The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Options:
(A) 277
(B) 266
(C) 300
(D) 767
(E) 211
Answer and stream of consciousness: (C)
Stream of consciousness: 1/2:1/3:1/4 = 6:4:3
3/13*1300 = 300

Solve:-
666 x 666 x 666 + 555 x 555 x 555 = ?(666 x 666 - 666 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 1221
(E) 889
Answer and stream of consciousness: (D)
Stream of consciousness: Given Exp. = (a3 + b3) = (a + b) = (666 + 555) = 1221(a2 - ab + b2)

Before lunch, a painter can paint a wall at a rate of r square feet per minute. The same painter, after lunch and a cup of coffee, can paint the same wall at a rate r + 1 square feet per minute, and the same wall would be finished in 30 seconds less time. What is the value of r?
Options:
(A) 1/3
(B) 3
(C) 1/2
(D) 1
(E) 2
Answer and stream of consciousness: (D)
Stream of consciousness: Convert 30 seconds to 1/2 minute
Equation: 1/r = 1/(r + 1) + 1/2
Plug options into the equation:
D fits: 1/1 = 1/(1 + 1) + 1/2

A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.9880. Find the share of A?
Options:
(A) 3002
(B) 3000
(C) 3018
(D) 3019
(E) 4000
Answer and stream of consciousness:
(E)
Stream of consciousness: 60*5:36*6:75*3
100: 72: 75
100/247 * 9880 = 4000