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 fourth proportional to 12, 14 and 12 is?

 Option A: 14

 Option B: 66

 Option C: 77

 Option D: 88

 Option E: 99
answer:
Option A


question:
Question: A certain sum earns simple interest of Rs. 800 in 2 years at a certain rate of interest. If the same sum earns compound interest of Rs.900in the same period of 2 years, What must be the rate of interest?

 Option A: 25%

 Option B: 10%

 Option C: 15%

 Option D: 20%

 Option E: 30%
answer:
Option A


question:
Question: If 8 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?

 Option A: 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

 Option B: 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

 Option C: 8 × 9

 Option D: 28

 Option E: 45
answer:

Option D