Eight persons R@, R#, R$, R&, R%, R*, R©, and RΩ are seated around a hollow circular table. Four of them (R&, R$, R#, and RΩ) sit on the inner side facing outward, and the other four (R@, R%, R*, and R©) sit on the outer side facing outward. Each inner side person sits directly behind an outer side person. All have graduated from different universities: HTS, UGI, LPU, HNB, KPJ, UPI, NIT, and FPT. The following conditions hold:

- The person graduated from KPJ sits just behind the one who is second to the left of the person graduated from UPI.
- RΩ sits just behind R*.
- R%, graduated from UGI, sits opposite the person immediately to the left of R©.
- R& is not graduated from FPT.
- The person graduated from HTS sits immediately to the left of the one graduated from LPU.
- The person graduated from KPJ sits just behind R©.
- RΩ sits immediately to the right of R&.
- The persons graduated from FPT and HNB sit opposite each other on the same side of the table.
- R& sits just behind the person graduated from UGI.
- R$ is not graduated from FPT.

**Question:** How many persons are seated between R* and R% when counted clockwise from R*?

Question

Eight persons R@, R#, R$, R&, R%, R*, R©, and RΩ are seated around a hollow circular table. Four of them (R&, R$, R#, and RΩ) sit on the inner side facing outward, and the other four (R@, R%, R*, and R©) sit on the outer side facing outward. Each inner side person sits directly behind an outer side person. All have graduated from different universities: HTS, UGI, LPU, HNB, KPJ, UPI, NIT, and FPT. The following conditions hold:

- The person graduated from KPJ sits just behind the one who is second to the left of the person graduated from UPI.
- RΩ sits just behind R*.
- R%, graduated from UGI, sits opposite the person immediately to the left of R©.
- R& is not graduated from FPT.
- The person graduated from HTS sits immediately to the left of the one graduated from LPU.
- The person graduated from KPJ sits just behind R©.
- RΩ sits immediately to the right of R&.
- The persons graduated from FPT and HNB sit opposite each other on the same side of the table.
- R& sits just behind the person graduated from UGI.
- R$ is not graduated from FPT.

**Question:** How many persons are seated between R* and R% when counted clockwise from R*?

Accepted Answer

**Solution:**

1. There are eight persons seated around a hollow circular table with four on the inner side and four on the outer side, each inner person sitting directly behind an outer person.

2. Given that RΩ sits just behind R*, so R* is on the outer side and RΩ on the inner side behind R*.

3. R& sits just behind the person graduated from UGI, and R% is graduated from UGI. Therefore, R& sits behind R%.

4. RΩ sits immediately to the right of R& on the inner side.

5. The person graduated from KPJ sits just behind R©, so R© is on the outer side and KPJ graduate on the inner side behind R©.

6. The person graduated from KPJ also sits just behind the one who is second to the left of the person graduated from UPI.

7. R% sits opposite the person immediately to the left of R©.

8. Using these clues, the seating order on the outer side (facing outward) can be deduced as: R*, R@, R%, R© (clockwise).

9. Counting clockwise from R* to R%, the persons between them are R@ only.

10. Hence, there is exactly one person seated between R* and R% when counted clockwise from R*.

**Answer:** One

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