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Math Revolution GMAT Instructor V
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GMAT 1: 760 Q51 V42
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[p] is the greatest integer less than or equal p. What is the value of  [#permalink]

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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

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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]

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1
π= 3.14

π-1 => 2.14

Hence [π-1] => 2

Smash that A.

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

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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

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

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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.

Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 9022
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]

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==>You get π-1=3.14-1=2.14, and thus [π-1]=[2.14]=2. The answer is A.
_________________ Re: [p] is the greatest integer less than or equal p. What is the value of   [#permalink] 23 May 2017, 23:33

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