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Re: [[x]] is equal to the lesser of the two integer values closest to non-
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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.
Re: [[x]] is equal to the lesser of the two integer values closest to non-
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26 Aug 2016, 07:13
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Top Contributor
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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
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-
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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
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