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First of all, let us see what is given to us.

Let n(h) be the number of students who speak hindi language, n(a) be the number of students who speak Assamese language. Therefore, the number of students who speak both Hindi and Assamese is represented by $n(a \cap h)$ which means the intersection of both the languages.

We can use the Venn diagram to represent the solution and concept.

In the above diagram, A represents the n(a) and B represent the n(h). A $ \cap $B represent n(a$ \cap $b) and hence A $ \cup $B is given by

$

\Rightarrow A \cup B = A + B - A \cap B \\

\Rightarrow n(a \cup h) = n(a) + n(h) - n(a - h) \\

\Rightarrow n(a \cup b) = 25 + 62 - 1 \\

\Rightarrow n(a \cup b) = 86 \\

$

Here, n$(a \cup b)$represents the number of students who speak Assamese or students who speak Hindi or students who speak both the languages. So, 86 students speak at least one of these languages.