Which of the following statements are True and which of them

Which of the following statements are True, and which of them are False? if 10 is n prime then 100 is composite if 100 is a perfect square then 100 is a perfect cube. if 1000 is composite then 7 is prime

Solution

First is true as if 10 is prime, and 100 is made of 10; as 10*10;

so 100 is composite;

if 100 is perfect square, then 100 is a perfect cube is not true, as a perfect square is not always a perfect cube;

if 1000 is composite then 7 is prime, is false , as 1000 does not says anything about 7;

you cannot infer from 1000 that 7 is prime.