q: Grace has 17 jellybeans in her pocket. She has 9 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) 14
(E) 16
a: Stream of consciousness: The worst scenario is when she takes 9 red and 4 green, total of 13 jellybeans, and still doesn't have 3 distinct colors. But the next draw (14th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket. The answer is (D).

question: A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15?
Options:
(A) 13
(B) 11
(C) 9
(D) 1
(E) 3
answer: Stream of consciousness: 45 + 31 = 76/15 = 1 (Remainder) The answer is (D).

q: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 8, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?
Options:
(A) 20
(B) 22
(C) 24
(D) 27
(E) 30
a: Stream of consciousness: Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes The answer is (D).

question: When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder S when N is divided by 30?
Options:
(A) (a) 4
(B) (b) 7
(C) (c) 11
(D) (d) 13
(E) (e) 17
answer: Stream of consciousness: N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder S when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1. The answer is (C).

q: The average of first 10 even numbers is?
Options:
(A) 17
(B) 199
(C) 16
(D) 11
(E) 123
a: Stream of consciousness: Sum of 10 even numbers = 10 * 11 = 110
Average = 110/10 = 11 The answer is (D).

q: What is the maximum number of pieces of birthday cake of size 5" by 5" that can be cut from a cake 15" by 15"?
Options:
(A) 5
(B) 10
(C) 16
(D) 20
(E) 9
a:
Stream of consciousness: The prompt is essentially asking for the maximum number of 5 x 5 squares that can be cut from a larger 15 by 15 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 3 'pieces' each, we have (3)(3) = 9 total smaller squares (at maximum). The answer is (E).