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.
Explanation:
From statement A,
Neither A nor D were among the first 2 which means that D gets either 3rd or the 4th rank.
∵ D did not get the 4th rank.
∴ D gets the 3rd rank and A gets the 4th rank.
∵ 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.
∵ 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).
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