Question:
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?
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?
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?
Show Hint
Test the case where Sachin is first; it forces both of Brian's statements to be false, which is not allowed, so that case can be ruled out immediately.
Updated On: Jul 15, 2026
- Brian, Ricky, Sachin
- Brian, Sachin, Ricky
- Ricky, Sachin, Brian
- Sachin, Brian, Ricky
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Label each person's two statements.
Sachin says: S1 = "Sachin got the top score", S2 = "Ricky was second". Exactly one of S1, S2 is true.
Brian says: B1 = "Brian got the top score", B2 = "Sachin was second". Exactly one of B1, B2 is true.
Ricky says: R1 = "Ricky got the top score", R2 = "Sachin was third". Exactly one of R1, R2 is true.
Step 2: Test the possibility that Sachin got the top score (S1 true).
If S1 is true, S2 must be false, so Ricky is not second, meaning Ricky is third and Brian is second (since Sachin already holds first).
Check Brian's statements: B1 ("Brian got the top score") is false since Sachin is first, and B2 ("Sachin was second") is also false since Sachin is actually first, not second.
Both of Brian's statements would be false, breaking the rule that exactly one must be true. So this case is impossible, and Sachin did not get the top score.
Step 3: Since S1 is false, S2 must be true.
So Ricky was second.
Step 4: Determine who got the top score.
Sachin is not first (Step 2) and Ricky is not first (he is second, Step 3), so the only person left for the top score is Brian.
Step 5: Determine the third-place batsman.
With Brian first and Ricky second, Sachin must be third.
Step 6: Verify all statements with this order (Brian first, Ricky second, Sachin third).
Sachin: S1 false, S2 true, one true one false, correct.
Brian: B1 true, B2 false, one true one false, correct.
Ricky: R1 false, R2 true, one true one false, correct.
All three people satisfy the rule, so this order is fully consistent.
Step 7: Conclusion.
The correct order is Brian (top), Ricky (second), Sachin (third), which is option (1).
Sachin says: S1 = "Sachin got the top score", S2 = "Ricky was second". Exactly one of S1, S2 is true.
Brian says: B1 = "Brian got the top score", B2 = "Sachin was second". Exactly one of B1, B2 is true.
Ricky says: R1 = "Ricky got the top score", R2 = "Sachin was third". Exactly one of R1, R2 is true.
Step 2: Test the possibility that Sachin got the top score (S1 true).
If S1 is true, S2 must be false, so Ricky is not second, meaning Ricky is third and Brian is second (since Sachin already holds first).
Check Brian's statements: B1 ("Brian got the top score") is false since Sachin is first, and B2 ("Sachin was second") is also false since Sachin is actually first, not second.
Both of Brian's statements would be false, breaking the rule that exactly one must be true. So this case is impossible, and Sachin did not get the top score.
Step 3: Since S1 is false, S2 must be true.
So Ricky was second.
Step 4: Determine who got the top score.
Sachin is not first (Step 2) and Ricky is not first (he is second, Step 3), so the only person left for the top score is Brian.
Step 5: Determine the third-place batsman.
With Brian first and Ricky second, Sachin must be third.
Step 6: Verify all statements with this order (Brian first, Ricky second, Sachin third).
Sachin: S1 false, S2 true, one true one false, correct.
Brian: B1 true, B2 false, one true one false, correct.
Ricky: R1 false, R2 true, one true one false, correct.
All three people satisfy the rule, so this order is fully consistent.
Step 7: Conclusion.
The correct order is Brian (top), Ricky (second), Sachin (third), which is option (1).
Was this answer helpful?
0
0
Top SNAP Logical Reasoning Questions
- Four children A, B, C and D are having some chocolates each.
A gives B as many as he already has, he gives C twice of what C already has and he gives D thrice of what D already has.
Now, D gives (\(\frac 18\))th of his own chocolates to B.
Then A gives 10% chocolates he now owns to C and 20% to B.
Finally, all of them have 35 chocolates each. What is the original number of chocolates each had in the beginning? - There are two similar figures below with some numbers. The left one is complete where as one number is missing in the right one. Find a suitable number to fill in place of the question mark.
- Complete the following series by replacing the ?
TBLD, VEPI, XHTN, ? - 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? - 60 employees in an office were asked about their preference for tea and coffee. It was observed that for every 3 people who prefer tea, there are 2 who prefer coffee. For every 6 people who prefer tea, there are 2 who drink both of tea and coffee. The number of people who drink both is the same as those who drink neither.
How many people drink both tea and coffee?
View More Questions
Top SNAP Logical Deduction Questions
- E-1, E-2 and E-3 are three engineering students writing their assignments at night. Each of them starts at a different time and completes at a different time. The digit in their name and the order of their starting and completing the assignment is certainly not the same. The last student to start is the first to complete the assignment.
Who is the first student to start writing the assignment? - E-1, E-2 and E-3 are three engineering students writing their assignments at night. Each of them starts at a different time and completes at a different time. The digit in their name and the order of their starting and completing the assignment is certainly not the same. The last student to start is the first to complete the assignment.
Who is the last student to complete the assignment? - All German philosophers, except for Marx, are idealists. From which of the following can the statement above be most properly inferred?
Top SNAP Questions
- In a retail outlet, the average revenue was Rs.10,000 per day over a 30 day period. During this period, the average revenue on weekends (total 8 days) was Rs. 20,000 per day. What was the average daily revenue on weekdays?
- Two different prime numbers X and Y, both are greater than 2, then which of the following must be true?
- It takes 6 hours for pump A, used alone, to fill a tank of water. Pump B alone takes 8 hours to fill the same tank. A, B and another pump C all together fill the tank in 2 hours. How long would pump C take, used alone, to fill the tank?
- A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pump working on its own. At 9 am, pump A is started. At what time will the swimming pool be filled if pump B is started at 10 am?
- The sum of prime numbers that are greater than 60, but less than 70 is :
View More Questions