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: If x is an integer such that 5 < x < 21, 7 < x < 18, 13 > x > 2, 12 > x > 9, and x + 1 < 13, then x is

 Option A: 3

 Option B: 5

 Option C: 7

 Option D: 9

 Option E: 11
[A]: Option E


[Q]: Question: If the least common multiple of two prime numbers x and y is 10, where x > y, then the value of 2x + y is

 Option A: 7

 Option B: 9

 Option C: 11

 Option D: 12

 Option E: 21
[A]: Option D


[Q]: Question: In a class there are 10 boys and 15 girls. In how many ways can a boy and a girl be selected?

 Option A: 150

 Option B: 500

 Option C: 600

 Option D: 530

 Option E: 630
[A]:
Option A