question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Options:
(A) 29
(B) 78
(C) 30
(D) 28
(E) 12
answer: Stream of consciousness: 20 + 24 + 8 * 2 = 60/2 = 30 The answer is (C).
--
question: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 24 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
Options:
(A) 61.25
(B) 62.5
(C) 63.75
(D) 70.0
(E) 77.5
answer: Stream of consciousness: Rate of flow of water in second hour = 24 gallons per hour
Rate of flow of water in first hour = 24/(3/2) = 16 gallons per hour
Rate of flow of water in third hour = (125/100)* 24 = (5/4) * 24 = 30 gallons per hour
Number of gallons of water that flowed through the pipe during the entire 3 hours = 16+24+30 = 70 gallons The answer is (D).
--
question: Train A & B leave from same station and reaches same destination but train A leaves half an after Train B & travels 2 times faster than B. Total distance is 100 miles & train B travels 50 miles/hour. Which train reaches the destination first & what is the time difference between the train
Options:
(A) Train A reaches 30 minutes before Train B
(B) Train B reaches 30 minutes before Train A
(C) Train A reaches 60 minutes before Train B
(D) Train B reaches 60 minutes before Train A
(E) None of the above
answer: Stream of consciousness: Time taken for train A = 30 minutes + d1/s1 = 30 minutes + 100 / 100 = 1 hours 30 minutes
Since Train B travels 50 miles / hour ; train A travels twice the speed of B which gives s1 = 100 miles/ hour
Time taken for train B = d2/s2 = 100 / 50 = 2 Hours
So Train A reaches 30 minutes before Train B The answer is (A).
--
question: How many seconds will a train 100 meters long take to cross a bridge 130 meters long if the speed of the train is 36 kmph?
Options:
(A) 23 sec
(B) 65 sec
(C) 25 sec
(D) 45 sec
(E) 24 sec
answer:
Stream of consciousness: D = 100 + 130 = 230
S = 36 * 5/18 = 10 mps
T = 230/10 = 23 sec The answer is (A).
--