prernamalhotra wrote:[y] denotes the greatest integer less than or equal to y. Is d<1?
1) d = y-[y]
2) [d]=0
Thank you,
Prerna
Statement 1:
If y=1, then d = 1 - [the greatest integer less than or equal to 1] = 1-1 = 0.
If y=-1, then d = -1 - [the greatest integer less than or equal to -1] = -1 - (-1) = 0.
If y=1/2, then d = 1/2 - [the greatest integer less than or equal to 1/2] = 1/2 - 0 = 1/2.
If y=-1/2, then d = -1/2 - [the greatest integer less than or equal to -1/2] = -1/2 - (-1) = 1/2.
In every case, d < 1.
SUFFICIENT.
Statement 2:
If d=1, then [d] = the greatest integer less than or equal to 1 = 1.
Not possible, since [d] must be equal to 0.
If d=1.5, then [d] = the greatest integer less than or equal to 1.5 = 1.
Not possible, since [d] must be equal to 0.
If d=2, then [d] = the greatest integer less than or equal to 2 = 2.
Not possible, since [d] must be equal to 0.
Implication:
It is not possible for d to be greater than or equal to 1.
Thus, d < 1.
SUFFICIENT.
The correct answer is
D.
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