Ajinkya, Ramesh and Vaibhav got first, second and third rank. But not in this sequence. After asking them they replied two answers each. Out of which one is true and other is false. But not in the same sequence. Their answers are as following. Ramesh : I got first rank. Ajinkya got second rank. Vaibhav : I got first rank. Ramesh got second rank. Ajinkya : I got first rank. Ramesh got third rank. Which is not the rank of Ajinkya?
Ajinkya, Ramesh and Vaibhav got first, second and third rank. But not in this sequence. After asking them they replied two answers each. Out of which one is true and other is false. But not in the same sequence. Their answers are as following. Ramesh : I got first rank. Ajinkya got second rank. Vaibhav : I got first rank. Ramesh got second rank. Ajinkya : I got first rank. Ramesh got third rank. Which is not the rank of Ajinkya? Correct Answer Can't say definitely
Option(4) is correct.
According to the given data, out of two answers, one is true and one is false. Ajinkya must secure one of three ranks ( first, second, third).
Case-1: Ajinkya ranks first.
Ramesh: I got the first rank. Ajinkya got the second rank: Both answers are false as Ajinkya got the first rank.
So, this case is not possible.
Case-2: Ajinkya ranks Second.
Ramesh: I got the first rank. Ajinkya got the second rank: The second answer is true as Ajinkya got the second rank. So, the first answer is false, Ramesh didn't get the first rank.
Vaibhav: I got the first rank. Ramesh got the second rank: The second answer is false as Ajinkya got the second rank. So, the first answer is true, Vaibhav got the first rank.
Ajinkya: I got the first rank. Ramesh got the third rank: The first answer is false as Ajinkya got the second rank. So, the second answer is true, Ramesh got the third rank.
So, this case can be possible, Vaibhav, Ajinkya and Ramesh got first, second and third rank respectively.
Case-3: Ajinkya ranks Third.
Ramesh: I got the first rank. Ajinkya got the second rank: The second answer is false as Ajinkya got the third rank. So, the first answer is true, Ramesh got the first rank.
Vaibhav: I got the first rank. Ramesh got the second rank: Both answers are false, as according to answers by Ramesh Ramesh got the first rank.
So, this case is not possible.
Out of three cases, only case-2 is possible, So, the only possible rank of Ajinkya is Second.
Therefore, first and third are not the rank of Ajinkya. So, option(1) and option(3) are correct, because we need to choose only one option then we can choose option(4).
Hence, the correct answer is an option(4) i.e., Can't say definitely.