question: What is the are of an equilateral triangle of side 12 cm?
Options:
(A) 645
(B) 649
(C) 644
(D) 363
(E) 642
answer: Stream of consciousness: Area of an equilateral triangle = 3/4 S2
If S = 12, Area of triangle = 3/4 * 12 * 12 = 363 cm2; The answer is (D).

q: The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?
Options:
(A) 22 yrs
(B) 34 yrs
(C) 27 yrs
(D) 28 yrs
(E) 19 yrs
a: Stream of consciousness: Total age of players in team = 22 x 11 = 242
When coach is included, total members = 12, Avg age increases by one becomes 23
Total age when coach is included = 23x12 = 276
Age of coach = 276-242 = 34 yrs. The answer is (B).

question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 53% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Options:
(A) 60%
(B) 50%
(C) 25%
(D) 18%
(E) 10%
answer: Stream of consciousness: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 53 - {both} + 40
{both} = 18%. The answer is (D).

q: The average of 13 numbers is 60. Average of the first 6 of them is 57 and that of the last 8 is 61. Find the 8th number?
Options:
(A) 46
(B) 48
(C) 50
(D) 52
(E) 54
a: Stream of consciousness: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 6 of them = 6 * 57 = 342
Sum of the last 8 of them = 8 * 61 = 488
So, the 8th number = 342 + 488 - 780 = 50. The answer is (C).

question: A 240 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 228
(B) 144
(C) 1266
(D) 188
(E) 211
answer: Stream of consciousness: S = 240/6 * 18/5 = 144 kmph The answer is (B).

question: A 160 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 96 kmph
(B) 94 kmph
(C) 92 kmph
(D) 86 kmph
(E) 76 kmph
answer:
Stream of consciousness: S = 160/6 * 18/5 = 96 kmph The answer is (A).