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: Three number are in the ratio 5:6:7. The sum of its largest and smallest numbers equals the sum of the third number and 48. Find the third number?

 Option A: 87

 Option B: 57

 Option C: 48

 Option D: 26

 Option E: 28

Output: Option C


Input: Consider Input: Question: In how many ways can the letters of word DEVELOP be arranged such that all the vowels as well as all the Consonants always appear together?

 Option A: 9!

 Option B: 3!*4!*2!

 Option C: 5!*5!

 Option D: 5!*4!*2!

 Option E: 6!*4!

Output: Option B


Input: Consider Input: Question: In how many different number of ways 1 boys and 2 girls can sit on a bench?

 Option A: 700

 Option B: 7

 Option C: 6

 Option D: 8

 Option E: 1


Output: Option C