The marks scored by $50$ students of a class are $m_1, m_2, m_3, \ldots, m_{50}$, where $m_1<m_2<\ldots<m{50}$.

The marks scored by $50$ students of a class are $m_1, m_2, m_3, \ldots, m_{50}$, where $m_1<m_2<\ldots<m_{50}$. Student $1$ scored $40$ and student $50$ scored $90$. What is the average score of the class?

1. No two students scored the same marks and $m_{25}=62$

2. The marks of the students follow an arithmetic progression

OA B

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