Which of the following is a prime number ?
Options:
(A) 27
(B) 45
(C) 97
(D) 98
(E) 100
Answer and stream of consciousness: (C)
Stream of consciousness: Clearly, 97 is a prime number.


What is the are of an equilateral triangle of side 4 cm?
Options:
(A) 64√5
(B) 4√3
(C) 64√4
(D) 64√3
(E) 64√2
Answer and stream of consciousness: (B)
Stream of consciousness: Area of an equilateral triangle = √3/4 S2
If S = 4, Area of triangle = √3/4 * 4 * 4 = 4√3 cm2;


The average mark obtained by 22 candidates in an examination is 46. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Options:
(A) 22
(B) 0
(C) 19
(D) 18
(E) 16
Answer and stream of consciousness: (A)
Stream of consciousness: It is clear that 22 x 46 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 22


Approximately what percent of the employees with 5 or more years of employment are NOT taking either workshop?
Options:
(A) 86%
(B) 64%
(C) 50%
(D) 14%
(E) 7%
Answer and stream of consciousness:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
(B)
Stream of consciousness: Total = n(A) + n(B) - Both + None
None = Total - n(A) - n(B) + Both
Calculate "none" for each case
None(5+ yrs Line) = 200 - 50 - 40 + 30 = 140
None(5+ yrs Staff) = 160 - 40 - 50 + 20 = 90
Employees not taking either workshop/Total number of employees = (140 + 90)/(200 + 160) = 230/360 = About 64%