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: 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

A: Option C
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Q: Question: The 120 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT

 Option A:  4

 Option B:  20

 Option C:  30

 Option D:  40

 Option E:  90

A: Option E
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Q: Question: If i is a positive integer and i^2 is divisible by 12, then the largest positive integer that must divide i ^3 is

 Option A:  2^3

 Option B:  2^6

 Option C:  3^3

 Option D:  6^3

 Option E:  12^2

A:
Option D
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