For every X, the action [X] is

For every X, the action [X] is defined in the following matter: [X] is the greatest integer that is smaller or equal to X. For example: [8.9] = 8.

What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] – 6.6 ?

(a) 15.8.
(b) 16.2.
(c) 16.4.
(d) 14.4.
(e) 12.6.

The best answer is A.
[6.5] x [2/3] + [2] x 7.2 + [8.4] – 6.6 = 6 x 0 + 2 x 7.2 + 8 - 6.6 = 15.8.


If  (1 < A < 3 < B), then which of the following expressions is the largest?

(a) (B+2)/(A-1).
(b) (B-2)/(A+1).
(c) A/B.
(d) (B-2)/(A-1).
(e) B/A.

The best answer is A.

Try some numbers and check the answers. A=2, B=4.
(a) 6/1 = 6.
(b) 2/3.
(c) 1/2.
(d) 2.
(e) 2.