If [k] denotes the least integer greater than k, is [k] = 0?

Question

If   denotes the least integer greater than k, is   = 0?

(1) |k + 1⁄2| ≤ 1⁄2 
(2) 0 ≤ k

SiyaGupta · Answer

The correct answer is D

Archit3110 · Answer

given f   denotes the least integer greater than k
taget is   = 0
so value of K has to be -1 to be true

#1
|k + ½| ≤ ½ 
we get K<=0 so yes and no 
and K >=1 ; definite no
insufficient
#2
0≤ k
K is least 1 or 0 in both cases target is NO
sufficient
OPTION B

BrentGMATPrepNow · Answer

Given : denotes the least integer greater than k Some examples: = 6 = 3 = 0 Target question : Is = 0? Statement 1 : |k + ½| ≤ ½ Two properties involving absolute value inequalities: Property #1: If |something| < k, then –k < something < k Property #2: If |something| > k, then EITHER something > k OR something < -k Note: these rules assume that k is positive So, statement 2 is telling us that: -½ ≤ k + ½ ≤ ½ Subtract ½ from all 3 parts: -1 ≤ k ≤ 0 So, if k = -1, then the answer to the target question is YES, = 0 If k = 0, then the answer to the target question is NO, does not equal 0 Since we can’t answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2 : 0 ≤ k If k = 0, then = = 1. So, the answer to the target question is NO, does not equal 0 Since 0 ≤ k, we can conclude that can never equal 0 Since we can answer the target question with certainty, statement 2 is SUFFICIENT Answer: B

BrentGMATPrepNow · Answer

You're half right

Cheers, Brent

bumpbot · Answer

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If [k] denotes the least integer greater than k, is [k] = 0?

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