If the statement, "Some erasers are not pencils" is given as false, then which of the following statement could be inferred to be false?

The statement that can be inferred false is "No erasers are pencils".

"Some erasers are not pencils" is a particular negative (O), and taking it as false forces its contradictory, the universal affirmative (A), to be true.

So "All erasers are pencils" holds.

"No erasers are pencils" is the universal negative (E), the contrary of that true A proposition.

A true A makes its contrary E false, so "No erasers are pencils" is inferred to be false.