Four of the five parts numbered as (a), (b), (c), (d) and (e)in the following equations are exactly equal. You have to find out the part that is not equal to the other parts. The number of that part is the answer.
Options:
(A) a2 + 5ab + 6b2
(B) (a + 3b) (a + 2b) 
(C) a(a + 3b)  + 2b(a + 3b) 
(D) (3a + b) (a + 2b) 
(E) a(a + 2b)  + 3b(a + 2b) 
Answer and stream of consciousness: (D)
Stream of consciousness: The other parts are equal to a2 + 5ab + 6b2.


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;


In a is a positive integer smaller than 200 and (14a)/60 is an integer, then a has how many different positive prime factors?
Options:
(A) 2
(B) 3
(C) 5
(D) 6
(E) 8
Answer and stream of consciousness: (B)
Stream of consciousness: 7a/30 tells us that a is a factor of 30, which has 2, 3, and 5 as its prime factors. Each of them is distinct. Moreover, all multiples of 30 less than 200 can be derived by multiplying these prime factors alone. Thus, number of different prime factors is 3.


A sum of money doubles itself at a compound interest in 15 years . In how may years it will become 8 times ??
Options:
(A) 30 years
(B) 40 years
(C) 45 years
(D) 50 years
(E) 60 years
Answer and stream of consciousness:
(C)
Stream of consciousness: If the sum doubles (x2) in 15 years, then it to become 2*2*2 = 8 times as large it should double three times, so three 15 years time period are needed, which is 3*15 = 45 years.