question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 600 kms and City A and City C is 460 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Options:
(A) 8/3
(B) 3/8
(C) 8/5
(D) 5/8
(E) 40/23
answer: Stream of consciousness: Distance traveled by Eddy = 600 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 600/3 = 200 km/hour
Distance traveled by Freddy = 460 km
Time taken by Freddy = 4 hours
Average speed of Freddy = 460/4 = 115 km/hour
Ratio of average speed of Eddy to Freddy = 200/115 = 40/23 The answer is (E).

q: One-fourth of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water?
Options:
(A) 1/2
(B) 1/3
(C) 1/5
(D) 1/6
(E) 1/4
a: Stream of consciousness: 135 litres = 1/4 of tank
180 litres = 1/4 x 180/135 = 1/3 The answer is (B).

question: How many digits are in the number 50^8 8^3 11^2 x 10^2?
Options:
(A) 22
(B) 20
(C) 21
(D) 18
(E) 17
answer: 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 11^2 x 10^2 = (5^2*2)^8*2^9*11^2x 10^2 = 5^16*2^17*11^2 x10^2 = 2*11^2*10^16x10^2 = 242*10^18
Hence we would have 16 trailing 0's and the three digits from 242
Total digits = 3 + 18 = 21 The answer is (C).

q: A man pointing to a photo says "The lady in the photograph is my nephew's maternal grandmother". How is the lady in the photograph related to the man's sister who has no other sister ?
Options:
(A) Cousin
(B) Sister-in-law
(C) Mother
(D) Mother-in-law
(E) None of these
a: Stream of consciousness: Since the man is referring to his nephew, the nephew's parent has to be a sibling to the man. Now the last part says that the man's sister has no other sister and hence the brother-sister relationship is established between the man and his nephew's mother. Now the lady in the picture is the grandmother of the nephew and hence she is the mother of the man's sister. The answer is (C).

question: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have
Options:
(A) 4
(B) 6
(C) 9
(D) 10
(E) 5
answer: Stream of consciousness: To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides and bottom, hence 4+1 = 5. The answer is (E).

question: In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient?
Options:
(A) 0
(B) 12
(C) 13
(D) 20
(E) 22
answer:
Stream of consciousness: Number = (12 * 35) = 420
Correct quotient = 420/21 = 20 The answer is (D).