question: The average of twelve numbers is 7. The average of first nine numbers is 6 and the average of last two numbers is 10. What is the middle number?
Options:
(A) A) 9
(B) B) 10
(C) C) 12
(D) D) 7
(E) E) 13
answer: Stream of consciousness: The total of twelve numbers = 12X7 = 84
The total of first 9 and last 2 numbers is = 9 X 6+2 X 10 = 74
So, the middle number is (84 - 74 ) = 10 The answer is (B).

q: A 21 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 12
(B) 6
(C) 88
(D) 77
(E) 14
a: Stream of consciousness: 1: 2/5 = 5: 2
2/7 * 21 = 6 The answer is (B).

question: 5,9,19,31,51,__
Options:
(A) 84
(B) 80
(C) 81
(D) 82
(E) 83
answer: Stream of consciousness: (9+5) +5 = 19
(16+9) +6 = 31
(28+16)+7 = 51
(48+28)+8 = 84 The answer is (A).

q: Count the numbers between 10 - 99 which yield a remainder of 3 when divided by 9 and also yield a remainder of 2 when divided by 5?
Options:
(A) Two
(B) Five
(C) Six
(D) Four
(E) One
a: Stream of consciousness: Answer = A) Two
Numbers between 10 - 99 giving remainder 3 when divided by 9 = 12, 21, 30, 39, 48, 57, 66, 75, 84, 93
The Numbers giving remainder 2 when divided by 5 = 12, 57 = 2 The answer is (A).

question: A boy runs 200 metres in 24 seconds. What is his speed ?
Options:
(A) 20 km/hr
(B) 24 km/hr
(C) 28.5 km/hr
(D) 30 km/hr
(E) 35 km/hr
answer: Stream of consciousness: 200/24 * 18/5 = 30 km/hr The answer is (D).

question: Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race?
Options:
(A) 32
(B) 77
(C) 279
(D) 27
(E) 91
answer:
Stream of consciousness: Total five rounds were run. So in the final round 2 teams must have participated. In the penultimate round 4 teams, and 3rd round 8, 2nd round 16 and in the first round 32 teams must have participated as in each round half of the teams got eliminated. The answer is (A).