q: In how many different ways can the letters of the word 'PREPTY' be arranged?
Options:
(A) 230
(B) 240
(C) 260
(D) 280
(E) 360
a: Stream of consciousness: Number of ways = 61/21 6X5X4X3X2X1 - 360 The answer is (E).

question: If 2^4, 3^3, and 13^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 198
(B) 288
(C) 363
(D) 396
(E) 468
answer: Stream of consciousness: I will go with E (pending elements to match is 2^2*3^2*13^1 = 468 The answer is (E).

q: What should come in the place of the question mark(?) in the following equation?
2125 920 512 1017
Options:
(A) 7 77125
(B) 11 910
(C) 119450
(D) 1 2990
(E) None of these
a: Stream of consciousness: ? = 2125 209 512 1710 = 11990 = 12990 The answer is (D).

question: The sale price shirts listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 280
(B) 290
(C) Rs.342
(D) 250
(E) 253
answer: Stream of consciousness: 400*(90/100)* (95/100) = 342 The answer is (C).

q: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ?
Options:
(A) 5/16
(B) 5/12
(C) 5/19
(D) 5/17
(E) 5/15
a: Stream of consciousness: Using question number 11 and 12, we get the probability as
1 - (1/36 + 5/9) = 5/12 The answer is (B).

q: Each of three charities in Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors?
A.
B.
C.
D.
E.
Options:
(A) 8
(B) 13
(C) 16
(D) 24
(E) 27
a:
Stream of consciousness: Each group has 8 = 8+8+8 = 24 max
4 people are in 2 groups, subtract 4 people twice as they are counted twice
Each pair of groups has 5 in common, so in addition to the 4 people subtract 1 from each group
Ans: 8+8+8-(2(4)) - 3 = 13 The answer is (B).