q: In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability E at least one of the shirts he draws will be blue?
Options:
(A) 25/153
(B) 28/153
(C) 5/17
(D) E=4/9
(E) E=12/17
a: Stream of consciousness: P(at least one blue) = 1 - P(0 blue) = 1 - 10/18*9/17 = 12/17. The answer is (E).

question: Preethi has 6 flavors of ice cream in his parlor. How many options are there for Dorathy to pick a one-flavor, two-flavor, three-flavor, four-flavor, five flavor or six flavor order?
Options:
(A) 26
(B) 36
(C) 64
(D) 67
(E) 63
answer: Stream of consciousness: 6C1 + 6C2+ 6C3+6C4+6C5+6C6 = 63. The answer is (E).

q: Find the odd man out
253, 136, 352, 326, 631, 244
Options:
(A) 326
(B) 136
(C) 352
(D) 631
(E) 531
a: Stream of consciousness: The sum all three digits comes to 10 except 326 The answer is (A).

question: A can do a work in 9 days and B can do the same work in 18 days. If they work together, in how many days will they complete the work?
Options:
(A) 6 days
(B) 7 days
(C) 5 days
(D) 3 days
(E) 2 days
answer: Stream of consciousness: One day's work of A and B = 1/9 + 1/8 = (2+1)/18 = 1/6 So, the time taken to complete the work is 6 days. The answer is (A).

q: 10 people meet and shake hands. The maximum number of handshakes possible if there is to be no "cycle" of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, , ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, , {ak-1, ak}, {ak, a1} shake hands).
Options:
(A) 7
(B) 6
(C) 9
(D) 8
(E) 10
a: Stream of consciousness: The question is not written in proper manner but we can work in 3 methods
1) If these are random handshakes, then total methods = 10*9/2*1 = 45
2) If these are cyclic handshakes, then total methods = 10
3) If these persons are not cyclic but they are arranged in a straight bench, then number of methods = 9 The answer is (C).

q: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 3456
(B) 4567
(C) 4789
(D) 5678
(E) y=5184
a:
Stream of consciousness: Given Exp. = (12)3 x 64 = (12) 3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).