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.
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Question: Question: In how many ways, a committee of 5 members can be selected from
6 men and 5 ladies, consisting of 3 men and 2 ladies?

 Option A: 100

 Option B: 200

 Option C: 300

 Option D: 400

 Option E: 500

Answer: Option B


Question: Question: Rob traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different.

 Option A: z=3x

 Option B: x=3z

 Option C: y=2x

 Option D: x=2y

 Option E: y=3x

Answer: Option D


Question: Question: Which of the following equivalent to (1/27)^2?

 Option A: (0.10

 Option B: (0.11

 Option C: (0.12

 Option D: (0.13

 Option E: (0.14

Answer:
Option B