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2 friends Virat and Sourav are playing a game that involves a dice. In each round, Virat rolls the dice twice, and then Sourav rolls the dice twice. If the sum of the numbers that Virat gets exceeds the sum of numbers that Sourav gets, Virat wins the round, else Sourav wins the round. In case the sum is the same, Sourav is given the advantage and he wins the round. The game ends when any one of them wins three consecutive rounds, and he is declared the winner. Based on the information given, answer the questions that follow.
Q. It is known that the game ends after the 8th round. The numbers rolled in the 8th round are successively 4, 5, 1, 6. How many of the choices given below can represent the successive numbers rolled in the 5th round?
(4,3,2,6), (4,1,1,5), (2,3,1,4), (5,6,5,5), (2,3,1,2), (1,2,3,4)
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
2 friends Virat and Sourav are playing a game that involves a dice. In...
The question says that the game ends after the 8th round. So, firstly the winner of the 8th round is the winner of the game. Secondly, the winner of the 5th round should be different from the winner of the game, because, to win, a player must win for the third consecutive time in the eighth round, so he should win in the 6th, 7th and 8th round. Suppose he wins in the 5th round, now if we win in the 6th and 7th round as well, the game ends after the 7th round, and if he loses any of the 6th or 7th rounds, the game goes beyond 8 rounds. In the question, Virat win the final round since 4 + 5 > 1 + 6. Hence, Virat must lose round 5 by all possible means.
4 + 3 < 2 + 6, Hence Sourav wins
4 + 1 < 1 + 5, Hence Sourav wins
2 + 3 = 1 + 4, Hence Sourav wins
5 + 6 > 5 + 5, Hence Virat wins
2 + 3 > 1 + 2, Hence Virat wins
1 + 2 < 3 + 4, Hence Sourav wins
Hence, in 4 possible scenarios, Virat loses. Hence 4 is the correct answer.
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Most Upvoted Answer
2 friends Virat and Sourav are playing a game that involves a dice. In...
The 8th round:
The numbers rolled in the 8th round are 4, 5, 1, 6.

Rules of the game:
1. Virat rolls the dice twice in each round.
2. Sourav rolls the dice twice in each round.
3. If the sum of numbers rolled by Virat exceeds the sum of numbers rolled by Sourav, Virat wins the round.
4. If the sum of numbers rolled by Sourav exceeds the sum of numbers rolled by Virat, Sourav wins the round.
5. If the sum of numbers rolled by both players is the same, Sourav wins the round.

The game ends after the 8th round:
From the question, we know that the game ends after the 8th round.

Numbers rolled in the 8th round:
The numbers rolled in the 8th round are 4, 5, 1, 6.

Numbers rolled in the 5th round:
We need to find the possible successive numbers rolled in the 5th round.

Solution:
To determine the successive numbers rolled in the 5th round, we need to analyze the possible outcomes of the previous rounds.

Analysis:
1. If Virat won the 8th round, it means the sum of numbers rolled by Virat was greater than the sum of numbers rolled by Sourav.
2. If Sourav won the 8th round, it means the sum of numbers rolled by Sourav was greater than the sum of numbers rolled by Virat.
3. If Sourav had the advantage in the 8th round and won, it means the sum of numbers rolled by both players was the same.

Based on the above analysis:
1. If Virat won the 8th round, it means the sum of numbers rolled by Virat in the 5th round should be greater than the sum of numbers rolled by Sourav.
2. If Sourav won the 8th round, it means the sum of numbers rolled by Sourav in the 5th round should be greater than the sum of numbers rolled by Virat.
3. If Sourav had the advantage in the 8th round and won, it means the sum of numbers rolled by both players in the 5th round should be the same.

Checking the options:
Let's check each option to see if it satisfies the conditions mentioned above:

1. (4, 3, 2, 6):
- Virat's sum = 4 + 2 = 6
- Sourav's sum = 3 + 6 = 9
- Sourav won the 8th round, so this option is not valid.

2. (4, 1, 1, 5):
- Virat's sum = 4 + 1 = 5
- Sourav's sum = 1 + 5 = 6
- Sourav won the 8th round, so this option is not valid.

3. (2, 3, 1, 4):
- Virat's sum = 2 + 1 = 3
- Sourav's sum = 3 + 4 = 7
- Sour
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2 friends Virat and Sourav are playing a game that involves a dice. In each round, Virat rolls the dice twice, and then Sourav rolls the dice twice. If the sum of the numbers that Virat gets exceeds the sum of numbers that Sourav gets, Virat wins the round, else Sourav wins the round. In case the sum is the same, Sourav is given the advantage and he wins the round. The game ends when any one of them wins three consecutive rounds, and he is declared the winner. Based on the information given, answer the questions that follow.Q.It is known that the game ends after the 8th round. The numbers rolled in the 8th round are successively 4, 5, 1, 6. How many of the choices given below can represent the successive numbers rolled in the 5th round?(4,3,2,6), (4,1,1,5), (2,3,1,4), (5,6,5,5), (2,3,1,2), (1,2,3,4)a)1b)2c)3d)4Correct answer is option 'D'. Can you explain this answer?
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2 friends Virat and Sourav are playing a game that involves a dice. In each round, Virat rolls the dice twice, and then Sourav rolls the dice twice. If the sum of the numbers that Virat gets exceeds the sum of numbers that Sourav gets, Virat wins the round, else Sourav wins the round. In case the sum is the same, Sourav is given the advantage and he wins the round. The game ends when any one of them wins three consecutive rounds, and he is declared the winner. Based on the information given, answer the questions that follow.Q.It is known that the game ends after the 8th round. The numbers rolled in the 8th round are successively 4, 5, 1, 6. How many of the choices given below can represent the successive numbers rolled in the 5th round?(4,3,2,6), (4,1,1,5), (2,3,1,4), (5,6,5,5), (2,3,1,2), (1,2,3,4)a)1b)2c)3d)4Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 2 friends Virat and Sourav are playing a game that involves a dice. In each round, Virat rolls the dice twice, and then Sourav rolls the dice twice. If the sum of the numbers that Virat gets exceeds the sum of numbers that Sourav gets, Virat wins the round, else Sourav wins the round. In case the sum is the same, Sourav is given the advantage and he wins the round. The game ends when any one of them wins three consecutive rounds, and he is declared the winner. Based on the information given, answer the questions that follow.Q.It is known that the game ends after the 8th round. The numbers rolled in the 8th round are successively 4, 5, 1, 6. How many of the choices given below can represent the successive numbers rolled in the 5th round?(4,3,2,6), (4,1,1,5), (2,3,1,4), (5,6,5,5), (2,3,1,2), (1,2,3,4)a)1b)2c)3d)4Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 friends Virat and Sourav are playing a game that involves a dice. In each round, Virat rolls the dice twice, and then Sourav rolls the dice twice. If the sum of the numbers that Virat gets exceeds the sum of numbers that Sourav gets, Virat wins the round, else Sourav wins the round. In case the sum is the same, Sourav is given the advantage and he wins the round. The game ends when any one of them wins three consecutive rounds, and he is declared the winner. Based on the information given, answer the questions that follow.Q.It is known that the game ends after the 8th round. The numbers rolled in the 8th round are successively 4, 5, 1, 6. How many of the choices given below can represent the successive numbers rolled in the 5th round?(4,3,2,6), (4,1,1,5), (2,3,1,4), (5,6,5,5), (2,3,1,2), (1,2,3,4)a)1b)2c)3d)4Correct answer is option 'D'. Can you explain this answer?.
Solutions for 2 friends Virat and Sourav are playing a game that involves a dice. In each round, Virat rolls the dice twice, and then Sourav rolls the dice twice. If the sum of the numbers that Virat gets exceeds the sum of numbers that Sourav gets, Virat wins the round, else Sourav wins the round. In case the sum is the same, Sourav is given the advantage and he wins the round. The game ends when any one of them wins three consecutive rounds, and he is declared the winner. Based on the information given, answer the questions that follow.Q.It is known that the game ends after the 8th round. The numbers rolled in the 8th round are successively 4, 5, 1, 6. How many of the choices given below can represent the successive numbers rolled in the 5th round?(4,3,2,6), (4,1,1,5), (2,3,1,4), (5,6,5,5), (2,3,1,2), (1,2,3,4)a)1b)2c)3d)4Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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