question:An archer is shooting arrows from various distances. She shoots at a target from 40 yards, 50 yards, and 60 yards. The probability that she hits within the bullseye from 40 yards is 4/5, the probability that she hits within the bullseye from 50 yards is 3/4, and the probability that she hits within the bullseye from 60 yards is 2/3. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.
Options:
(A) 39/40
(B) 49/50
(C) 59/60
(D) 9/10
(E) 14/15
answer:(C)
Stream of consciousness:The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)
The probability that she misses every shot = (prob that she misses from 40 yards)*(prob that she misses from 50 yards)*(prob that she misses from 60 yards)
Prob that she misses from 40 yards = 1 - 4/5 = 1/5; Prob that she misses from 50 yards = 1 - 3/4 = 1/4; Prob that she misses from 60 yards = 1 - 2/3 = 1/3
Thus the probability that she misses all shots = (1/5)*(1/4)*(1/3) = 1/60
Thus the probability that she makes at least one shot = 1 - (1/60) = 59/60

question:(4300731)-! = 2535618. Find value of !?
Options:
(A) 1213441
(B) 2354546
(C) 4354556
(D) 2435454
(E) 1765113
answer:(E)
Stream of consciousness:Let 4300731 - ! = 2535618
Then !, = 4300731 - 2535618 = 1765113

question:A train 400 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Options:
(A) 32
(B) 56
(C) 29
(D) 27
(E) 21
answer:
(B)
Stream of consciousness:S = (400 + 300)/45 = 700/45 * 18/5 = 56