q: A cheetah runs m miles in n hours. How many miles will it run in x hours at the same rate?
Options:
(A) mnx
(B) m⁄n
(C) mx⁄n
(D) mx
(E) mn⁄x
a: Stream of consciousness: Given Speed = m/n
To Find distance in x hours with same speed
Distance = speed * time
Distance = m/n*x = mx/n The answer is (C).


question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 3452
(B) 2343
(C) 2435
(D) 2578
(E) 5184
answer: 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).


q: A 120 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 229
(B) 108
(C) 278
(D) 72
(E) 112
a: Stream of consciousness: S = 120/6 * 18/5 = 72 kmph The answer is (D).


question: The year next to 1991 having the same calendar as that of 1990 is –
Options:
(A) 1998
(B) 2001
(C) 2002
(D) 2003
(E) None of these
answer: Stream of consciousness: We go on counting the odd days from 1991 onward still the sum is divisible by 7. The number of such days are 14 upto the year 2001. So, the calender for 1991 will be repeated in the year 2002. The answer is (C).


q: How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 28
(C) 29
(D) 11
(E) 12
a: Stream of consciousness: (60/100) * 50 – (40/100) * 30
30 - 12 = 18 The answer is (A).


q: Which of the following is equal to the average (arithmetic mean) of (x+3)^2 and (x-3)^2?
Options:
(A) x^2
(B) x^2+2
(C) x^2 +4
(D) x^2+9
(E) x^2+4x
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: Avg = [(x+3)^2 + (x-3)^2] / 2
Expanding and simplifying, (x^2 + 6x + 9 + x^2 - 6x + 9 ) / 2 = x^2 + 9 The answer is (D).