In a cricket team, three batsmen Ricky, Sachin and Brian are the top three run-scorers in any order. Each of them gives two replies to any question, one of which is true and the other is false, again, in any order. When asked about who the top scorer was, following were the replies they gave:
Sachin : I got the top score. Ricky was second.
Brian : I got the top score. Sachin was second.
Ricky : I got the top score. Sachin was third.
Which of the following is the correct order of batsmen who got the top score, second best and third best score respectively?

Let us name the statements-

S1: I got the top score.

S2: Ricky was second.

B1: I got the top score.

B2: Sachin was second.

R1: I got the top score.

R2: Sachin was third.

Case 1:

Let S1 be true. That means B1 and R1 are false because only one of them can be 1st.

If S1 is true, S2 has to be false; meaning Ricky was 3rd.

So, the order we get as of now is Sachin, Brian, Ricky.

R2 says Sachin was 3rd but both R1 and R2 cannot be false. So, this case is rejected.

Case 2:

Let R1 be true. Then R2 is false meaning Sachin was second. So the order we get as of now is Ricky, Sachin, Brian.

If R1 is true, S1 and B1 are false. If S1 is false, S2 has to be true. But Ricky cannot be second.

So, this case is also rejected.

Case 3:

Let B1 be true. Then B2 is false meaning Sachin was third. So the order we get as of now is Brian, Ricky, Sachin.

Both R1 and S1 are false as B1 is true. R2 and S2 are true and support the order we got.