TASK DEFINITION: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.
PROBLEM: Question: Amit, Raju and Ram agree to pay their total electricity bill in the proportion 3 : 4 : 5. Amit pays first day's bill of Rs. 50, Raju pays second day's bill of Rs. 55 and Ram pays third day's bill of Rs. 75. How much amount should Amit pay to settle the accounts?

 Option A: Rs. 15.25

 Option B: Rs. 17

 Option C: Rs. 12

 Option D: Rs. 5

 Option E: NONE OF THE ABOVE

SOLUTION: Option D

PROBLEM: Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?

 Option A: 5768

 Option B: 5760

 Option C: 5762

 Option D: 5766

 Option E: 5712

SOLUTION: Option B

PROBLEM: Question: Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating simultaneously, can fill a certain tank in 2 hours; pumps A and C, operating simultaneously, can fill the tank in 3/2 hours; and pumps B and C, operating simultaneously, can fill the tank in 2 hours. How many hours does it take pumps A, B, and C, operating simultaneously, to fill the tank.

 Option A: 1/3

 Option B: 1/2

 Option C: 1/4

 Option D: 1

 Option E: 5/6

SOLUTION:
Option C