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If [x] is greatest even integer less than or equal to x, what is the value of [-2.4] + [-3.4] + [2.4] + [3.4] ?

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by AAPL » Tue Aug 17, 2021 2:22 pm

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If [x] is the greatest even integer less than or equal to x, what is the value of [-2.4] + [-3.4] + [2.4] + [3.4] ?

A. -4
B. -2
C. 0
D. 2
E. 4

OA A
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Re: If [x] is greatest even integer less than or equal to x, what is the value of [-2.4] + [-3.4] + [2.4] + [3.4] ?

by Brent@GMATPrepNow » Wed Aug 18, 2021 6:33 am
AAPL wrote: ↑
Tue Aug 17, 2021 2:22 pm
 E-GMAT

If [x] is the greatest even integer less than or equal to x, what is the value of [-2.4] + [-3.4] + [2.4] + [3.4] ?

A. -4
B. -2
C. 0
D. 2
E. 4

OA A
GIVEN: [x] is the greatest EVEN integer less than or equal x
For example, [8.2] = 8, since 8 is the greatest even integer that is less than (or equal) to 8.2
Likewise, [-1.7] = -2, since -2 is the greatest even integer that is less than (or equal to) -1.7
And [-6.3] = -8, since -8 is the greatest even integer that is less than (or equal to) -6.3


Now onto the question....
[-2.4] + [-3.4] + [2.4] + [3.4] = (-4) + (-4) + 2 + 2 = -4

Answer: A
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