Solve:-
333 x 333 x 333 + 555 x 555 x 555 = ?(333 x 333 - 333 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 988
(E) 889
Answer and stream of consciousness: (A)
Stream of consciousness: Given Exp. = (a3 + b3) = (a + b) = (333 + 555) = 888(a2 - ab + b2)

A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is?
Options:
(A) 277
(B) 268
(C) 270
(D) 150
(E) 282
Answer and stream of consciousness: (D)
Stream of consciousness: 125% of 120% of A = 225
125/100 * 120/100 * A = 225
A = 225 * 2/3 = 150.

A wheel rotates 20 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in one hour?
Options:
(A) 4 metre
(B) 12 metre
(C) 240 metre
(D) 2400 metre
(E) 130 metre
Answer and stream of consciousness: (C)
Stream of consciousness: Number of times wheel moves in 1 hour = 20 * 60 = 1200
:. Distance moves = (1200*20) cms = 24000 cms
In metres = 240 metre

10 men and 15 women together can complete a work in 4 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Options:
(A) 100 days
(B) 667 days
(C) 177 days
(D) 187 days
(E) 225 days
Answer and stream of consciousness:
(A)
Stream of consciousness: 1 man's 1 day work = 1/100
(10 men + 15 women)'s 1 day work = 1/4
15 women's 1 day work = (1/4 - 10/100) = 3/20
1 woman's 1 day work = 1/100
1 woman alone can complete the work in 100 days.