question: Find 96 ×× 97
Options:
(A) 91/198
(B) 91/12
(C) 91/13
(D) 91/10
(E) 91/11
answer: Stream of consciousness: Here both numbers are less than 100. So they are deficient of - 4 and - 3 compared with 100. So The answer is (B).


q: Imagine a disk spinning like a record player turn table. Half of the disk is black and the other is white. Assume you have an unlimited number of color sensors. How many sensors would you have to place around the disk to determine the direction the disk is spinning? Where would they be placed?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
a: Stream of consciousness: 1 sensor between the black and white border on the edge of disk
1 is enough to determine the drection The answer is (A).


question: A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $222 for it, the cost price of the Cricket Bat for A is:
Options:
(A) 150
(B) 148
(C) 130
(D) 160
(E) 210
answer: Stream of consciousness: 125% of 120% of A = 222
125/100 * 120/100 * A = 222
A = 222 * 2/3 = 148. The answer is (B).


q: A train travels m miles in n hours. How many miles will it travel 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: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 20 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 60 miles
(B) 70 miles
(C) 90 miles
(D) 120 miles
(E) 400 miles
answer: Stream of consciousness: Answer = B. 70 miles
Relational speed = 130 - 100 = 30 miles per hour
In 3 hours, difference = 30 * 3 = 90 miles
Fast train trailing 20 miles, so effective difference = 90 - 20 = 70 miles The answer is (B).


question: If 10 crates have 99 apples each and how many apples more is required in order to make 100 apples in each crate?
Options:
(A) 5
(B) 10
(C) 15
(D) 20
(E) 0
answer:

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: Each crate requires 1 apples and totally there are 10 crates so required apples = 10 * 1 = 10 The answer is (B).