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The largest integer less than or equal to x

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The largest integer less than or equal to x [#permalink] New post   12 Nov 2021, 11:49
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\(\lfloor x \rfloor =\) the largest integer less than or equal to x

Quantity A
Quantity B
\(\lfloor -1.5 \rfloor\)
\( - \lfloor 1.5 \rfloor\)



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

See our chapter Numbers Comprehension https://gre.myprepclub.com/forum/gre-math- ... 24947.html
Our GRE quant book https://gre.myprepclub.com/forum/gre-prep- ... html#p5077
Our GRE Quantitative Comparison Questions Directory by Topic & Difficulty
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B
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Re: The largest integer less than or equal to x [#permalink] New post   12 Nov 2021, 20:43
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\(\lfloor x \rfloor =\) the largest integer less than or equal to \(x\)

Qt A :: \(\lfloor -1.5 \rfloor\) \(= -2\)

Qt B :: \( - \lfloor 1.5 \rfloor\) \(= -1\)

Qt B > Qt A

Answer B
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The largest integer less than or equal to x [#permalink] New post   12 Nov 2021, 20:45
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The simplest way is to form a number line

Quantity A
-1.5 lies between -2 and -1

It says largest integer less than or equal to x, which means integer which is just left to -1.5, which is -2

Quantity B
1.5 lies between 1 and 2

It says largest integer less than or equal to x, which means integer which is just left to 1.5, which is 1
The whole thing is negative so Quantity B is -1

Hence, Answer is B
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Re: The largest integer less than or equal to x [#permalink] New post   14 Nov 2021, 08:51
Answer B
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Re: The largest integer less than or equal to x [#permalink]
14 Nov 2021, 08:51
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