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.

Input: Consider Input: Question: In the class of 100 students, 50 speak Hindi and 70 speak English. What is the lowest possible number of students who
speak both the languages?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E

Output: Option C


Input: Consider Input: Question: How many odd 4-digit positive integers R that are multiples of 5 can be formed without using the digit 3?

 Option A: 648

 Option B: 729

 Option C: 900

 Option D: 1296

 Option E: 3240

Output: Option A


Input: Consider Input: Question: Gill drives 120 miles from Los Angeles to San Diego to fetch a package. On her way there she drives at 40 miles per hour. On her way back she drives 50% faster. What is Gill's average velocity Q for the round trip?

 Option A: 24 miles per hour

 Option B: 48 miles per hour

 Option C: 50 miles per hour

 Option D: 53 1/3 miles per hour

 Option E: 68 miles per hour


Output: Option B