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Four friends P, Q, R and S were playing a game in which they had to randomly pick a ball out of five balls of five different colours from a bag. They played the game for four rounds. The balls were of Red, Blue, Yellow, Green and Purple colours. Whenever they picked a ball, they got points 1, 3, 5, 7 and 11 for picking Purple, Yellow, Blue, Red and Green balls, respectively.


Further, the following information is known:

i. Each one of them picked different balls in each round except the last.

ii. Purple ball was picked more times than Green ball but less times than Blue ball.

iii. Each ball was picked at least once.

iv. R picked the ball which was picked only in round 2.

v. Red ball was picked in all the rounds and Q picked it in the second round.

vi. P, R and S picked different balls in all the four rounds.

vii. Total points earned because of Yellow ball were 18.

viii. P picked a Yellow ball in Round 2.


Q. Who picked a Purple ball in round 3?

  • a)
    P

  • b)
    R

  • c)
    S

  • d)
    Can't be determined

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Directions: Study the following information and answer the question th...
The total number of times balls were picked is 4*4 = 16, i.e. all the balls Red, Blue, Yellow, Green and Purple were together picked a total of 16 times. Total points earned because of Yellow ball was 18 and available points are 1, 3, 5, 7 and 11 from these points. There is only possibility of making 18, which is when 3 points ball was picked 6 times. Therefore, Yellow ball was picked 6 times and carries 3 points. All balls were picked a total of 16 times out of which Yellow ball was picked 6 times and hence rest of the 4 balls were picked a total of 10 times. If each ball was picked at least once, then the only one way in which balls could have been picked is 1, 2, 3 and 4 times in any order. Red ball was picked in each round; therefore, Red ball was picked 4 times. Purple ball was picked more times than Green ball but less times than Blue ball; therefore, Purple ball was picked 2 times whereas Green and Blue balls were picked 1 and 3 times, respectively. The following table shows the points and the number of times a ball was picked:

Since Yellow ball was picked 6 times, this is the ball which was picked more than once in the last round. If in every other round, no 2 persons had picked the same ball. Then, there are two cases: 1. Yellow ball was picked by everyone in the last round and 2 other times in 2 other rounds 2. Yellow ball was picked by 3 friends in the last round and 3 other times in 3 other rounds. But Red ball was picked in every round; hence, case 1 is not possible. Therefore, Yellow ball was picked by 3 friends in the last round and 3 other times in 3 other rounds. P picked a Yellow ball in round 2; hence, P cannot pick a Yellow ball in round 4 because P, R and S picked different balls in each round. Therefore, Q, R and S picked a Yellow ball in the last round; and since Red ball was picked in every round, P picked a Red ball in the last round. P picked a Yellow ball in round 2. R and S picked different balls in each round; therefore, they could not have picked a Yellow ball in any other round but still Yellow ball is to be picked 2 times. Therefore, Yellow ball was picked 2 more times by Q and since Q picked Red ball in round 2, he would have picked a Yellow ball in round 1 and round 3. This information is given in the table shown below:

R picked the ball which was picked only in round 2, i.e. R picked a Green ball in round 2. Blue ball was picked 3 times; hence, it was picked in round 1, 2 and 3. In round 2, only S is the one whose ball colour is not known, so it should be Blue. P and R picked a Blue ball in round 1 and round 3 in any order. R and S picked a Red ball in round 1 and round 3 in any order. Purple ball was picked by P and S in round 1 and round 3 in any order. The final table is as given below:

Therefore, it cannot be determined who picked a Purple ball in round 3.
Hence, option 4 is the correct answer.
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Most Upvoted Answer
Directions: Study the following information and answer the question th...
The total number of times balls were picked is 4*4 = 16, i.e. all the balls Red, Blue, Yellow, Green and Purple were together picked a total of 16 times. Total points earned because of Yellow ball was 18 and available points are 1, 3, 5, 7 and 11 from these points. There is only possibility of making 18, which is when 3 points ball was picked 6 times. Therefore, Yellow ball was picked 6 times and carries 3 points. All balls were picked a total of 16 times out of which Yellow ball was picked 6 times and hence rest of the 4 balls were picked a total of 10 times. If each ball was picked at least once, then the only one way in which balls could have been picked is 1, 2, 3 and 4 times in any order. Red ball was picked in each round; therefore, Red ball was picked 4 times. Purple ball was picked more times than Green ball but less times than Blue ball; therefore, Purple ball was picked 2 times whereas Green and Blue balls were picked 1 and 3 times, respectively. The following table shows the points and the number of times a ball was picked:

Since Yellow ball was picked 6 times, this is the ball which was picked more than once in the last round. If in every other round, no 2 persons had picked the same ball. Then, there are two cases: 1. Yellow ball was picked by everyone in the last round and 2 other times in 2 other rounds 2. Yellow ball was picked by 3 friends in the last round and 3 other times in 3 other rounds. But Red ball was picked in every round; hence, case 1 is not possible. Therefore, Yellow ball was picked by 3 friends in the last round and 3 other times in 3 other rounds. P picked a Yellow ball in round 2; hence, P cannot pick a Yellow ball in round 4 because P, R and S picked different balls in each round. Therefore, Q, R and S picked a Yellow ball in the last round; and since Red ball was picked in every round, P picked a Red ball in the last round. P picked a Yellow ball in round 2. R and S picked different balls in each round; therefore, they could not have picked a Yellow ball in any other round but still Yellow ball is to be picked 2 times. Therefore, Yellow ball was picked 2 more times by Q and since Q picked Red ball in round 2, he would have picked a Yellow ball in round 1 and round 3. This information is given in the table shown below:

R picked the ball which was picked only in round 2, i.e. R picked a Green ball in round 2. Blue ball was picked 3 times; hence, it was picked in round 1, 2 and 3. In round 2, only S is the one whose ball colour is not known, so it should be Blue. P and R picked a Blue ball in round 1 and round 3 in any order. R and S picked a Red ball in round 1 and round 3 in any order. Purple ball was picked by P and S in round 1 and round 3 in any order. The final table is as given below:

Therefore, it cannot be determined who picked a Purple ball in round 3.
Hence, option 4 is the correct answer.
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Community Answer
Directions: Study the following information and answer the question th...
Analysis of the Game
The game involves four friends (P, Q, R, S) picking balls of different colors, each with specific points. The information provided offers clues about their picks over four rounds.

Key Points from the Given Information:
- Each friend picked different balls in each round, except for the last round.
- The frequency of ball picks:
- Purple > Green
- Purple < />
- Each ball was selected at least once.
- R picked a ball only in round 2.
- Q picked the Red ball in round 2, which was picked every round.
- Total points from Yellow ball = 18, with P picking it in round 2.

Understanding Ball Picks and Points:
- The points for each color are:
- Purple = 1 point
- Yellow = 3 points
- Blue = 5 points
- Red = 7 points
- Green = 11 points
- Since Yellow's total points are 18, it means it was picked 6 times (3 points each).

Determining the Picks:
- Since R picked the Red ball in round 2, and only in that round, it suggests that R's options are limited.
- P has already picked Yellow in round 2, and Q picked Red.
- This leads to a situation where S must fill in the remaining ball choices.

Conclusion on the Purple Ball Pick:
Given the constraints:
- R's limited picks imply uncertainty about who picked which ball in round 3.
- Since P, Q, and R have defined their picks and S's choice remains ambiguous, it cannot be definitively stated who picked the Purple ball in round 3.
Thus, the answer is **D) Can't be determined**. There is not enough information to ascertain who specifically picked the Purple ball in that round.
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Directions: Study the following information and answer the question that follows.Four friends P, Q, R and S were playing a game in which they had to randomly pick a ball out of five balls of five different colours from a bag. They played the game for four rounds. The balls were of Red, Blue, Yellow, Green and Purple colours. Whenever they picked a ball, they got points 1, 3, 5, 7 and 11 for picking Purple, Yellow, Blue, Red and Green balls, respectively.Further, the following information is known:i. Each one of them picked different balls in each round except the last.ii. Purple ball was picked more times than Green ball but less times than Blue ball.iii. Each ball was picked at least once.iv. R picked the ball which was picked only in round 2.v. Red ball was picked in all the rounds and Q picked it in the second round.vi. P, R and S picked different balls in all the four rounds.vii. Total points earned because of Yellow ball were 18.viii. P picked a Yellow ball in Round 2.Q.Who picked a Purple ball in round 3?a)Pb)Rc)Sd)Cant be determinedCorrect answer is option 'D'. Can you explain this answer?
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Directions: Study the following information and answer the question that follows.Four friends P, Q, R and S were playing a game in which they had to randomly pick a ball out of five balls of five different colours from a bag. They played the game for four rounds. The balls were of Red, Blue, Yellow, Green and Purple colours. Whenever they picked a ball, they got points 1, 3, 5, 7 and 11 for picking Purple, Yellow, Blue, Red and Green balls, respectively.Further, the following information is known:i. Each one of them picked different balls in each round except the last.ii. Purple ball was picked more times than Green ball but less times than Blue ball.iii. Each ball was picked at least once.iv. R picked the ball which was picked only in round 2.v. Red ball was picked in all the rounds and Q picked it in the second round.vi. P, R and S picked different balls in all the four rounds.vii. Total points earned because of Yellow ball were 18.viii. P picked a Yellow ball in Round 2.Q.Who picked a Purple ball in round 3?a)Pb)Rc)Sd)Cant be determinedCorrect answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Study the following information and answer the question that follows.Four friends P, Q, R and S were playing a game in which they had to randomly pick a ball out of five balls of five different colours from a bag. They played the game for four rounds. The balls were of Red, Blue, Yellow, Green and Purple colours. Whenever they picked a ball, they got points 1, 3, 5, 7 and 11 for picking Purple, Yellow, Blue, Red and Green balls, respectively.Further, the following information is known:i. Each one of them picked different balls in each round except the last.ii. Purple ball was picked more times than Green ball but less times than Blue ball.iii. Each ball was picked at least once.iv. R picked the ball which was picked only in round 2.v. Red ball was picked in all the rounds and Q picked it in the second round.vi. P, R and S picked different balls in all the four rounds.vii. Total points earned because of Yellow ball were 18.viii. P picked a Yellow ball in Round 2.Q.Who picked a Purple ball in round 3?a)Pb)Rc)Sd)Cant be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the following information and answer the question that follows.Four friends P, Q, R and S were playing a game in which they had to randomly pick a ball out of five balls of five different colours from a bag. They played the game for four rounds. The balls were of Red, Blue, Yellow, Green and Purple colours. Whenever they picked a ball, they got points 1, 3, 5, 7 and 11 for picking Purple, Yellow, Blue, Red and Green balls, respectively.Further, the following information is known:i. Each one of them picked different balls in each round except the last.ii. Purple ball was picked more times than Green ball but less times than Blue ball.iii. Each ball was picked at least once.iv. R picked the ball which was picked only in round 2.v. Red ball was picked in all the rounds and Q picked it in the second round.vi. P, R and S picked different balls in all the four rounds.vii. Total points earned because of Yellow ball were 18.viii. P picked a Yellow ball in Round 2.Q.Who picked a Purple ball in round 3?a)Pb)Rc)Sd)Cant be determinedCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Directions: Study the following information and answer the question that follows.Four friends P, Q, R and S were playing a game in which they had to randomly pick a ball out of five balls of five different colours from a bag. They played the game for four rounds. The balls were of Red, Blue, Yellow, Green and Purple colours. Whenever they picked a ball, they got points 1, 3, 5, 7 and 11 for picking Purple, Yellow, Blue, Red and Green balls, respectively.Further, the following information is known:i. Each one of them picked different balls in each round except the last.ii. Purple ball was picked more times than Green ball but less times than Blue ball.iii. Each ball was picked at least once.iv. R picked the ball which was picked only in round 2.v. Red ball was picked in all the rounds and Q picked it in the second round.vi. P, R and S picked different balls in all the four rounds.vii. Total points earned because of Yellow ball were 18.viii. P picked a Yellow ball in Round 2.Q.Who picked a Purple ball in round 3?a)Pb)Rc)Sd)Cant be determinedCorrect 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.
Here you can find the meaning of Directions: Study the following information and answer the question that follows.Four friends P, Q, R and S were playing a game in which they had to randomly pick a ball out of five balls of five different colours from a bag. They played the game for four rounds. The balls were of Red, Blue, Yellow, Green and Purple colours. Whenever they picked a ball, they got points 1, 3, 5, 7 and 11 for picking Purple, Yellow, Blue, Red and Green balls, respectively.Further, the following information is known:i. Each one of them picked different balls in each round except the last.ii. Purple ball was picked more times than Green ball but less times than Blue ball.iii. Each ball was picked at least once.iv. R picked the ball which was picked only in round 2.v. Red ball was picked in all the rounds and Q picked it in the second round.vi. P, R and S picked different balls in all the four rounds.vii. Total points earned because of Yellow ball were 18.viii. P picked a Yellow ball in Round 2.Q.Who picked a Purple ball in round 3?a)Pb)Rc)Sd)Cant be determinedCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: Study the following information and answer the question that follows.Four friends P, Q, R and S were playing a game in which they had to randomly pick a ball out of five balls of five different colours from a bag. They played the game for four rounds. The balls were of Red, Blue, Yellow, Green and Purple colours. Whenever they picked a ball, they got points 1, 3, 5, 7 and 11 for picking Purple, Yellow, Blue, Red and Green balls, respectively.Further, the following information is known:i. Each one of them picked different balls in each round except the last.ii. Purple ball was picked more times than Green ball but less times than Blue ball.iii. Each ball was picked at least once.iv. R picked the ball which was picked only in round 2.v. Red ball was picked in all the rounds and Q picked it in the second round.vi. P, R and S picked different balls in all the four rounds.vii. Total points earned because of Yellow ball were 18.viii. P picked a Yellow ball in Round 2.Q.Who picked a Purple ball in round 3?a)Pb)Rc)Sd)Cant be determinedCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: Study the following information and answer the question that follows.Four friends P, Q, R and S were playing a game in which they had to randomly pick a ball out of five balls of five different colours from a bag. They played the game for four rounds. The balls were of Red, Blue, Yellow, Green and Purple colours. Whenever they picked a ball, they got points 1, 3, 5, 7 and 11 for picking Purple, Yellow, Blue, Red and Green balls, respectively.Further, the following information is known:i. Each one of them picked different balls in each round except the last.ii. Purple ball was picked more times than Green ball but less times than Blue ball.iii. Each ball was picked at least once.iv. R picked the ball which was picked only in round 2.v. Red ball was picked in all the rounds and Q picked it in the second round.vi. P, R and S picked different balls in all the four rounds.vii. Total points earned because of Yellow ball were 18.viii. P picked a Yellow ball in Round 2.Q.Who picked a Purple ball in round 3?a)Pb)Rc)Sd)Cant be determinedCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions: Study the following information and answer the question that follows.Four friends P, Q, R and S were playing a game in which they had to randomly pick a ball out of five balls of five different colours from a bag. They played the game for four rounds. The balls were of Red, Blue, Yellow, Green and Purple colours. Whenever they picked a ball, they got points 1, 3, 5, 7 and 11 for picking Purple, Yellow, Blue, Red and Green balls, respectively.Further, the following information is known:i. Each one of them picked different balls in each round except the last.ii. Purple ball was picked more times than Green ball but less times than Blue ball.iii. Each ball was picked at least once.iv. R picked the ball which was picked only in round 2.v. Red ball was picked in all the rounds and Q picked it in the second round.vi. P, R and S picked different balls in all the four rounds.vii. Total points earned because of Yellow ball were 18.viii. P picked a Yellow ball in Round 2.Q.Who picked a Purple ball in round 3?a)Pb)Rc)Sd)Cant be determinedCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Study the following information and answer the question that follows.Four friends P, Q, R and S were playing a game in which they had to randomly pick a ball out of five balls of five different colours from a bag. They played the game for four rounds. The balls were of Red, Blue, Yellow, Green and Purple colours. Whenever they picked a ball, they got points 1, 3, 5, 7 and 11 for picking Purple, Yellow, Blue, Red and Green balls, respectively.Further, the following information is known:i. Each one of them picked different balls in each round except the last.ii. Purple ball was picked more times than Green ball but less times than Blue ball.iii. Each ball was picked at least once.iv. R picked the ball which was picked only in round 2.v. Red ball was picked in all the rounds and Q picked it in the second round.vi. P, R and S picked different balls in all the four rounds.vii. Total points earned because of Yellow ball were 18.viii. P picked a Yellow ball in Round 2.Q.Who picked a Purple ball in round 3?a)Pb)Rc)Sd)Cant be determinedCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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