q: Calculate the largest 6 digit number which is exactly divisible by 55?
Options:
(A) 999955
(B) 999900
(C) 999845
(D) 999790
(E) 999735
a: Stream of consciousness: Largest 4 digit number is 999999
After doing 999999 55 we get remainder 44
Hence largest 4 digit number exactly divisible by 88 = 999999 - 44 = 999955 The answer is (A).

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 80 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) 80 miles
(C) 90 miles
(D) 130 miles
(E) 400 miles
answer: Stream of consciousness: Answer = D. 130 miles
Relational speed = 130 - 80 = 50 miles per hour
In 3 hours, difference = 50 * 3 = 150 miles
Fast train trailing 20 miles, so effective difference = 150 - 20 = 130 miles The answer is (D).

q: Which one of the following is not a prime number?
Options:
(A) 51
(B) 61
(C) 71
(D) 82
(E) 91
a: Stream of consciousness: 91 is divisible by 7. So, it is not a prime number. The answer is (E).

question: A train 640 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 22 kmph
(B) 77 kmph
(C) 144 kmph
(D) 71 kmph
(E) 88 kmph
answer: Stream of consciousness: S = 640/16 * 18/5 = 144 kmph The answer is (C).

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).

q: A 180 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?
Options:
(A) 72
(B) 108
(C) 1266
(D) 188
(E) 211
a:
Stream of consciousness: S = 180/9 * 18/5 = 72 kmph The answer is (A).