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: If j and k are integers whose product is 400, which of the following statements must be true?

 Option A: n + k > 0

 Option B: n is not equal to k.

 Option C: Either n or k is a multiple of 10.

 Option D: If n is even, then k is odd.

 Option E: If j is odd, then k is even.
[A]: Option E


[Q]: Question: P and Q started a business investing Rs. 85,000 and Rs. 20,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?

 Option A: 17:6

 Option B: 17:0

 Option C: 17:4

 Option D: 17:2

 Option E: 17:3
[A]: Option C


[Q]: Question: How many kg of sugar costing Rs. 9/kg must be mixed with 27kg of sugar costing Rs. 7/ kg so that there may be a gain of 10% the mixture at Rs. 9.24 per kg?

 Option A: 45

 Option B: 47

 Option C: 49

 Option D: 52

 Option E: 63
[A]:
Option E