q: The average of seven numbers is 9. The average of first three numbers is 7 and the average of last three numbers is 11. What is the middle number?
Options:
(A) 7
(B) 8
(C) 9
(D) 11
(E) 10
a: Stream of consciousness: The total of seven numbers = 7X9 = 63
The total of first 3 and last 3 numbers is = 3 X 7+3 X 11 = 54
So, the middle number is (63 - 54 ) = 9 The answer is (C).


question: What will come in place of the x in the following Number series? 2, 7, 32, 157, 782, x
Options:
(A) 3707
(B) 3790
(C) 3910
(D) 3907
(E) 3970
answer: Stream of consciousness: 2
2 x 5 - 3 = 7
7 x 5 - 3 = 32
32 x 5 - 3 = 157
157 x 5 - 3 = 782
782 x 5 - 3 = 3907 The answer is (D).


q: A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train.
Options:
(A) 110 meter
(B) 120 meter
(C) 100 meter
(D) 90 meter
(E) 105 meter
a: Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 6 = 100 meter The answer is (C).


question: A, B and C can do a work in 7 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Options:
(A) 2 50/59
(B) 2 5/59
(C) 2 2/50
(D) 2 2/59
(E) 2 1/59
answer: Stream of consciousness: Work done by all three of them in one day = 1/7 + 1/8 + 1/12 = 59/168
The number of days required = 168/59 = 2 50/59 days. The answer is (A).


q: 1,2,2,4,8,32,?(mult)
Options:
(A) 2816
(B) 1816
(C) 2812
(D) 2817
(E) 6816
a: Stream of consciousness: Each number is the product of the previous two numbers, ie 8*32 = 2816. The answer is (A).


q: In the "Big-Reds" parking lot there are 56 vehicles, 18 of them are buses and the rest are private cars. The color of 32 vehicles is red, from which 17 are buses. How many private cars can be found in the parking lot, which are not colored red?
Options:
(A) 1.
(B) 15
(C) 17
(D) 20
(E) 23
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: Total Vehicles = 56
Buses = 18
Private Cars = 38
Total red vehicles = 32
Total red buses = 17
Total Red cars = 15
Total cars that are not red = 38 - 15 = 23 The answer is (E).