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)