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: A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 160 square feet and its length is 6 feet longer than its width. If the uniform width between the rug and room is 6 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?

 Option A: 32

 Option B: 456

 Option C: 40

 Option D: 46

 Option E: 104
[A]: Option B


[Q]: Question: The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.500 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?

 Option A: 620

 Option B: 720

 Option C: 820

 Option D: 920

 Option E: 1020
[A]: Option C


[Q]: Question: When x is even, [x] = x/2 + 1, when x is odd [x] = 2x + 1 then [6]*[3] = ?

 Option A: [22]

 Option B: [44]

 Option C: [45]

 Option D: [28]

 Option E: [10]
[A]:
Option D