SudhanshuSingh wrote:
jfdelgado wrote:
If "x" denotes the greatest integer less than or equal to x, is "x"=0?
(1)−1<x<1
(2)x<0
Statement 1 :-
-1<x<1
Let x be 0.5. "0.5" is greatest integer less than or equal to 0.5. . This implies "x" = 1. Ans - No
Let x be -0.5 . "-0.5" is greatest integer less than or equal to -0.5. This implies "x" = 0. Ans - Yes
No definite value of x. Not sufficient.
Statement 2 :-
x<0.
Let x be -2.5 . "-2.5" is greatest integer less than or equal to -2.5. This implies "x" = -2.
Let x be -1.5 . "-1.5" is greatest integer less than or equal to -1.5. This implies "x" = -1.
For all the cases x is not ZERO.
Hence Sufficient.
Answer B.
Greatest integer less than or equal to means if the no. Is 1.5 = 1 , -1.5 = -2
Statement 1
If x= 0.5 then greatest integer less than or equal to will be 0
If x = - 0.5 then greatest integer less than or equal to will be -1
So not possible to answer
Statement 2
If x = - 0.5 then greatest integer less than or equal to will be -1
X= -1.5 then -2 .....so on
So it is always less than 0.hence sufficient
Option (b)