Six persons Q, S, U, W, Y and Z are compared on the basis of their heights. No two persons have the same height.
The height of the third tallest person is 13cm.
Not more than two persons are shorter than W.
U is shorter than W.
| Case 1 | Case 2 | Case 3 |
| Sr. no | Persons (heights in descending order) | Persons (heights in descending order) | Persons (heights in descending order) |
| 1 | | | |
| 2 | | | |
| 3 | (13cm) | (13cm) | (13cm) |
| 4 | | W | W |
| 5 | W | U | |
| 6 | U | | U |
Two persons have different heights between Y and Z.
Y is taller than Z and shorter than Q.
Thus, case 1 is invalid.
| Case 2 | Case 3 |
| Sr. no | Persons (heights in descending order) | Persons (heights in descending order) |
| 1 | | Q |
| 2 | | Y |
| 3 | Y (13cm) | (13cm) |
| 4 | W | W |
| 5 | U | Z |
| 6 | Z | U |
Q is not the tallest person. Thus, case 3 is invalid.
The height of S is 18cm. Thus, we get:
| Sr. no | Persons (heights in descending order) |
| 1 | S (18cm) |
| 2 | Q |
| 3 | Y (13cm) |
| 4 | W |
| 5 | U |
| 6 | Z |
The height of Q is more than 13cm and less than 18cm.
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