How many factors does 35^2 have?
Options:
(A) 2
(B) 8
(C) 24
(D) 25
(E) 26
Answer and stream of consciousness: (C)
Stream of consciousness: 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 6*4 = 24

Two persons A and B can complete a piece of work in 18 days and 24 days respectively. If they work together, what part of the work will be completed in 2 days?
Options:
(A) 7/36
(B) 9/35
(C) 4/37
(D) 8/35
(E) 5/3
Answer and stream of consciousness: (A)
Stream of consciousness: A's one day's work = 1/18
B's one day's work = 1/24
(A + B)'s one day's work = 1/18 + 1/24 = 7/72
The part of the work completed in 3 days = 2 (7/72) = 7/36.

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

Grace has 20 jellybeans in her pocket. She has 12 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Options:
(A) 4
(B) 8
(C) 12
(D) 13
(E) 17
Answer and stream of consciousness:
(E)
Stream of consciousness: The worst scenario is when she takes 12 red and 4 green, total of 16 jellybeans, and still doesn't have 3 distinct colors. But the next draw (17th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.