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.

[Q]: 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
[A]: Option A


[Q]: 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!
[A]: Option B


[Q]: Question: Siddharth wants to borrow Rs.4000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?

 Option A: s.21.60

 Option B: s.21.68

 Option C: s.21.18

 Option D: s.14.4

 Option E: s.21.29
[A]:
Option D