q: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 27
(B) 29
(C) 31
(D) 34
(E) 35
a: Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27 The answer is (A).

question: If 5 spiders can catch five flies in five minutes, how many flies can hundred spiders catch in 100 minutes?
Options:
(A) 100
(B) 1000
(C) 500
(D) 2000
(E) None
answer: Stream of consciousness: 5 5 x = 100 100 5 x = 2000. The answer is (D).

q: During a sale, the price of a pair of shoes is marked down 12% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Options:
(A) 9%
(B) 10%
(C) 11%
(D) 14%
(E) 90%
a: Stream of consciousness: Assume the price = 100
Price during sale = 88
Price after sale = 100
Percent increase = 12/88*100 = 14% approx. The answer is (D).

question: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train.
Options:
(A) 175 m
(B) 145 m
(C) 140 m
(D) 200 m
(E) 155 m
answer: Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 12 = 200 meter The answer is (D).

q: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 100 kmph. Find the speed of the boat in still water and the speed of the stream?
Options:
(A) 70, 10 kmph
(B) 35, 27 kmph
(C) 50, 60 kmph
(D) 80, 20 kmph
(E) 45, 65 kmph
a: Stream of consciousness: Speed of the boat in still water = (60+100)/2 = 80 kmph. Speed of the stream = (100-60)/2 = 20 kmph The answer is (D).

q: Which of the options is a two-digit number, which has a unit's digit that exceeds its ten's digit by 6 and the product of the given number and the sum of its digits is equal to 136.
Options:
(A) 82
(B) 93
(C) 39
(D) 28
(E) 17
a:
Stream of consciousness: Using the elimination method the option that fits this description is 17
7-1 = 3 (unit's digit that exceeds its ten's digit by 3)
17*8 = 136 (the product of the given number and the sum of its digits is equal to 175) The answer is (E).