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.

[EX Q]: Question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.145. Find the unknown rate of two towels?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E
[EX A]: Option A

[EX Q]: Question: For any positive integer Y, the sum of the first Y positive integers equals Y(Y+1)/2 . If X and Y are positive integers and X > Y, what is the sum of all the integers between X and Y, inclusive?

 Option A:  X(X+1

 Option B:  X(X+1

 Option C:  X(X+1

 Option D:  X(X+1

 Option E:  X(Y+1
[EX A]: Option B

[EX Q]: Question: In X game of billiards, X can give Y 10 points in 60 and he can give Z 30 points in 60. How many points can Y give Z in X game of 100?

 Option A: 30

 Option B: 20

 Option C: 25

 Option D: 40

 Option E: 50
[EX A]:
Option D