Given:Â Eight people, K, M, P, R, T, V, X, Z, work in three different IT departments: Cybersecurity, Data Analytics, and Cloud Services.
At least two but not more than three persons work in each department.
All of them celebrate different festivals: Diwali, Holi, Eid, Christmas, Navratri, Pongal, Onam, Baisakhi, but not in the same order.
- P works in Cloud Services only with the person who celebrates Eid. (i.e., Only 2 people work in Cloud services and 3 each in Data Analytics and Cybersecurity)
| Departments (No. of persons) | Persons - Festivals |
|---|
| Cybersecurity (3) | |
| Data Analytics (3) | |
| Cloud Services (2) | P, - Eid |
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2. K celebrates Diwali but does not work in Data Analytics.Â
| Departments (No. of persons) | Persons - Festivals |
|---|
| Cybersecurity (3) | K - Diwali |
| Data Analytics (3) | |
| Cloud Services (2) | P, - Eid |
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3. The person who celebrates Holi works in Cloud Services.Â
| Departments (No. of persons) | Persons - Festivals |
|---|
| Cybersecurity (3) | K - Diwali |
| Data Analytics (3) | |
| Cloud Services (2) | P - Holi, - Eid |
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4. The person who celebrates Navratri does not work in Cybersecurity.
5. The person who celebrates Onam works in Cybersecurity.Â
| Departments (No. of persons) | Persons - Festivals |
|---|
| Cybersecurity (3) | K - Diwali, - Onam, _ |
| Data Analytics (3) | - Navratri, _, _ |
| Cloud Services (2) | P - Holi, - Eid |
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6. Z does not work in Cybersecurity.
7. Z does not celebrate Onam or Eid. (i.e., Z works in Data Analytics)
Here, we have 2 Cases, i.e., Case 1 and Case 2.
| Departments (No. of persons) | Persons - Festivals | |
|---|
| Case 1 | Case 2 | |
| Cybersecurity (3) | K - Diwali, - Onam, _ | K - Diwali, - Onam, _ |
| Data Analytics (3) | Z - Navratri, _, _ | - Navratri, Z - , _ |
| Cloud Services (2) | P - Holi, - Eid | P - Holi, - Eid |
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8. M does not work in Cybersecurity.
9. M does not celebrate Christmas.
10. M does not celebrate Navratri or Baisakhi.Â
11. M does not work in Cloud Services.
12. The person who celebrates Christmas and M does not work in the same department.
| Departments (No. of persons) | Persons - Festivals | |
|---|
| Case 1 | Case 2 | |
| Cybersecurity (3) | K - Diwali, - Onam, - Christmas | K - Diwali, - Onam, - Christmas |
| Data Analytics (3) | Z - Navratri, M - Pongal, - Baisakhi | - Navratri, Z - Baisakhi, M - Pongal |
| Cloud Services (2) | P - Holi, - Eid | P - Holi, - Eid |
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13. Neither T nor X celebrates Eid and Navratri. (i.e., X either celebrates Onam or Christmas)
14. T does not work in Cybersecurity.Â
Now, we can eliminate Case 2. (Because in Case 2, T celebrates Navratri).
| Departments (No. of persons) | Persons - Festivals |
|---|
| Case 1 | |
| Cybersecurity (3) | K - Diwali, - Onam, - Christmas |
| Data Analytics (3) | Z - Navratri, M - Pongal, T - Baisakhi |
| Cloud Services (2) | P - Holi, - Eid |
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15.  R doesn't work in Cloud Services.
16. R does not celebrate Pongal or Onam.Â
This is our final arrangement,
| Departments (No. of persons) | Persons - Festivals |
|---|
| Case 1 | |
| Cybersecurity (3) | K - Diwali, X - Onam, R - Christmas |
| Data Analytics (3) | Z - Navratri, M - Pongal, T - Baisakhi |
| Cloud Services (2) | P - Holi, V - Eid |
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Hence, the correct answer is All A, B, and C​.