74519
CAT Tests Top Member of the Month
[[x]] is equal to the lesser of the two integer values closest to non- [#permalink] New post  15 Apr 2015, 03:21
4
Kudos
45
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

95% (hard)

Question Stats:

37% (02:09) correct 63% (02:03) wrong based on 486 sessions

Hide Show timer Statistics

[[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.
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Most Helpful Expert Reply
User avatar
V
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 5438
Location: Canada
Top Member of the Month
[[x]] is equal to the lesser of the two integer values closest to non- [#permalink] New post  Updated on: 04 Jul 2020, 05:50
1
Kudos
4
Bookmarks
Expert Reply
Top Contributor
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

Answer: E
_________________
Image

A focused approach to GMAT mastery
Signature Read More

Originally posted by BrentGMATPrepNow on 26 Aug 2016, 07:13.
Last edited by BrentGMATPrepNow on 04 Jul 2020, 05:50, edited 1 time in total.
Most Helpful Community Reply
avatar
B
AmoyV
Retired Moderator
Joined: 30 Jul 2013
Status:On a mountain of skulls, in the castle of pain, I sit on a throne of blood.
Posts: 279
GMAT ToolKit User Reviews Badge
Re: [[x]] is equal to the lesser of the two integer values closest to non- [#permalink] New post  15 Apr 2015, 07:24
2
Kudos
4
Bookmarks
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=3.14
-pi=-3.14
Lesser of the 2 integers closest to -3.14 is -4

\(\sqrt{37}\)=6.1 (approx)
Lesser of the 2 integers closest to -6.1 is -7

-4 + -7 = -11
|-11|=11

Option E:
\(\sqrt{143}\)= Little less than 12 or 11.9
Lesser of the 2 integers closest to 11.9 is 11

Answer: E
General Discussion
avatar
Vaibhav21
Manager
Manager
Joined: 01 Jan 2015
Posts: 51
Re: [[x]] is equal to the lesser of the two integer values closest to non- [#permalink] New post  15 Apr 2015, 13:58
1
Kudos
[[-3.14]] = -4 (lesser of the two{-3 and -4}= -4)
[[-(Sqroot37)]] = -7 (lesser of the two{-6 and -7}= -7)
Adding both -4-7 = -11 ;Absolute value = 11

E = [[(Sqroot143)]] = 11 (lesser of the two{11 and 12}= 11

Thus answer E
avatar
Senthil1981
Senior Manager
Senior Manager
Joined: 23 Apr 2015
Posts: 260
Location: United States
Concentration: General Management, International Business
Schools: Booth PT '19, Ross Weekend"19
WE:Engineering (Consulting)
Re: [[x]] is equal to the lesser of the two integer values closest to non- [#permalink] New post  23 Aug 2016, 08:25
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.


+1 for kudos
User avatar
D
QuantMadeEasy
Director
Director
Joined: 27 Feb 2014
Posts: 500
Location: India
Concentration: General Management, International Business
GMAT 1: 570 Q49 V20
GPA: 3.97
WE:Engineering (Education)
Re: [[x]] is equal to the lesser of the two integer values closest to non- [#permalink] New post  27 Jan 2020, 20:20
The value of the function is the value of integer that is left to x.
When [x] = [-pi] = [-3.14] = -4
When [x] = [-sqrt(37)] = [-6.1] = -7
[-pi]+[-sqrt(37)] = -4 -7 = -11
|-11| = 11 = required value

A. [[9.4]] = 9

(B) [[4 pi]] = 12

(C) [[99]] = 10

(D) [[120]] = 10

(E) [[√143]] = 11

E is correct
_________________
Want to Prepare for Number Properties? Click on the link below:
https://www.amazon.in/dp/B08KBF6NB9/ref=cm_sw_r_wa_apa_SyZCFb0KJ6YZ0

Want to Increase Quant Score? Reach out for 1 to 1 tutoring: prestigiousclasses@gmail.com
Signature Read More
GMAT Club Bot
gmatclubot
Re: [[x]] is equal to the lesser of the two integer values closest to non- [#permalink]
27 Jan 2020, 20:20
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
9813 posts
Bunuel
Math Expert
74519 posts
yashikaaggarwal
Senior Moderator - Masters Forum
2457 posts
generis
Senior SC Moderator
4719 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions