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.

Input: Consider Input: Question: A six-character password consists of three letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?

 Option A: 5,040

 Option B: 2,228,720

 Option C: 22,226,000

 Option D: 22,237,440

 Option E: 22,464,000

Output: Option E


Input: Consider Input: Question: A contractor undertakes to built a walls in 50 days. He employs 60 peoples for the same. However after 25 days he finds that only 40% of the work is complete. How many more man need to be employed to complete the work in time?

 Option A: 25

 Option B: 90

 Option C: 35

 Option D: 20

 Option E: None of these

Output: Option B


Input: Consider Input: Question: At what rate percent per annum will a sum of money double in 16 years

 Option A: 6 ¼ % p.a

 Option B: 6 % p.a

 Option C: 8¼ % p.a

 Option D: 3 ¼ % p.a

 Option E: 7 ¼ % p.a


Output: Option B