question: In a race with 30 runners where 5 trophies will be given to the top 7 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Options:
(A) 8^8 ways
(B) 8^9 ways
(C) 7^5 ways
(D) 8^7 ways
(E) 8^6 ways
answer: Stream of consciousness: 7 people can be prized with 5 distinct prizes in 7^5 ways The answer is (C).

q: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 44 men reap in 54 days?
Options:
(A) 820 acres
(B) 660 acres
(C) 620 acres
(D) 720 acres
(E) 920 acres
a: Stream of consciousness: 12 men 120 acres 36 days
44 men ? 54 days
120 * 44/12 * 54/36
10 * 44 * 3/2
44 * 15 = 660 The answer is (B).

question: The average of five numbers is 9. The average of first two numbers is 7 and the average of last two numbers is 12. What is the middle number?
Options:
(A) 7
(B) 8
(C) 5
(D) 10
(E) 6
answer: Stream of consciousness: The total of five numbers = 5x9 = 45
The total of first 2 and last 2 numbers is = 2 X 7+2 X 12 = 38
So, the middle number is (45 - 38 ) = 7 The answer is (A).

q: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Options:
(A) 125 m
(B) 104 m
(C) 140 m
(D) 152 m
(E) 150 m
a: Stream of consciousness: D = 90 * 5/18 * 5 = 125 m The answer is (A).

question: If 4 men can paint 60 m long wall in 3 days, then 5 men can paint 50 m long wall in
Options:
(A) 3days
(B) 2days
(C) 5days
(D) 6days
(E) 1day
answer: Stream of consciousness: The length of wall painted by one man in one day = 60 / 4 3 = 5 m
No. of days required to paint 50 m wall by 5 men = 50/ 5 5 = 2 day. The answer is (B).

question: How should be added in order to make 2345672 this number is divisible by 9?
Options:
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
answer:
Stream of consciousness: Sum of the numbers 2345672 is 29 which is not multiple of 9
Add 7 which makes the sum 36 which is multiple of 9
So digit becomes 2345679 (as we know that if sum multiple of 9 then it is divisible of 9) The answer is (C).