Answer the questions on the basis of the information given below:
In an examination, there are $100$ questions divided into three groups A, B and C such that each group contains at least one question. Each question in group A carries $1$ mark, each question in group B carries $2$ marks and each question in group C carries $3$ marks. It is known that questions in group A carries at least $60\%$ of the total mark.
If group C contains 8 questions and group B carries at least $20\%$ of the total marks, which of the following best describes the number of questions in group B?
- $11$ or $12$
- $12$ or $13$
- $13$ or $14$
- $14$ or $15$