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{x} is a smallest integer greater than or equal to x and [x]

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{x} is a smallest integer greater than or equal to x and [x]

by Max@Math Revolution » Thu Apr 11, 2019 12:25 am

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[GMAT math practice question]

{x} is a smallest integer greater than or equal to x and [x] is a greatest integer less than or equal to x. What is the value of
$$\left[\frac{2.5}{\left\{2.5\right\}}\right]-\left\{\frac{2.5}{\left[2.5\right]}\right\}$$

A. -2
B. -1
C. 0
D. 1
E. 2
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by Max@Math Revolution » Sun Apr 14, 2019 5:31 pm
=>
$$\left[\frac{2.5}{2.5}\right]-\left\{\frac{2.5}{\left[2.5\right]}\right\}$$
$$=\left[\frac{2.5}{3}\right]-\left\{\frac{2.5}{2}\right\}$$
$$=0-2$$
$$=-2$$

Therefore, the answer is A.
Answer: A
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