Look at this series: 0.6, 0.3, ____, 0.075, 0.0375, ... What number should fill the blank?
Options:
(A) 0.015
(B) 1.15
(C) 0.15
(D) 0.25
(E) 0.35
Answer and stream of consciousness: (C)
Stream of consciousness: This is a simple multiplication series. Each number is multiple by 1/2.

A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 3.5 km long?
Options:
(A) 4
(B) 3
(C) 5
(D) 7
(E) 9
Answer and stream of consciousness: (C)
Stream of consciousness: D = 25 * 60 + 3500 = 5000 m
T = 5000/60 * 18/5 = 300 sec = 5 mins

There are 3 teams each with 8 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?
Options:
(A) 50
(B) 23
(C) 192
(D) 28
(E) 45
Answer and stream of consciousness: (C)
Stream of consciousness: There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 64 possibilities (8*8) since each team has 8 players. So there are a total of 192 possibilities (64*3). I hope this method is easier for you to understand.

Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 170 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 3 sec
(B) 8 sec
(C) 9 sec
(D) 5 sec
(E) 7 sec
Answer and stream of consciousness:
(B)
Stream of consciousness: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 170 + 100 = 270 m
T = 270 * 3/100 = 8 sec