Seven persons- P, Q, R, S, T, U and V are of different heights. No two persons have same height.
Only four persons are shorter than S.
Q is taller than U but shorter than V.
S is taller than U.
P is shorter than U but not the shortest person.
The height of third shortest person is 165cm.
Height of neither R nor U is 165cm.
| | Case 1 | Case 2 | |
| Tallest | V | V | |
| | Q | Q | |
| | S | S | |
| | U | U | |
| | P | | 165cm |
| | | P | |
| Shortest | | | |
Height of neither R nor U is 165cm.
R is taller than T.
Thus, Case 2 gets cancelled.
| Tallest | V | |
| | Q | |
| | S | |
| | U | |
| | P | 165cm |
| | R | |
| Shortest | T | |
This is the final arrangement.
Height of P = 165cm
Height of Q = 165 + 19 = 184cm
Possible height of U will be between 165cm and 184cm.
Thus, possible height of U will be 177cm.
Study Notes
Category
