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: P is three times as fast as Q and working together, they can complete a work in 18 days. In how many days can Q alone complete the work?

 Option A: 24

 Option B: 77

 Option C: 88

 Option D: 55

 Option E: 778
answer:
Option A


question:
Question: Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?

 Option A: 14 min 19 sec

 Option B: 14 min 42 sec

 Option C: 14 min 20 sec

 Option D: 14 min 40 sec

 Option E: 14 min 10 sec
answer:
Option D


question:
Question: n a series of numbers , the next number is formed by adding 1 to the sum of the previous numbers, and the 10th number is 1280. Then what is the first number in the series? (series will be like this x , x+1, (x+(x+1))+1,....... )

 Option A: 2

 Option B: 4

 Option C: 5

 Option D: 7

 Option E: 9
answer:

Option B