Q: 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%
A: OK... 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%
The answer is (B).

Q: There are 23 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Options:
(A) 39
(B) 40
(C) 51
(D) 58
(E) 63
A: OK... Stream of consciousness: {Total} = {M} + {N} - {Both}
{Total} = 23 + 28 - 12 = 39.
The answer is (A).

Q: Four of the following five parts numbered (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.
Options:
(A) 2x2 3xy + y2
(B) (2x + y) (x y)
(C) (x y) 2 + x(x y)
(D) (2x y) 2 x(2x y)
(E) (2x y) 2 2x2 + xy
A: OK... Stream of consciousness: Other parts are equal to
2x2 + y2 3xy.
The answer is (B).

Q: If n is the greatest positive integer for which 4^n is a factor of 8!, then n =?
Options:
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
A:
OK... Stream of consciousness: 8! = 40320
E. 4^10 = 1048576 (40320/1048576) - this is not a factor of 8!
D. 4^8 = 65536 (40320/65536) - this is not a factor of 8!
C. 4^6 = 4096 (40320/4096) - this is not a factor of 8!
B. 4^4 = 256 (40320/256) - this is not a factor of 8!
A. 4^2 = 16 (40320/16) - this is a factor of 8!
The answer is (A).