q: Find the value of y from (12)^3 x 6^4÷432 = y?
Options:
(A) 5618
(B) 5232
(C) 5889
(D) 5184
(E) 5132
a: 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 (D).


question: A no.when divided by 242 gives a remainder 100, what remainder will be obtainedby dividingthe same no.18?
Options:
(A) 15
(B) 16
(C) 17
(D) 18
(E) 19
answer: Stream of consciousness: 242 + 100 = 342/18 = 19 (Remainder) The answer is (E).


q: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2345
(B) 3456
(C) 2334
(D) 3456
(E) 5184
a: 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).


question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
(A) 5 sec
(B) 4 sec
(C) 3 sec
(D) 6 sec
(E) 1 sec
answer: Stream of consciousness: T = 60/36 * 18/5 = 6 sec The answer is (D).


q: You are filling up your car with gas. Your tank can hold 19 gallons. Your car started with x gallons in it. You paid $20 in gas. What was the cost of gas per gallon?
Options:
(A) 19/20
(B) x/20
(C) (19-x) /20
(D) x-19) /20
(E) 19+20/x
a: Stream of consciousness: Amount of gas you added to your car: 19-x
Price per gallon: (19-x)/20 The answer is (C).


q: A man rows his boat 78 km downstream and 56 km upstream, taking 4 hours each time. Find the speed of the stream?
Options:
(A) 6
(B) 5
(C) 7
(D) 8
(E) 3
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
Stream of consciousness: Speed downstream = d/t = 78/(4) = 20 kmph
Speed upstream = d/t = 56/(4) = 14 kmph
The speed of the stream = (20 - 14)/2 = 3 kmph The answer is (E).