Seven officers O, P, Q, S, T, U and V were born in 1975, 1977, 1982, 1991, 1995, 1999 and 2000, but not necessarily in the same order.
Their present ages were considered as of the year 2023.
U is 28 years old.
S, who was born in an odd-numbered year, was born immediate after V.
Neither P nor V was born in an even-numbered year.
Years | Ages (as on 2023) | Officers |
1975 | 48 years | V |
1977 | 46 years | S |
1982 | 41 years | |
1991 | 32 years | |
1995 | 28 years | U |
1999 | 24 years | |
2000 | 23 years | |
Two persons were born between O and Q.
| | Case 1 | Case 2 |
Years | Ages (as on 2023) | Officers | Officers |
1975 | 48 years | V | V |
1977 | 46 years | S | S |
1982 | 41 years | O/Q | |
1991 | 32 years | | O/Q |
1995 | 28 years | U | U |
1999 | 24 years | O/Q | |
2000 | 23 years | | O/Q |
P was not born in an even numbered year.
| | Case 1 | Case 2 |
Years | Ages (as on 2023) | Officers | Officers |
1975 | 48 years | V | V |
1977 | 46 years | S | S |
1982 | 41 years | O/Q | T |
1991 | 32 years | P | O/Q |
1995 | 28 years | U | U |
1999 | 24 years | O/Q | P |
2000 | 23 years | T | O/Q |
Neither O nor T is the youngest officer. So, case 1 is invalid.
Therefore, the final arrangement is:
Years | Ages (as on 2023) | Officers |
1975 | 48 years | V |
1977 | 46 years | S |
1982 | 41 years | T |
1991 | 32 years | O |
1995 | 28 years | U |
1999 | 24 years | P |
2000 | 23 years | Q |
Officer O is 32 years old.