q: Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Options:
(A) 8 hrs 85 min
(B) 8 hrs 18 min
(C) 8 hrs 15 min
(D) 6 hrs 15 min
(E) 3 hrs 15 min
a: Stream of consciousness: Number of pages typed by Ronald in 1 hour = 32/6 = 16/3
Number of pages typed by Elan in 1 hour = 40/5 = 8
Number of pages typed by both in 1 hour = (16/3 + 8) = 40/3
Time taken by both to type 110 pages = (110 * 3/40) = 8 1/4 = 8 hrs 15 min The answer is (C).

question: Elena's bread recipe calls for 3 ounces of butter for each 4 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?
Options:
(A) 1
(B) 4
(C) 9
(D) 13
(E) 16
answer: Stream of consciousness: Number of cups flour needed for 3 ounces of butter = 4
Number of cups flour needed for 1 ounce of butter = 4/3
Number of cups flour needed for 12 ounces of butter = 4/3 * 12 = 16 The answer is (E).

q: Solve:-
444 x 444 x 444 + 555 x 555 x 555 = ?(444 x 444 - 444 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 999
(D) 988
(E) 889
a: Stream of consciousness: Given Exp. = (a3 + b3) = (a + b) = (444 + 555) = 999(a2 - ab + b2) The answer is (C).

question: Steve traveled the first 5 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
Options:
(A) 53.33 mph
(B) 88 mph
(C) 60 mph
(D) 64 mph
(E) 66.67 mph
answer: Stream of consciousness: Average Speed = Total distance/ Total time = (40 * 5 + 80 * 3)/(5 + 3) = 440/5 = 88 The answer is (B).

q: Four of the five parts numbered (a),(b),(c),(d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Options:
(A) (a b) 2 + 4ab
(B) a(a + b) + b(a + b)
(C) (a2 b2) + 2b(b + a)
(D) (a b) b + (a + b) 2b
(E) (a + b) 2 2a(a b) + a(2a 2b)
a: Stream of consciousness: The other parts are equal to (a + b)2. The answer is (D).

q: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.
Options:
(A) 2205
(B) 3387
(C) 2882
(D) 2997
(E) 1278
a:
Stream of consciousness: A = 2000(21/20)2 = 2205 The answer is (A).