instruction:
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.
question:
Question: If x is to be chosen at random from the set {1, 2, 3} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?

 Option A:  1/6

 Option B:  1/3

 Option C:  1/2

 Option D:  2/3

 Option E:  5/6
answer:
Option E


question:
Question: A rectangular garden is to be twice as long as it is wide. If 900 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

 Option A: 40

 Option B: 50

 Option C: 60

 Option D: 200

 Option E: 300
answer:
Option E


question:
Question: Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?

 Option A: Rs. 4, Rs. 23

 Option B: Rs. 13, Rs. 17

 Option C: Rs. 15, Rs. 14

 Option D: Rs. 17, Rs. 13

 Option E: Rs. 19, Rs. 15
answer:

Option B