Can someone tell me if this is correct?

• Students are cited as "late" only if they arrive more than five minutes past the last ring of the homeroom bell.

  • late -> 5+ (this is because the being 5 or more minutes past the last ring of homeroom bell is the necessary condition since it's after the "only if"... i.e. it's the large circle, the "mammal" circle, so it's on the right side of the arrow)

now the below lays out the sufficient version instead of the necessary verbiage above.

• Students are cited as "late" if they arrive more than five minutes past the last ring of the homeroom bell.

  • 5+ -> late (this is because what comes after "if" is what is sufficient so it's on the left side of the arrow unlike the first sentence which demonstrates necessity so it's on the right side of the arrow)

Applying the logic in the first statement to this next one: Kumar arrived 17 mins late. That doesn't mean the student is automatically marked as late because it's not sufficient, it's just necessary. It's just one possible reason for being marked late, it's not entirely dependent on that one singular factor.

Applying the logic in the second statement to "Kumar arrived 17 mins late". Kumar MUST be marked late because he is more than 5 minutes late. It is sufficient, it's specific enough like "cats are mammals" (and those circles in that example). If he doesn't want to be marked late, he shouldn't be more than 5 minutes late.

Can someone confirm if this is sound? Thank you!!

Why would it be want to learn to ski -> /over 40? Shouldn't there be a "/" in front of the want to learn to ski?

Edit: Is it because of the negative in the original statement: "Amar would NOT want to learn to ski..."?