Q: What approximate value should come in place of the question mark (?) in the following equation’?
3 3⁄5 of 157.85 + 39% of 1847 = ? – 447.30
Options:
(A) 1200
(B) 1500
(C) 1600
(D) 1800
(E) 2100
A: OK... Stream of consciousness: ? ≈ 18⁄5 × 160 + 40⁄1000 × 1850 + 450
≈ 576 + 740 + 450 ≈ 1760 ≈ 1800
The answer is (D).

Q: 1,2,2,4,8,32,?(mult)
Options:
(A) 2816
(B) 1816
(C) 2812
(D) 2817
(E) 6816
A: OK... Stream of consciousness: Each number is the product of the previous two numbers, ie 8*32 = 2816.
The answer is (A).

Q: In 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. How must the balls be divided so as to give a person who draws 1 ball from either bag-
Options:
(A) 9/18
(B) 9/16
(C) 9/11
(D) 9/12
(E) 9/13
A: OK... Stream of consciousness: (1) Put 1 white in first bag, and all the remaining ball in second bag. Probability = 12×0+12×51612×0+12×516 = 532532
(2) To maximize, we put 1 red in the first bag, and all the remaining in the second. Probability = 12×1+12×43212×1+12×432 = 9/16
The answer is (B).

Q: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2356
(B) 3467
(C) 4567
(D) 5189
(E) 5184
A:

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
OK... Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
The answer is (E).