CAT 2003 Slot 2 — DILR Question 2
Choose 1, if the question can be answered by using statement A alone but not by using B alone.
Choose 2, if the question can be answered by using statement B alone but not by using A alone.
Choose 3, if the question can be answered by using either statement alone.
Choose 4, if the question can be answered by using both the statements together but not by either statement.
Four friends, A, B, C and D got the top four ranks in a competitive examination, but A did not get the first, B did not get the second, C did not get the third, and D did not get the fourth rank. Who secured which rank?
A. Neither A nor D were among the first 2.
B. Neither B nor C was third or fourth.
Answer & solution
- A
1
- B
2
3
- D
4
From statement A,
Neither A nor D were among the first 2 which means that D gets either 3rd or the 4th rank.
âµ D did not get the 4th rank.
∴ D gets the 3rd rank and A gets the 4th rank.
âµ B didn’t get the 2nd rank.
∴ B gets the 1st rank and C gets the 2nd rank.
∴ Statement A alone is sufficient.
From statement B,
B gets either the 1st or the 2nd rank.
We know that B did not get the 2nd rank.
∴ B gets the 1st rank and C gets the 2nd rank.
âµ D didn’t get the 4th rank.
∴ D gets the 3rd rank and A gets 4th rank.
∴ Statement B alone is sufficient.
∴ The question can be answered using either statements alone.
Hence, option (c).