*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 single 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.

Can you identify the correct order of batsmen who got the top score, second best and third best score respectively?

### Click here to learn more

From the given replies we can conclude that only one of the first statements given by the players can be true as the top score can only be achieved by one person.

From the given 2^{nd} statements, maximum two can be corret.
So letâ€™s find who is saying the truth.

Let us suppose that Sachin is right for his first statement and Brain and Ricky both are right for their 2nd statement. That means Brain and Ricky both are wrong for their first statement as Sachin is the top scorer. We get the following chart (x stands for a lie):

PlayerÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â SachinÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â BrainÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Ricky

Statement 1Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Sachin (T) Â Â Â Â Â Â Â Â Â xÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â x

Statement 2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â x Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Sachin(T) Â Â Â Â Â Â Â x

Statement 3Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â x Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â xÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Sachin Â (T)

It is not possible as in this case, the position of Sachin cannot be different. He has to be first according to every player and this is not the case. Â The true statements in the three different statements lead to three different solutions.

So letâ€™s try for another combination: Assuming the first statement by Brain was true. Brian said that I got the top score. This means Sachin was not second, he has to be third.

Player Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â BrainÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â SachinÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Ricky

Statement 1 Â Â Â Â Â Â Â Â Â Â Â Brain(T)Â Â Â Â Â Â Â Â Â x Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â x

Statement 2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â x Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Ricky(T)Â Â Â Â Â Â Â Â Â x

Statement 3Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â xÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â x Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Sachin(T)

From this table shown above, we can see that we obtain consistent results in terms of the positions of the players as we had assumed. Hence the correct order is: Brain , Ricky, and Sachin

brian ricky sachin

brian-1

ricky-2

sachin-3

brian

ricky

sachin

1- brain

2- ricky

3- sachin

Statement1. Sachin: I got the top score. Ricky was second.

Statement2. Brian: I got the top score. Sachin was second.

Statement3. Ricky: I got the top score. Sachin was third.

From These Statements if for example statement1 is correct then sachin is top score then brian and ricky are not top scorer then the other one must be true it is sachin was second in statement 2 is true and sachin was third in statement 3 is true. this is not possible because 2ndposition and 3rd Position cannot win by a single person

Then if statement 3 is correct then ricky is top scorer then sachin and ricky are not the top scorer then in statement1 ricky was second is correct and in statement3 sachin was second was correct.this is not possible because two members will not have same position.

If statement2 is correct then brian is top scorer then sachin and ricky cannot be a top scorer then in statement1 ricky was second this is possible.and in statement 3 sachin was third was possible.there is no statements where it is contradicting.

so answer is 1.brian,2.ricky,3.sachin

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.

From These Statements if for example statement1 is correct then sachin is top score then brian and ricky are not top scorer then the other one must be true it is sachin was second in statement 2 is true and sachin was third in statement 3 is true. this is not possible because 2ndposition and 3rd Position cannot win by a single person

Then if statement 3 is correct then ricky is top scorer then sachin and ricky are not the top scorer then in statement1 ricky was second is correct and in statement3 sachin was second was correct.this is not possible because two members will not have same position.

If statement2 is correct then brian is top scorer then sachin and ricky cannot be a top scorer then in statement1 ricky was second this is possible.and in statement 3 sachin was third was possible.there is no statements where it is contradicting.

so answer is 1.brian,2.ricky,3.sachin

B

R

S

is the ans as this is d intersection of the conditions wat the players say.

i) S B ii)B R iii)R B

B R R S S R

R S S B B S

taking intersection of the columns, we find only BRS to be common. So is the ans.

1) brian

2) ricky

3)sachin

Brian,Ricky,Sachin

Assuming Sachin’s first statement as True, his second will be false.

Taking this as the basis, we get both statements of Brian and Ricky to be false.

So the assumption is wrong which means sachin’s first statement is False.

So the order is:

(i) Brian

(ii) Ricky

(iii) Sachin

The order of ranking goes as follows:

Brian- 1st, Ricky – 2nd, Sachin – 3rd

its given that one of the stmts that each one speaks is necessarily true and d other false.

so, by trial and error, fix one of the stmts as True dn, d other z auto false.

my argument goes like dis:

–let sachin’s first stmt be false => he z nt top scorer

thus, his 2nd stmt is necessarily true => ricky is 2nd

so, my conclusion from the above is ricky is 2nd and sachin isnt a top scorer, hence, he must be placed 3rd & also, brian must be d top scorer.

–now, go to the next person brian. since, previously we got brian as top scorer, let the stmt saying dt he is d top scorer be true, dn d othr stmt dat sachin z 2nd will be auto false which means again dt sachin can only be placed 3rd. so, ricky will be 2nd.

–similarly, proceed to nxt person n do as above. all conclusions support d first argument. hence, the result deduced from it is true.

as sachin makes two statements 1st:I got top score. 2nd Ricky was second.

if i assume that 1st statement as true one this mean fixing of 1st position.

which automatically conclude that the 1st statements of Brian & Ricky are false.

so only left choice is their 2nd statements should be true, but these but statements can not be true because they are contradictory to each other.

so sachin’s second statement was true one .. now think you ll get the right path by your own ..

thank you !

1st- Brain

2nd- Ricky

3rd-Sachin

1st-Sachin

2nd-Brian

3d-Ricky

wr0ng ans

yeah…