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# [p] is the greatest integer less than or equal p. What is the value of

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8722
GMAT 1: 760 Q51 V42
GPA: 3.82
[p] is the greatest integer less than or equal p. What is the value of  [#permalink]

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22 May 2017, 00:18
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5% (low)

Question Stats:

84% (00:37) correct 16% (00:21) wrong based on 58 sessions

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[p] is the greatest integer less than or equal p. What is the value of $$[π-1]$$?

A. 2
B. 3
C. 4
D. 5
E. 6

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Current Student Joined: 12 Aug 2015 Posts: 2537 Schools: Boston U '20 (M) GRE 1: Q169 V154 Re: [p] is the greatest integer less than or equal p. What is the value of [#permalink] ### Show Tags 22 May 2017, 00:33 1 π= 3.14 π-1 => 2.14 Hence [π-1] => 2 Smash that A. _________________ Director Joined: 04 Dec 2015 Posts: 721 Location: India Concentration: Technology, Strategy WE: Information Technology (Consulting) Re: [p] is the greatest integer less than or equal p. What is the value of [#permalink] ### Show Tags 22 May 2017, 03:41 MathRevolution wrote: [p] is the greatest integer less than or equal p. What is the value of $$[π-1]$$? A. 2 B. 3 C. 4 D. 5 E. 6 $$\pi$$ = 3.14 3.14 - 1 = 2.14 [p] is the greatest integer less than or equal p. Therefore [2.14] = 2 Answer A... _________________ Kindly press "+1 Kudos" to appreciate Retired Moderator Joined: 21 Aug 2013 Posts: 1369 Location: India Re: [p] is the greatest integer less than or equal p. What is the value of [#permalink] ### Show Tags 22 May 2017, 03:51 π = 3.1416.... So π-1 = 2.1416... We have to find [π-1] = [2.1416...] So what is the greatest integer which is less than or equal to 2.1416....? There is no integer which is equal to 2.1416... (since this is not an integer) And now out of all integers less than 2.1416... (which are 2, 1, 0, -1, -2, ... in descending order)- the Greatest is 2. Hence answer is A Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8722 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: [p] is the greatest integer less than or equal p. What is the value of [#permalink] ### Show Tags 23 May 2017, 23:33 ==>You get π-1=3.14-1=2.14, and thus [π-1]=[2.14]=2. The answer is A. Answer: A _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: [p] is the greatest integer less than or equal p. What is the value of   [#permalink] 23 May 2017, 23:33
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