Question

1. No one is to solve the problem.
2. No one can solve the problem.
----------------
Does #1 mean #2?


3. I was never to see him again.
4. I was doomed never to see him again.
--------------------------
Does #3 mean #4?


5. If you are to succeed, you must study hard.

6. If you intend to succeed, you must study hard.
-------------------
Are both the same? (Thank you for your help.)

Answer 1

1and2 are not the same. 1 is a command; 2 is a statement of fact.

3 and 4 mean about the same thing.

5 and 6 mean about the same thing, too.