If X and Y are both positive two-digit integers and share no digits, and X > Y, what is the smallest possible value of X - Y?
Options:
(A) 0
(B) 1
(C) 2
(D) 3
(E) 9
Answer and stream of consciousness: (B)
Stream of consciousness: Answer = B = 1
20 - 19 = 30-29 = 40-39 = 50-49 = 1

The average age of A, B and C is 29 years. If the average age of A and C is 32 years, what is the age of B in years ?
Options:
(A) 19
(B) 35
(C) 20
(D) 32
(E) 23
Answer and stream of consciousness: (E)
Stream of consciousness: Age of B = Age of (A + B + C) Age of (A + C) = 29 3 32 2 = 87 64 = 23 years

The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 36 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) 106.25
(B) 105.5
(C) 105.75
(D) 106
(E) 105.0
Answer and stream of consciousness: (E)
Stream of consciousness: Rate of flow of water in second hour = 36 gallons per hour
Rate of flow of water in first hour = 36/(3/2) = 24 gallons per hour
Rate of flow of water in third hour = (125/100)* 36 = (5/4) * 36 = 45 gallons per hour
Number of gallons of water that flowed through the pipe during the entire 3 hours = 24+36+45 = 105 gallons

There are 20 balls in a jar. You take out 2 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/5. How many blue balls were there in the beginning?
Options:
(A) 12.
(B) 9.
(C) 8.
(D) 7.
(E) 6.
Answer and stream of consciousness:
(A)
Stream of consciousness: 12 = 3 blue balls + 18 / 2