q: The average of first 15 even numbers is?
Options:
(A) 10
(B) 11
(C) 12
(D) 16
(E) 14
a: Stream of consciousness: Sum of 15 even numbers = 15 * 16 = 240
Average = 240/15 = 16 The answer is (D).

question: Assisants are needed to prepare for preparation. Each helper can make either 2 large cakes or 35 small cakes/hour. The kitchen is available for 3hours and 20 large cakes and 700small cakes are needed. How many helpers are required?
Options:
(A) 9
(B) 10
(C) 13
(D) 16
(E) 18
answer: Stream of consciousness: 20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour. This means if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers. The answer is (B).

q: What is the probability of rolling a nine with two, fair, six-sided dice?
Options:
(A) 1/6
(B) 1/9
(C) 2/13
(D) 1/12
(E) 5/36
a: Stream of consciousness: There are 4 ways to roll a nine: 3 and 6, 6 and 3, 4 and 5, 5 and 4 with two six-sided dice. There are 6 times 6 = 36 ways to roll two dice. The probability of rolling a 9 is thus 4/36 = 1/9. The answer is (B).

question: An analyst will recommend a combination of 1 industrial stocks, 1 transportation stocks, and 1 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 3 stocks are possible?
Options:
(A) 12
(B) 19
(C) 60
(D) 180
(E) 720
answer: Stream of consciousness: 5C1 * 4C1 * 3C1 = 5*4*3 = 60. The answer is (C).

q: A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $234 for it, the cost price of the Cricket Bat for A is:
Options:
(A) 156
(B) 120
(C) 130
(D) 160
(E) 210
a: Stream of consciousness: 125% of 120% of A = 234
125/100 * 120/100 * A = 234
A = 234 * 2/3 = 156. The answer is (A).

q: How much more would Rs.30000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Options:
(A) 482
(B) 725
(C) 992
(D) 837
(E) 723
a:
Stream of consciousness: 30000(11/10)4 - 30000(6/5)2 = 723 The answer is (E).