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: An amount of Rs. 75000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?

 Option A: s. 46875; Rs. 28125

 Option B: s. 62500; Rs. 37500

 Option C: s. 72500; Rs. 27500

 Option D: s. 82500; Rs. 17500

 Option E: s. 72500; Rs. 17500
Option A

Question: 10 3/4 + 7 2/17 - 9 1/15=?

 Option A: 7 719/1020

 Option B: 9 817/1020

 Option C: 9 719/1020

 Option D: 8 817/1020

 Option E: None of them
Option D

Question: If a and b are both odd prime numbers and a < b, then how many different positive integer factors does 2ab have?

 Option A: 3

 Option B: 4

 Option C: 6

 Option D: 8

 Option E: 12

Option D