What would make this statements False?

The opposite of each natural number is a natural number.

There is no whole number that has an opposite that is a whole number.

Poorly worded question.

Natural numbers are the counting numbers, 1,2,3,4,5.....

Whole numbers are the natural numbers including zero. No fractional parts or decimals and no negative numbers.

What is meant by opposite?
Since counting numbers are positive, negative? but negative numbers are not natural.

Same with whole numbers. negative numbers are not whole numbers.

Wherever you got this question, it is very poorly worded. If opposite means negative, the first statement is false and the second is true.