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: Two pipes P and Q can fill a cistern in 12 and 14 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?

 Option A: 11 1/2 min

 Option B: 11 1/4 min

 Option C: 11 2/4 min

 Option D: 11 1/5 min

 Option E: 10 1/2 min

A: Option E
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Q: Question: 5, 9, 17, 29, 45, ?

 Option A: 65

 Option B: 56

 Option C: 74

 Option D: 57

 Option E: 32

A: Option A
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Q: Question: If a and b are each greater than x and y, which of the following must be true?
I. ab < xy
II.a + b > x + y
III. |a| + |b| > |x| + |y|

 Option A: I only

 Option B: II only

 Option C: I and II

 Option D: I and III

 Option E: I, II and III

A:
Option B
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