TASK DEFINITION: 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.
PROBLEM: Question: Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 54. Find the third number?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E

SOLUTION: Option E

PROBLEM: Question: There are six cards in which it has two king cards. all cards are turned down and two cards are opened what is the possibility to get two kings.

 Option A: 1/15

 Option B: 2/15

 Option C: 3/15

 Option D: 4/15

 Option E: 6/15

SOLUTION: Option A

PROBLEM: Question: The H.C.F. of two numbers is 30 and the other two factors of their L.C.M. are 10 and 15. The larger of the two numbers is:

 Option A: 350

 Option B: 250

 Option C: 450

 Option D: 500

 Option E: 620

SOLUTION:
Option C