q: John makes $50 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 18%
(D) 21%
(E) 40%
a: Stream of consciousness: Increase = (20/50)*100 = 40%. The answer is (E).


question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Options:
(A) 40
(B) 48
(C) 45
(D) 50
(E) 25
answer: Stream of consciousness: D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 sec The answer is (B).


q: If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 228
(B) 162
(C) 5528
(D) 256
(E) 191
a: Stream of consciousness: 12 m/s = 12 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 12 * 18/5 * 15/4 km = 162 km. The answer is (B).


question: How many positive integers less than 50 have a reminder 01 when divided by 4?
Options:
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
answer: Stream of consciousness: 1 also gives the remainder of 1 when divided by 4. So, there are total of 13 numbers. The answer is (A).


q: What is the smallest positive integer x, such that 1,152x is a perfect cube?
Options:
(A) 4
(B) 6
(C) 8
(D) 12
(E) 18
a: Stream of consciousness: We need to make 1152x a perfect cube, hence we need to have the powers a multiple of 3
1152 = 2^7*3^2
The minimum value of x for which 1152x is a perfect cube = 2^2*3 = 12 The answer is (D).


q: How much is 60% of 40 is greater than 4/5 of 30?
Options:
(A) 8
(B) 3
(C) 7
(D) 0
(E) 1
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: (60/100) * 40 â€“ (4/5) * 30
24 - 24 = 0 The answer is (D).