Eight persons P, Q, R, S, T, U, V, and W live in an eight-floor building numbered from 1 (lowest) to 8 (highest). Each shops from a different e-commerce website: Flipkart, Ajio, Myntra, Jabong, Amazon, Shopclues, Jiomart, and Tata Cliq. The following conditions apply:

- The person shopping on Flipkart lives immediately above the one shopping on Shopclues.
- Neither V nor P shops on Flipkart, Tata Cliq, or Myntra.
- Three persons live between V and S; S lives below V and does not shop on Jabong.
- Exactly three persons live between W and R; R shops on Amazon.
- R lives on an even-numbered floor above W.
- Q does not shop on Flipkart or Myntra and does not live on the second floor.
- Two persons live between Q and the person who shops on Jabong.
- Three persons live between the person who shops on Jabong and the one who shops on Ajio.
- The number of persons between the Jabong shopper and R equals the number of persons between the Ajio shopper and P.
- T lives on a floor below U.
- Both W and Q live on even-numbered floors.

**Question:** Who lives on the fourth floor?

Question

Eight persons P, Q, R, S, T, U, V, and W live in an eight-floor building numbered from 1 (lowest) to 8 (highest). Each shops from a different e-commerce website: Flipkart, Ajio, Myntra, Jabong, Amazon, Shopclues, Jiomart, and Tata Cliq. The following conditions apply:

- The person shopping on Flipkart lives immediately above the one shopping on Shopclues.
- Neither V nor P shops on Flipkart, Tata Cliq, or Myntra.
- Three persons live between V and S; S lives below V and does not shop on Jabong.
- Exactly three persons live between W and R; R shops on Amazon.
- R lives on an even-numbered floor above W.
- Q does not shop on Flipkart or Myntra and does not live on the second floor.
- Two persons live between Q and the person who shops on Jabong.
- Three persons live between the person who shops on Jabong and the one who shops on Ajio.
- The number of persons between the Jabong shopper and R equals the number of persons between the Ajio shopper and P.
- T lives on a floor below U.
- Both W and Q live on even-numbered floors.

**Question:** Who lives on the fourth floor?

Accepted Answer

**Solution:**

1. Assign floors from 1 (lowest) to 8 (highest).

2. Given that Flipkart shopper lives immediately above Shopclues shopper.

3. V and P do not shop on Flipkart, Tata Cliq, or Myntra.

4. Three persons live between V and S; S is below V and does not shop on Jabong.

5. Three persons live between W and R; R shops on Amazon and lives on an even floor above W.

6. Q does not shop on Flipkart or Myntra and does not live on floor 2.

7. Two persons live between Q and Jabong shopper.

8. Three persons live between Jabong and Ajio shoppers.

9. The number of persons between Jabong shopper and R equals the number of persons between Ajio shopper and P.

10. T lives below U.

11. W and Q live on even floors.

**Step-by-step deduction:**

- Since W and Q live on even floors, possible floors for them are 2, 4, 6, or 8.

- R lives on an even floor above W, and there are exactly three persons between W and R, so the floors of W and R differ by 4 (since three persons between means 4 floors apart).

- Possible pairs for (W, R) with R above W and R on even floor:
  - W=2, R=6
  - W=4, R=8

- Q does not live on floor 2, so if W=2, Q cannot be 2; Q must be 4, 6, or 8.

- Since W and Q both live on even floors and Q ≠ 2, Q can be 4, 6, or 8.

- If W=2 and R=6, Q can be 4 or 8.

- If W=4 and R=8, Q can be 2 or 6, but Q ≠ 2, so Q=6.

- Considering the above, W=2, R=6, Q=4 is a consistent set.

- Three persons live between V and S, with S below V.

- The Flipkart shopper lives immediately above Shopclues shopper.

- V and P do not shop on Flipkart, Tata Cliq, or Myntra.

- Q does not shop on Flipkart or Myntra.

- Two persons live between Q and Jabong shopper.

- Three persons live between Jabong and Ajio shoppers.

- The number of persons between Jabong and R equals the number of persons between Ajio and P.

- T lives below U.

**Assigning floors based on above:**

- W = 2 (even floor)
- Q = 4 (even floor)
- R = 6 (even floor)

- Since Flipkart shopper is immediately above Shopclues shopper, they occupy consecutive floors.

- The only consecutive floors available near Q (4) are 3 and 4 or 4 and 5.

- Q is on 4, so Shopclues or Flipkart shopper can be on 3 or 5.

- Since Q does not shop on Flipkart, and Flipkart shopper is immediately above Shopclues shopper, the Shopclues shopper must be on floor 4 (Q's floor) or 3.

- Q is on floor 4 and does not shop on Flipkart, so Q can be Shopclues shopper.

- Therefore, the Shopclues shopper lives on the 4th floor.

**Answer:** The person who shops on Shopclues lives on the fourth floor.

**Hence, option (c) is correct.**

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