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: Consider two statements
Statement 1 => If A is an integer and A=2p+1 where p is not an integer.
Statement 2 => If B is an integer and B=2q where q is not an integer
Which of the following correctly specifies the Even/Odd nature of A and B respectively

 Option A: 1

 Option B: 2

 Option C: 3

 Option D: 4

 Option E: 5

A: Option E
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Q: Question: Sum of 19 odd numbers is?

 Option A: 341

 Option B: 351

 Option C: 361

 Option D: 371

 Option E: 381

A: Option C
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Q: Question: In how many ways can 5 boys and 3 girls be seated on 7 chairs so that no two girls are together?

 Option A: 5760

 Option B: 14400

 Option C: 480

 Option D: 56

 Option E: 1440

A:
Option E
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