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Directions: The following question is accompanied by statements A, B and C. You have to determine which statement(s) is/are sufficient to answer the question.
Q. What is the average number of balls in boxes A, B and C?
A. If 5 balls are drawn each from boxes A, B and C, then the average number of balls in the three boxes is 15.
B. If 25 balls are added to each of the boxes A, B and C, the average number of balls in the three boxes becomes 35.
C. Box A has 25 balls, which has 15 balls more than the average number of balls of boxes B and C.
  • a)
    Only A alone is sufficient
  • b)
    Only B alone is sufficient
  • c)
    Only C alone is sufficient
  • d)
    Both A and B together are sufficient
  • e)
    Each of the statements A, B and C alone is sufficient
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
Directions:The following question is accompanied by statements A, B an...
Statement A: If 5 balls are drawn each from boxes A, B, and C, then the average number of balls in the three boxes is 15.

Statement B: If 25 balls are added to each of the boxes A, B, and C, the average number of balls in the three boxes becomes 35.

Statement C: Box A has 25 balls, which has 15 balls more than the average number of balls of boxes B and C.

We need to determine the average number of balls in boxes A, B, and C.

Analysis:
To find the average number of balls in the three boxes, we need to know the number of balls in each box. Let's analyze each statement:

Statement A: If 5 balls are drawn each from boxes A, B, and C, then the average number of balls in the three boxes is 15.

This statement provides information about the average after drawing 5 balls from each box. However, it does not give us any information about the initial number of balls in the boxes. Therefore, statement A alone is not sufficient to answer the question.

Statement B: If 25 balls are added to each of the boxes A, B, and C, the average number of balls in the three boxes becomes 35.

This statement provides information about the average after adding 25 balls to each box. However, it does not give us any information about the initial number of balls in the boxes. Therefore, statement B alone is not sufficient to answer the question.

Statement C: Box A has 25 balls, which has 15 balls more than the average number of balls of boxes B and C.

This statement provides information about the number of balls in box A, but it doesn't give us any information about the number of balls in boxes B and C. Therefore, statement C alone is not sufficient to answer the question.

Combined analysis:
From statement A, we know that after drawing 5 balls from each box, the average is 15. From statement B, we know that after adding 25 balls to each box, the average is 35.

By combining these two statements, we can determine the initial number of balls in each box. Let x be the initial number of balls in each box.

Using statement A, the sum of the initial number of balls in the three boxes is 3x.
Using statement B, the sum of the number of balls after adding 25 to each box is 3x + 75.

We can set up the following equation to solve for x:
(3x + 75) / 3 = 35
3x + 75 = 105
3x = 30
x = 10

Therefore, the initial number of balls in each box is 10.

Conclusion:
By combining statements A and B, we can determine the initial number of balls in each box, which is necessary to find the average number of balls in boxes A, B, and C. Therefore, both statements A and B together are sufficient to answer the question.

Hence, the correct answer is option D - Both A and B together are sufficient.
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Directions:The following question is accompanied by statements A, B and C. You have to determine which statement(s) is/are sufficient to answer the question.Q. What is the average number of balls in boxes A, B and C?A. If 5 balls are drawn each from boxes A, B and C, then the average number of balls in the three boxes is 15.B. If 25 balls are added to each of the boxes A, B and C, the average number of balls in the three boxes becomes 35.C. Box A has 25 balls, which has 15 balls more than the average number of balls of boxes B and C.a)Only A alone is sufficientb)Only B alone is sufficientc)Only C alone is sufficientd)Both A and B together are sufficiente)Each of the statements A, B and C alone is sufficientCorrect answer is option 'E'. Can you explain this answer?
Question Description
Directions:The following question is accompanied by statements A, B and C. You have to determine which statement(s) is/are sufficient to answer the question.Q. What is the average number of balls in boxes A, B and C?A. If 5 balls are drawn each from boxes A, B and C, then the average number of balls in the three boxes is 15.B. If 25 balls are added to each of the boxes A, B and C, the average number of balls in the three boxes becomes 35.C. Box A has 25 balls, which has 15 balls more than the average number of balls of boxes B and C.a)Only A alone is sufficientb)Only B alone is sufficientc)Only C alone is sufficientd)Both A and B together are sufficiente)Each of the statements A, B and C alone is sufficientCorrect answer is option 'E'. 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 Directions:The following question is accompanied by statements A, B and C. You have to determine which statement(s) is/are sufficient to answer the question.Q. What is the average number of balls in boxes A, B and C?A. If 5 balls are drawn each from boxes A, B and C, then the average number of balls in the three boxes is 15.B. If 25 balls are added to each of the boxes A, B and C, the average number of balls in the three boxes becomes 35.C. Box A has 25 balls, which has 15 balls more than the average number of balls of boxes B and C.a)Only A alone is sufficientb)Only B alone is sufficientc)Only C alone is sufficientd)Both A and B together are sufficiente)Each of the statements A, B and C alone is sufficientCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions:The following question is accompanied by statements A, B and C. You have to determine which statement(s) is/are sufficient to answer the question.Q. What is the average number of balls in boxes A, B and C?A. If 5 balls are drawn each from boxes A, B and C, then the average number of balls in the three boxes is 15.B. If 25 balls are added to each of the boxes A, B and C, the average number of balls in the three boxes becomes 35.C. Box A has 25 balls, which has 15 balls more than the average number of balls of boxes B and C.a)Only A alone is sufficientb)Only B alone is sufficientc)Only C alone is sufficientd)Both A and B together are sufficiente)Each of the statements A, B and C alone is sufficientCorrect answer is option 'E'. Can you explain this answer?.
Solutions for Directions:The following question is accompanied by statements A, B and C. You have to determine which statement(s) is/are sufficient to answer the question.Q. What is the average number of balls in boxes A, B and C?A. If 5 balls are drawn each from boxes A, B and C, then the average number of balls in the three boxes is 15.B. If 25 balls are added to each of the boxes A, B and C, the average number of balls in the three boxes becomes 35.C. Box A has 25 balls, which has 15 balls more than the average number of balls of boxes B and C.a)Only A alone is sufficientb)Only B alone is sufficientc)Only C alone is sufficientd)Both A and B together are sufficiente)Each of the statements A, B and C alone is sufficientCorrect answer is option 'E'. 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:The following question is accompanied by statements A, B and C. You have to determine which statement(s) is/are sufficient to answer the question.Q. What is the average number of balls in boxes A, B and C?A. If 5 balls are drawn each from boxes A, B and C, then the average number of balls in the three boxes is 15.B. If 25 balls are added to each of the boxes A, B and C, the average number of balls in the three boxes becomes 35.C. Box A has 25 balls, which has 15 balls more than the average number of balls of boxes B and C.a)Only A alone is sufficientb)Only B alone is sufficientc)Only C alone is sufficientd)Both A and B together are sufficiente)Each of the statements A, B and C alone is sufficientCorrect answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions:The following question is accompanied by statements A, B and C. You have to determine which statement(s) is/are sufficient to answer the question.Q. What is the average number of balls in boxes A, B and C?A. If 5 balls are drawn each from boxes A, B and C, then the average number of balls in the three boxes is 15.B. If 25 balls are added to each of the boxes A, B and C, the average number of balls in the three boxes becomes 35.C. Box A has 25 balls, which has 15 balls more than the average number of balls of boxes B and C.a)Only A alone is sufficientb)Only B alone is sufficientc)Only C alone is sufficientd)Both A and B together are sufficiente)Each of the statements A, B and C alone is sufficientCorrect answer is option 'E'. Can you explain this answer?, a detailed solution for Directions:The following question is accompanied by statements A, B and C. You have to determine which statement(s) is/are sufficient to answer the question.Q. What is the average number of balls in boxes A, B and C?A. If 5 balls are drawn each from boxes A, B and C, then the average number of balls in the three boxes is 15.B. If 25 balls are added to each of the boxes A, B and C, the average number of balls in the three boxes becomes 35.C. Box A has 25 balls, which has 15 balls more than the average number of balls of boxes B and C.a)Only A alone is sufficientb)Only B alone is sufficientc)Only C alone is sufficientd)Both A and B together are sufficiente)Each of the statements A, B and C alone is sufficientCorrect answer is option 'E'. Can you explain this answer? has been provided alongside types of Directions:The following question is accompanied by statements A, B and C. You have to determine which statement(s) is/are sufficient to answer the question.Q. What is the average number of balls in boxes A, B and C?A. If 5 balls are drawn each from boxes A, B and C, then the average number of balls in the three boxes is 15.B. If 25 balls are added to each of the boxes A, B and C, the average number of balls in the three boxes becomes 35.C. Box A has 25 balls, which has 15 balls more than the average number of balls of boxes B and C.a)Only A alone is sufficientb)Only B alone is sufficientc)Only C alone is sufficientd)Both A and B together are sufficiente)Each of the statements A, B and C alone is sufficientCorrect answer is option 'E'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions:The following question is accompanied by statements A, B and C. You have to determine which statement(s) is/are sufficient to answer the question.Q. What is the average number of balls in boxes A, B and C?A. If 5 balls are drawn each from boxes A, B and C, then the average number of balls in the three boxes is 15.B. If 25 balls are added to each of the boxes A, B and C, the average number of balls in the three boxes becomes 35.C. Box A has 25 balls, which has 15 balls more than the average number of balls of boxes B and C.a)Only A alone is sufficientb)Only B alone is sufficientc)Only C alone is sufficientd)Both A and B together are sufficiente)Each of the statements A, B and C alone is sufficientCorrect answer is option 'E'. Can you explain this answer? tests, examples and also practice CAT tests.
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