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.

[Q]: Question: Twelve participants are participating in a competition. In how many ways can the first three prizes be won?

 Option A: 1320

 Option B: 680

 Option C: 820

 Option D: 720

 Option E: 620
[A]: Option A


[Q]: Question: P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?

 Option A: 11 days

 Option B: 16 days

 Option C: 13 days

 Option D: 15 days

 Option E: 19 days
[A]: Option B


[Q]: Question: On dividing a certain number by 5, 7 and 8 successively, the remainders obtained are 2, 3 and 4 respectively. When the order of division is reversed and the number is successively divided by 8, 7 and 5, the respective remainders R will be:[/b]

 Option A: 3, 3, 2

 Option B: 3, 4, 2

 Option C: 5, 4, 3

 Option D: R=5, 5, 2

 Option E: 6, 4, 3
[A]:
Option D