q: 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 5 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 60 miles
(B) 80 miles
(C) 90 miles
(D) 120 miles
(E) 85 miles
a: Stream of consciousness: Answer = E. 85 miles
Relational speed = 130 - 100 = 30 miles per hour
In 3 hours, difference = 30 * 3 = 90 miles
Fast train trailing 5 miles, so effective difference = 90 - 5 = 85 miles The answer is (E).

question: Which of the following is not divisible by 4?
Options:
(A) 10236
(B) 21792
(C) 47816
(D) 91232
(E) 72034
answer: Stream of consciousness: Divisibility rule of 4: Last two digits of the number should be divisible by 4
Option A: 10236, last two digits = 36. Divisible by 4
Option B: 21792, last two digits = 92. Divisible by 4
Option C: 47816, last two digits = 16. Divisible by 4
Option D: 91232, last two digits = 32. Divisible by 4
Option E: 72034, last two digits = 34. Not divisible by 4. Hence 72034 is not divisible by 4 The answer is (E).

q: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 hours after the first, and reaches Pune hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:9
(C) 1:1
(D) 1:9
(E) 3:2
a: Stream of consciousness: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2 The answer is (A).

question: Three pipes A, B and C can fill a tank from empty to full in 20 minutes, 20 minutes and 30 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
Options:
(A) 1/2
(B) 1/5
(C) 1/3
(D) 1/4
(E) 1/6
answer: Stream of consciousness: Part filled by (A + B + C) in 3 minutes = 3(1/20 + 1/20 + 1/30) = 6/15
Part filled by C in 3 minutes = 3/30
Required ratio = 3/30 * 15/6 = 1/4 The answer is (D).

q: In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is
Options:
(A) 22
(B) 7
(C) 8
(D) 6
(E) 51
a: Stream of consciousness: Let the number of cows be x and the number of hens be y. Then, 4x + 2y = 2 (x + y) + 14 4x + 2y = 2x + 2y + 14 2x = 14 x = 7. The answer is (B).

q: Jasmine has a toaster with two slots that toasts one side of each piece of bread at a time, and it takes one minute to do so.
If she wants to make 3 pieces of toast, what is the least amount of time she needs to toast them on both sides?
Options:
(A) 1
(B) 2
(C) 3 min
(D) 4
(E) 5
a:
Stream of consciousness: 3 minutes. She puts two pieces in the toaster, toasting one side of each. Then she flips one of them, takes one out, and puts the completely untoasted piece into the toaster. Finally, she takes out the toasted piece and puts the two half-toasted pieces of bread into the toaster for a minute and she's done. The answer is (C).