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: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?

 Option A: Rs.2.9

 Option B: Rs.2.1

 Option C: Rs.2.5

 Option D: Rs.2.2

 Option E: Rs.2.7
[A]: Option C


[Q]: Question: Let Y be the smallest positive integer such that 12 and 8 are factors of 20*Y, So the value of Y is:

 Option A: 7

 Option B: 9

 Option C: 11

 Option D: 13

 Option E: 15
[A]:
Option B