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: On dividing a number by 7, we get 3 as quotient and 0 as remainder. On dividing the same number by 3, what will be the remainder?

 Option A: 1

 Option B: 2

 Option C: 3

 Option D: 0

 Option E: 4
[EX A]: Option D

[EX Q]: Question: The average marks of a class of 35 students is 45 and that of another class of 55 students is 65. Find the average marks of all the students?

 Option A: 52.6

 Option B: 52.4

 Option C: 52.1

 Option D: 57

 Option E: 52.9
[EX A]: Option D

[EX Q]: Question: If the positive integer N is a perfect square, which of the following must be true?
I. The number of distinct factors of N is odd.
II. The sum of the factors of N is odd.
III. The number of distinct prime factors of N is even.

 Option A: I only

 Option B: II only

 Option C: I and II

 Option D: I and III

 Option E: I, II and III
[EX A]:
Option C