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![[x] is the greatest integer less than or equal x, what is the value of](/forum/styles/gmatclub_light/imageset/icon_post_target_unread.svg "[x] is the greatest integer less than or equal x, what is the value of"){kind=icon}
06 Nov 2018, 01:48
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D
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Difficulty:
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Question Stats:
82% (01:06) correct
18%
(02:01)
wrong
based on 170
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[Math Revolution GMAT math practice question]
\([x]\) is the greatest integer less than or equal \(x\), what is the value of \([√30]+[√40]+[√50]?\)
\(A. 12\)
\(B. 15\)
\(C. 16\)
\(D. 18\)
\(E. 20\)
\([x]\) is the greatest integer less than or equal \(x\), what is the value of \([√30]+[√40]+[√50]?\)
\(A. 12\)
\(B. 15\)
\(C. 16\)
\(D. 18\)
\(E. 20\)
06 Nov 2018, 06:50
Kudos
Bookmarks
MathRevolution
[Math Revolution GMAT math practice question]
\([x]\) is the greatest integer less than or equal \(x\), what is the value of \([√30]+[√40]+[√50]?\)
\(A. 12\)
\(B. 15\)
\(C. 16\)
\(D. 18\)
\(E. 20\)
GIVEN: [x] is the greatest integer less than or equal x \([x]\) is the greatest integer less than or equal \(x\), what is the value of \([√30]+[√40]+[√50]?\)
\(A. 12\)
\(B. 15\)
\(C. 16\)
\(D. 18\)
\(E. 20\)
For example, [3.2] = 3, since 3 is the greatest integer that is less than (or equal) to 3.2
Likewise, [8.7] = 8, since 8 is the greatest integer that is less than (or equal to) 8.7
Now onto the question....
√25 = 5
√36 = 6
√49= 7
√64 = 8
Since √30 is BETWEEN √25 (aka 5) and √36 (aka 6), we know that √30 = 5.something
So, [√30] = 5
Since √40 is BETWEEN √36 (aka 6) and √49 (aka 6), we know that √40 = 6.something
So, [√40] = 6
Since √50 is BETWEEN √49 (aka 7) and √64 (aka 8), we know that √50 = 7.something
So, [√50] = 7
So, [√30]+[√40]+[√50] = 5 + 6 + 7 = 18
Answer: D
Cheers,
Brent
General Discussion
sashiim20
Joined: 04 Dec 2015
Last visit: 05 Jun 2024
Posts: 612
Given Kudos: 276
Location: India
Concentration: Technology, Strategy
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
WE:Information Technology (Consulting)
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
Posts: 612
06 Nov 2018, 03:11
Kudos
Bookmarks
MathRevolution
[Math Revolution GMAT math practice question]
\([x]\) is the greatest integer less than or equal \(x\), what is the value of \([√30]+[√40]+[√50]?\)
\(A. 12\)
\(B. 15\)
\(C. 16\)
\(D. 18\)
\(E. 20\)
\([x]\) is the greatest integer less than or equal \(x\), what is the value of \([√30]+[√40]+[√50]?\)
\(A. 12\)
\(B. 15\)
\(C. 16\)
\(D. 18\)
\(E. 20\)
\([√30]+[√40]+[√50]\)
\([√30]\) is between perfect squares \(25\) and \(36\). Square root of \([√30]\) is between \(5\) and \(6\).
Given \([x]\) is the greatest integer less than or equal \(x\).
Therefore \([√30] = 5\)
\([√40]\) is between perfect squares \(36\) and \(49\). Square root of \([√40]\) is between \(6\) and \(7\).
Therefore \([√40] = 6\)
\([√50]\) is between perfect squares \(49\) and \(64\). Square root of \([√50]\) is between \(7\) and \(8\).
Therefore \([√50] = 7\)
Hence \([√30]+[√40]+[√50] = 5 + 6 + 7 = 18\)
Answer D
