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# [x] is the greatest integer less than or equal to x. What is the value

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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[x] is the greatest integer less than or equal to x. What is the value  [#permalink]

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12 Jun 2019, 21:37
00:00

Difficulty:

45% (medium)

Question Stats:

60% (01:26) correct 40% (01:39) wrong based on 42 sessions

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[GMAT math practice question]

[x] is the greatest integer less than or equal to x. What is the value of [π^2 – 10]?

A. -8
B. -7
C. -1
D. 0
E. 1

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

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12 Jun 2019, 21:56
MathRevolution wrote:
[GMAT math practice question]

[x] is the greatest integer less than or equal to x. What is the value of [π^2 – 10]?

A. -8
B. -7
C. -1
D. 0
E. 1

[x] is the greatest integer less than or equal to x
—> Eg: [1.2] = 1
[3.4] = 3
[-2.5] = -3 so on ...

[π^2 – 10] = [(3.14)^2 - 10]
= [-0.14]
= -1

IMO Option C

Pls Hit kudos if you like the solution

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8777
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: [x] is the greatest integer less than or equal to x. What is the value  [#permalink]

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16 Jun 2019, 21:58
[x] means round down.

π^2 – 10
≒ (3.14)^2 – 10
≒ 9.86 – 10
= -0.14.
Therefore, [-0.14] = -1 since -1 is the greatest integer less than or equal to -0.14.

_________________
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.
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Re: [x] is the greatest integer less than or equal to x. What is the value   [#permalink] 16 Jun 2019, 21:58
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