question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land twice on heads and once on tails?
Options:
(A) 1/16
(B) 1/3
(C) 1/6
(D) 1/2
(E) 1/8
answer: Stream of consciousness: Must be once on twice and once on tails
1/2*1/2*1/2 = 1/8 The answer is (E).

q: The number N is 5,1H4, where H represents the ten's digit. If N is divisible by 9, what is the value of H?
Options:
(A) 1
(B) 3
(C) 8
(D) 7
(E) 9
a: Stream of consciousness: Integer is divisible by 9 - Sum of digits is divisible by 9 The answer is (C).

question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4 min
(B) 8 min
(C) 9 min
(D) 6 min
(E) 1 min
answer: Stream of consciousness: S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min The answer is (A).

q: How many digits are in the number 50^8 8^3 11^3?
Options:
(A) 22
(B) 20
(C) 19
(D) 18
(E) 17
a: Stream of consciousness: Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10
50^8 8^3 11^3 = (5^2*2)^8*2^9*11^3 = 5^16*2^17*11^3 = 2*11^3*10^16 = 2662*10^16
Hence we would have 16 trailing 0's and the three digits from 2662
Total digits = 4 + 16 = 20 The answer is (B).

question: 8, 27, 64, 100, 125, 216, 343
Options:
(A) 40
(B) 100
(C) 290
(D) 102
(E) 293
answer: Stream of consciousness: The pattern is 23, 33, 43, 53, 63, 73. But, 100 is not a perfect cube. The answer is (B).

question: A train 650 m long is running at a speed of 117 km/hr. In what time will it pass a bridge 325 m long?
Options:
(A) 30
(B) 35
(C) 40
(D) 45
(E) 50
answer:
Stream of consciousness: Speed = 117 * 5/18 = 65/2 m/sec
Total distance covered = 650 + 325 = 975 m
Required time = 975 * 2/65 = 30 sec The answer is (A).