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: 8 persons can build a wall 140m long in 42 days. In how many days can 30 persons complete a similar wall 100 m long?

 Option A: 12

 Option B: 10

 Option C: 8

 Option D: 6

 Option E: 5
[A]: Option C


[Q]: Question: Which of the following is always true for any real number 'a' and 'b'?

 Option A: |ab| = |a||b|

 Option B: |a/b| = |a|/|b|

 Option C: |-ab| < |a||b|

 Option D: |ab| > |a/b|

 Option E: |ab| = -|ab|
[A]: Option A


[Q]: Question: You have been given a physical balance and 7 weights of 40, 42, 36, 33, 47, 52 and 67 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 169 kgs.

 Option A: 163

 Option B: 166

 Option C: 162

 Option D: 164

 Option E: 165
[A]:
Option E