There are different 15 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 390
(B) 100
(C) 110
(D) 180
(E) 210
Answer and stream of consciousness: (E)
Stream of consciousness: Maximum points of intersection between n different circles = n*(n - 1) = 15*14 = 210


90 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 135
(D) 140
(E) 160
Answer and stream of consciousness: (C)
Stream of consciousness: Final number = Initial number + 50%(original number) = 90 + 50%(90) = 90 + 45 = 135.


The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 25
(B) 27
(C) 29
(D) 32
(E) 34
Answer and stream of consciousness: (B)
Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27


Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 4 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
Options:
(A) 30
(B) 20
(C) 18
(D) 12
(E) 6
Answer and stream of consciousness:

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
(D)
Stream of consciousness: 21-12 < no of hrs < 21-6
9< no of hrs < 17.