Question

Cite an example in which a force is exerted on an object without doing work on the object

Answer 1

The classic example is pushing on a brick wall as hard as you can.
No matter how hard you push on it, the wall is not going anywhere.

Since
Work = (force) x (distance),
and
distance = 0,
it turns out that
Work = (force) x (0) = 0 .