q: The average of seven numbers is 18. The average of first three numbers is 12 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 25
(B) 27
(C) 29
(D) 33
(E) 34
a: Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 12+3 X 19 = 99
So, the middle number is (126 - 93 ) = 33 The answer is (D).

question: In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. The total number of family members is
Options:
(A) 3
(B) 7
(C) 10
(D) 12
(E) 15
answer: Stream of consciousness: 1-1/4 = remain cake 3/4
3/4*3 = 9/4
9/4+1/4 = 10 The answer is (C).

q: A car finishes a journey in ten hours at the speed of 65 km/hr. If the same distance is to be covered in five hours how much more speed does the car have to gain?
Options:
(A) 8 km/hr
(B) 10 km/hr
(C) 65 km/hr
(D) 16 km/hr
(E) None of these
a: Stream of consciousness: Distance covered by the car = 65 10 = 650 km
\ Speed = 6505 = 130 km/hr
\ Speed gain = 130 65 = 65 km/hr The answer is (C).

question: In how many different ways can the letters of the word "FAME" be rearrangement?
Options:
(A) 26
(B) 24
(C) 28
(D) 12
(E) 30
answer: Stream of consciousness: Option 'B'
The total number of arrangements is
4P4 = 4! = 24 The answer is (B).

q: The average age of a family of 6 members is 22 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?
Options:
(A) 15
(B) 18
(C) 21
(D) 12
(E) 19
a: Stream of consciousness: Present age of total members = 6 X 22 = 132
7 yrs back their ages were = 6 x 7 = 42
Ages at the birth of youngest member = 132 - 42 = 90
Therefore, avg age at the birth of youngest member = 90/6 = 15. The answer is (A).

q: Let the second number be 3x, so that the first number is 6x and the third number is 2x.
Options:
(A) 22
(B) 77
(C) 98
(D) 27
(E) 36
a:
Stream of consciousness: 6x + 3x + 2x = 132 x = 12. Second number = 3x = 312 = 36. The answer is (E).