9 people: P, Q, R, S, T, U, V, W and X
Months: June, August, December
Years: 1992, 1993, 1994
1) P bought his car in the month which has less than 31 days but before V who bought his car in the same month in which P bought his car.
Case 1:
| June (30 days) | August (31 days) | December (31 days) |
|---|
| 1992 | P | | |
| 1993 | V | | |
| 1994 | | | |
Case 2:
| June (30 days) | August (31 days) | December (31 days) |
|---|
| 1992 | P | | |
| 1993 | | | |
| 1994 | V | | |
Case 3:
| June (30 days) | August (31 days) | December (31 days) |
|---|
| 1992 | | | |
| 1993 | P | | |
| 1994 | V | | |
2) W and Q bought their cars in the same month but not in the year 1992.
3) Neither W nor S bought a car in August.
4) The number of days in the month in which R bought a car is a prime number.
5) The year in which R bought a car is not an even number.
Case 1:
| June (30 days) | August (31 days) | December (31 days) |
|---|
| 1992 | P | | |
| 1993 | V | R | W/Q |
| 1994 | | | W/Q |
Case 2:
| June (30 days) | August (31 days) | December (31 days) |
|---|
| 1992 | P | | |
| 1993 | | R | W/Q |
| 1994 | V | | W/Q |
Case 3:
| June (30 days) | August (31 days) | December (31 days) |
|---|
| 1992 | | | |
| 1993 | P | R | W/Q |
| 1994 | V | | W/Q |
6) T bought a car before U and both of them bought cars in the same month.
- S bought a car before X but not in the same month in which P bought his car.
Therefore, case 3 gets eliminated.
- Both Q and U bought their car in the same year.
Case 1:
| June (30 days) | August (31 days) | December (31 days) |
|---|
| 1992 | P | T | S |
| 1993 | V | R | W |
| 1994 | X | U | Q |
Case 2:
| June (30 days) | August (31 days) | December (31 days) |
|---|
| 1992 | P | T | S |
| 1993 | X | R | W |
| 1994 | V | U | Q |
9) X is married to R and bought a car after her.
Therefore, case 2 gets eliminated.
| June (30 days) | August (31 days) | December (31 days) |
|---|
| 1992 | P | T | S |
| 1993 | V | R | W |
| 1994 | X | U | Q |
- R and S are siblings.
From 9), we know that R is a female.
- R is the only daughter of P.
From 7) we know that P is a male.
Therefore, we can conclude that S is male.
-
S, the only son of W is married to the younger sister of T and has only one child.
-
It is given that Q is the grandson of W but not a son of R.
Therefore, Q is the son of S.
- W is the grandmother of V who is the only unmarried female in the family.
Therefore, V is the daughter of R.
- The family has more males than females.
Therefore, T is male.
-
Q is sitting at one of the ends in the row facing north.
-
V is sitting fourth to the left of Q.
18) X is the immediate neighbour of Q.
19) Only four persons are sitting between X and W.
20) T and R are immediate neighbours of each other but neither of them is sitting at the extreme ends.
-
R is the neighbour of V.
-
W and S are not neighbours.
23) Only one person sits at the left of U.
Hence, 4 persons are sitting between R and S and S bought his car in December 1992.