Seven persons study in three different universities: Oxford, Cambridge, and Texas. Each university has at least two but no more than three students. Each person likes a different colour. Given the following clues:

- P likes brown and does not study in Texas.
- T studies only with Q, and neither study in Texas.
- S and the person who likes white study in the same university.
- V and the person who likes maroon study in the same university.
- The persons who like grey and green neither study in the same university nor in Texas.
- T does not study in Oxford.
- The persons who like silver and grey study in the same university.
- V studies with more than one person.
- Q does not like silver.
- R does not study in Oxford.
- R does not like gold or maroon.
- S and U do not like gold.

Who among the following study in Texas?

Question

Seven persons study in three different universities: Oxford, Cambridge, and Texas. Each university has at least two but no more than three students. Each person likes a different colour. Given the following clues:

- P likes brown and does not study in Texas.
- T studies only with Q, and neither study in Texas.
- S and the person who likes white study in the same university.
- V and the person who likes maroon study in the same university.
- The persons who like grey and green neither study in the same university nor in Texas.
- T does not study in Oxford.
- The persons who like silver and grey study in the same university.
- V studies with more than one person.
- Q does not like silver.
- R does not study in Oxford.
- R does not like gold or maroon.
- S and U do not like gold.

Who among the following study in Texas?

Accepted Answer

**Solution:**

1. From the clues, we know the distribution of students among universities must be 2 or 3 per university.

2. P likes brown and is not in Texas, so P is either in Oxford or Cambridge.

3. T studies only with Q, and neither are in Texas. Also, T does not study in Oxford, so T and Q must be in Cambridge.

4. S and the person who likes white study together.

5. V and the person who likes maroon study together.

6. The persons who like grey and green neither study in the same university nor in Texas.

7. The persons who like silver and grey study together.

8. V studies with more than one person, so V's university has 3 students.

9. Q does not like silver.

10. R does not study in Oxford and does not like gold or maroon.

11. S and U do not like gold.

Based on these clues, the arrangement is:

| University | Persons and Colours           |
|------------|------------------------------|
| Oxford     | P (Brown), U (Green)          |
| Cambridge  | Q (Grey), T (Silver)          |
| Texas      | S (Maroon), V (Gold), R (White) |

Thus, the persons studying in Texas are S and the one who likes white (R).

**Answer:** S and the one who likes white

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