Explanation:

Let's break down the puzzle step by step:

- There are ten people, each giving a gift in one of the months with 30 or 31 days (no one in February or July).

- X gives a gift in a month with only 30 days. The only options are April, June, September, or November.

- At least two people give gifts after X, so X can't be in November or December.

- T gives a gift immediately after X, so if X is in September, T is October, etc.

- Only two people give gifts before Y, so Y is in March (because January, March, April, ...).

- Two between Y and Q. If Y is March, then (April, May), so Q is June or January.

- Two between X and R.

- Number before U is one more than after W. So if U is 5th, W is 4th or 7th, etc.

- Z before W and after S.

- U is not last.

- Z not in June.

- R, S not neighbors.

Out of these, the only fit for X is April (30 days, and at least two people after: May, June, ..., December).

Then T must be May.

If Y is in March (only two before: January and February; since February is not in the list, Y must be in March and Q could be in June or January).

From all constraints, the detailed placements are:

1. January - S

2. March – Y

3. April – X

4. May – T

5. June – Q

6. August – R

7. September – U

8. October – V

9. November – Z

10. December – W

- Out of the given options, the person who gives the gift in November is Z.

Correct Answer: Option 3 – Z

Explanation:

- X is in April (must be a 30-day month, two after him possible).

- T is immediately after X (April, May).

- Only two people before Y (Y in March).

- All other rules matched as above.

- Option 3 (Z), November, is correct.