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{x} is defined as the least integer greater than x for all odd values

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{x} is defined as the least integer greater than x for all odd values  [#permalink]

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New post 17 Oct 2018, 23:55
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{x} is defined as the least integer greater than x for all odd values of x, and the greatest integer less than x for all even values of x. What is the value of {-2} - {5} ?

(A) –12
(B) –9
(C) –8
(D) –7
(E) 3

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Re: {x} is defined as the least integer greater than x for all odd values  [#permalink]

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New post 18 Oct 2018, 00:11
Bunuel wrote:
{x} is defined as the least integer greater than x for all odd values of x, and the greatest integer less than x for all even values of x. What is the value of {-2} - {5} ?

(A) –12
(B) –9
(C) –8
(D) –7
(E) 3


From the question stem, if X=odd, then {x} will be least integer greater than X and
if X=even, then {x} will be greatest integer less than X and

So, value of {-2}=-3 ; as -2 is an even no. &
value of {5}= 6 ; as 5 is an odd no.

therefore, {-2}-{5}= -3-6=-9, Hence B is the correct answer.
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Re: {x} is defined as the least integer greater than x for all odd values   [#permalink] 18 Oct 2018, 00:11
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