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 the average (arithmetic mean) of 18 consecutive odd integers is 414, then the least of these integers is

 Option A: a

 Option B: b

 Option C: c

 Option D: d

 Option E: e

A: Option A
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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
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Q: Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 50 as remainder. Find the no. is?

 Option A: 145646

 Option B: 236578

 Option C: 645353

 Option D: 456546

 Option E: 220050

A:
Option E
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