question: The average of seven numbers is 18. The average of first three numbers is 16 and the average of last three numbers is 20. What is the middle number?
Options:
(A) 20
(B) 22
(C) 25
(D) 18
(E) 24
answer: Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 16+3 X 20 = 108
So, the middle number is (126 - 108 ) = 18 The answer is (D).

q: Sixteen telegenic contestants with a variety of personality disorders are to be divided into two "tribes" of three members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?
Options:
(A) 120
(B) 126
(C) 252
(D) 560
(E) 1260
a: Stream of consciousness: My ans is 16C3 = 560 The answer is (D).

question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 27?
Options:
(A) 21
(B) 22
(C) 23
(D) 24
(E) 25
answer: Stream of consciousness: (1056 / 27) gives remainder 3
24 + 3 = 27, So we need to add 24 The answer is (D).

q: Calculate the largest 6 digit number which is exactly divisible by 55?
Options:
(A) 999955
(B) 999900
(C) 999845
(D) 999790
(E) 999735
a: Stream of consciousness: Largest 4 digit number is 999999
After doing 999999 55 we get remainder 44
Hence largest 4 digit number exactly divisible by 88 = 999999 - 44 = 999955 The answer is (A).

question: A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
Options:
(A) 356
(B) 278
(C) 300
(D) 279
(E) 150
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 18 = 300 m The answer is (C).

question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 hours after the first, and reaches Pune hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:5
(C) 1:3
(D) 1:1
(E) 1:7
answer:
Stream of consciousness: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2 The answer is (A).