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: 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 900 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Options:
(A) 8/3
(B) 3/8
(C) 8/5
(D) 4/1
(E) 5/3
answer: Stream of consciousness: Distance traveled by Eddy = 900 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 900/3 = 300 km/hour
Distance traveled by Freddy = 300 km
Time taken by Freddy = 4 hours
Average speed of Freddy = 300/4 = 75 km/hour
Ratio of average speed of Eddy to Freddy = 300/75 = 4/1 The answer is (D).

q: Anmol can eat 27 pastries in a hour.
Aakriti can eat 2 pastries in 10 minutes.
Divya can eat 7 pastries in 20 minutes.
How long will it take them to eat a 360 pastries ?
Options:
(A) 6 hours.
(B) 1 hours.
(C) 5 hours.
(D) 4 hours.
(E) 3 hours.
a: Stream of consciousness: In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 360 pastries would take 360 60 = 6 hours. The answer is (A).

question: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 43
(B) 30
(C) 35
(D) 45
(E) 50
answer: Stream of consciousness: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 780 = 46. The answer is (A).

q: At what rate percent on simple interest will a sum of money double itself in 70 years?
Options:
(A) 1 3/7%
(B) 3 1/9%
(C) 3 9/3%
(D) 3 2/3%
(E) 3 6/3%
a: Stream of consciousness: P = (P*70*R)/100
R = 1 3/7% The answer is (A).

q: For some integer y, y^2 - 5 is divisible by all of the following EXCEPT
Options:
(A) 29
(B) 30
(C) 31
(D) 38
(E) 41
a:
Stream of consciousness: Hint: y^2-5 (y is an integer) is never multiple of 3 (try to prove this), hence 30 is out. The answer is (B).