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: X is a prime number bigger than 10. Also, Y = X+X^3+X^5+X^7. What is definitely true about Y?

 Option A: Y is a prime number.

 Option B: Y is odd.

 Option C: Y is even.

 Option D: Y is divisible by 3.

 Option E: Y is divisible by 7.

Answer: Option C


Question: Question: How many words can be formed by taking 4 letters at a time out of the letters of the word MATHEMATICS.

 Option A: 2154

 Option B: 2454.

 Option C: 2254

 Option D: 2354

 Option E: 1245

Answer: Option B


Question: Question: A construction company wants to number new houses using digit plates only. If the company puts an order for 312 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).

 Option A: 140

 Option B: 150

 Option C: 160

 Option D: 170

 Option E: 180

Answer:
Option A