instruction:
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.
question:
Question: Marge has 3 pumps for filling her swimming pool. When all 3 pumps work at their maximum rates, the swimming pool is filled in 66 minutes. Pump 1's maximum rate is twice the maximum rate of pump 2 and four times the maximum rate of pump 3. How long would it take Marge to fill the pool if she used only pump 3 at its maximum rate ?

 Option A: 2hrs, 48mins

 Option B: 6hrs, 32mins

 Option C: 7hrs, 12mins

 Option D: 13hrs, 4mins

 Option E: 7hrs, 42mins
answer:
Option E


question:
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:

 Option A: 3500

 Option B: 4000

 Option C: 4050

 Option D: 5000

 Option E: 6000
answer:
Option B


question:
Question: A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most?

 Option A: 277

 Option B: 269

 Option C: 215

 Option D: 177

 Option E: 123
answer:

Option C