A train running at the speed of 30 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
(A) 75 m
(B) 180 m
(C) 324 m
(D) Cannot be determined
(E) None of these
Answer and stream of consciousness: (A)
Stream of consciousness: Speed = 30 * 5/18 = 25/3 m/sec
Length of the train = speed * time = 25/3 * 9 = 75 m

An analyst will recommend a combination of 1 industrial stocks, 1 transportation stocks, and 1 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 3 stocks are possible?
Options:
(A) 12
(B) 19
(C) 60
(D) 180
(E) 720
Answer and stream of consciousness: (C)
Stream of consciousness: 5C1 * 4C1 * 3C1 = 5*4*3 = 60.

A light has a rating of 60 watts, it is replaced with a new light that has 12% higher wattage. How many watts does the new light have?
Options:
(A) 105
(B) 67
(C) 80
(D) 60
(E) 100
Answer and stream of consciousness: (B)
Stream of consciousness: Final number = Initial number + 12%(original number) = 60 + 12%(60) = 60 + 7 = 67

What is the are of an equilateral triangle of side 24 cm?
Options:
(A) 663 cm2
(B) 743 cm2
(C) 643 cm2
(D) 645 cm2
(E) 1443 cm2
Answer and stream of consciousness:
(E)
Stream of consciousness: Area of an equilateral triangle = 3/4 S2
If S = 24, Area of triangle = 3/4 * 24 * 24 = 1443 cm2;