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The largest integer less than or equal to x
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12 Nov 2021, 11:49
12 Nov 2021, 11:49
Expert Reply
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Question Stats:
62% (00:37) correct
37% (00:55) wrong based on 16 sessions
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\(\lfloor x \rfloor =\) the largest integer less than or equal to x
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
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
Re: The largest integer less than or equal to x
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12 Nov 2021, 20:43
12 Nov 2021, 20:43
1
\(\lfloor x \rfloor =\) 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
Qt A :: \(\lfloor -1.5 \rfloor\) \(= -2\)
Qt B :: \( - \lfloor 1.5 \rfloor\) \(= -1\)
Qt B > Qt A
Answer B
The largest integer less than or equal to x
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12 Nov 2021, 20:45
12 Nov 2021, 20:45
1
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
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
