A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 22 sec
(B) 16 second
(C) 77 sec
(D) 55 sec
(E) 17 sec
Answer and stream of consciousness: (B)
Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec

Three men rent a pasture for Rs. 660. The first used it for 50 sheep for 4 months, the 2nd for 40 sheep for 3 months and the 3rd for 46 sheep for 5 months. How much should the first pay ?
Options:
(A) Rs. 220
(B) Rs. 235
(C) Rs. 240
(D) Rs. 276
(E) Rs. 286
Answer and stream of consciousness: (D)
Stream of consciousness: The payment should be in ratio of 200:120:230 or 20:12:23
First person should pay 20*660/55 = 240 Rs.

A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
Options:
(A) 6
(B) 2
(C) 3
(D) 4
(E) 98
Answer and stream of consciousness: (B)
Stream of consciousness: Work done by A in 2 days = 2/5
Remaining work = 3/5
Work done by both A and B in one day = 1/5 + 1/10 = 3/10
Remaining work = 3/5 * 10/3 = 2 day

A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 300. How much did he have with him in the beginning?
Options:
(A) s 200
(B) s 750
(C) s 300
(D) s 450
(E) s 550
Answer and stream of consciousness:
(B)
Stream of consciousness: Suppose the amount in the beginning was Rs 'x'
Money spent on clothes = Rs 1x/3 Balance = Rs 2x/3
Money spent on food = 1/5 of 2x/3 = Rs 2x/15
Balance = 2x/3 - 2x/15 = Rs 8x/15
Money spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5
Therefore 2x/5 = 300 = 750