Answer
\[64\,\text{marks}\].
Work Step by Step
The minimum marks required for the student to pass the examination is average of at least \[60\]in three examinations. The scores scored by student in first two examinations are \[42\,\text{and}\,\text{74}\]. The marks needed in third examination can be calculated as:
\[\begin{align}
& \frac{42+74+x}{3}\ge 60 \\
& 42+74+x\ge 180 \\
& 116+x-116\ge 180-116 \\
& x\ge 64 \\
\end{align}\]
Minimum marks required for the student to pass examination is \[64\,\text{marks}\].
