Greatest positive integer less than or equal to y

[neeti2711]

For any number y, y* is defined as the greatest positive even integer less than or equal to y. What is the value of 5.2 - 5.2*?

(A) 0.2
(B) 1.2
(C) 1.8
(D) 2.2
(E) 4.0

[Brent@GMATPrepNow]

For any number y, y* is defined as the greatest positive even integer less than or equal to y. What is the value of 5.2 - 5.2*?

(A) 0.2
(B) 1.2
(C) 1.8
(D) 2.2
(E) 4.0

If y* is defined as the greatest positive even integer less than or equal to y, then 5.2* = 4 (since 4 is the greatest positive even integer that's less than or equal to 5.2)

So, 5.2 - 5.2* = 5.2 - 4 = [spoiler]1.2 = B[/spoiler]

Cheers,
Brent

[neeti2711]

isn't 5 the greatest possible integer less than 5.2?

[MaRLo]

^ yes, but he wants the greatest EVEN integer less than 5.2 which is 4

[neeti2711]

ofcourse! thanks!