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: The ages of two persons differ by 16 years. If 6 years ago , the elder one be 3 times as old as the younger one, find their present ages .

 Option A: 10 years and 18 years

 Option B: 18 years and 26 years

 Option C: 20 years and 28 years

 Option D: 14 years and 30 years

 Option E: 16 years and 25 years
answer:
Option D


question:
Question: The number of diagonals of a polygon of n sides is given by the formula z=n(n-3)/2. If a polygon has twice as many diagonals as sides, how many sides does it have?

 Option A:  3

 Option B:  5

 Option C:  6

 Option D:  7

 Option E:  8
answer:
Option B


question:
Question: The area of the largest circle that can be drawn inside a square of side 42 Cm in length is:

 Option A: 1200

 Option B: 1428

 Option C: 1420

 Option D: 1356

 Option E: 1386
answer:

Option E