If denotes to be the least integer no less than x, is

Question

If denotes to be the least integer no less than x, is zero? 1) =0 2) =0 OA is D... pls explain!

duttsit · Answer

Guess the trick here is to understand working of the question stem.
all its saying is:
  = x

rest is obvious:

(1) 2x = 0 or x = 0
(2) 3x = 0, x = 0

D.

mbaqst · Answer

Is it U for Unclear :wink:

I didn't like this Q for it's ambiquity. Q: =0 ? Given: is an int, >= x I interpreted no less than as >= and not as = Ambiguity: Is = 2* ?? It would be helpful to know more about thann what's already given. I would love to see the OE.

kfranson · Answer

x doesn't have to be an integer in this problem (you still get the same answer though).   means find the closest integer not less than x so:

  = 0
  = 1

Now for criteria #1:
Try x = -0.25
  =   = 0, b/c 0 is the smallest integer not less than -0.5. Now try x = -0.5
  =   = -1, b/c -1 is the smallest integer not less than -1. This is no good so x must be greater than -0.5 and less than or equal to 0

Now for criteria #2:
Same story, x must be greater than -0.3333 and less than or equal to 0

So in each case you can say that   = 0, in criteria #1 try  , it equals 0. Now for criteria #2 try  , it also equals 0 as 0 is the smallest integer not less than x.

If denotes to be the least integer no less than x, is

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