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: On dividing a number by 7, we get 5 as quotient and 0 as remainder. On dividing the same number by 11, what will be the remainder?

 Option A: 2

 Option B: 5

 Option C: 8

 Option D: 1

 Option E: 3
[A]: Option A


[Q]: Question: When n is divided by 19, the remainder is 7. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 7. Z must be divisible by which of the following numbers?

 Option A: 16

 Option B: 18

 Option C: 20

 Option D: 19

 Option E: 22
[A]: Option D


[Q]: Question: (3x−4)⋅(3x+4)=?

 Option A: 3x2 - 4

 Option B: 9x2 - 16

 Option C: -9x2 + 16

 Option D: 9x - 8

 Option E: None
[A]:
Option B