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DIRECTIONS for questions: Each question is followed by two statements, I and II, giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question and mark your answer as I have a total of 125 fruits - apples and oranges put together - which are to be distributed to 12 boys and 9 girls of a class, such that each girl gets at least one apple but no orange but each boy gets at least one apple and at least one orange. Can apples be distributed equally to all the 21 students? Assume that the number of fruits of any variety, distributed for any person is always an integer.
I. The number of apples is a multiple of 7.
II. The oranges can be distributed equally to all the boys.
  • a)
    if the question can be answered by using one of the statements alone but cannot be answered by using the other statement alone.
  • b)
    if the question can be answered by using either statement alone.
  • c)
    if the question can be answered by using both the statements together but cannot be answered by using either statement alone.
  • d)
    if the question cannot be answered even by using both the statements together.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
DIRECTIONS for questions: Each question is followed by two statements...
From statement I alone, we know that the number of apples is a multiple of seven, but we do not know whether it is a multiple of three or not. So, we cannot find whether it is a multiple of 21 or not.
Hence, statement I alone is not sufficient
From statement II alone, the number of oranges is 12k, where k is a whole number and since total fruits is 125, if there are X apples, X + 12k = 125.
Since 125 is not divisible by 3 and 12k is divisible by 3, X is not divisible by 3. Hence it is not divisible by 21. Hence statement II alone is sufficient.
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Most Upvoted Answer
DIRECTIONS for questions: Each question is followed by two statements...
Understanding the Problem
We have a total of 125 fruits (apples and oranges) to be distributed among 21 students (12 boys and 9 girls). The distribution rules are:
- Each girl must receive at least one apple and no oranges.
- Each boy must receive at least one apple and at least one orange.
The question is whether the apples can be distributed equally among all 21 students.
Analyzing Statements
- Statement I: The number of apples is a multiple of 7.
- Statement II: The oranges can be distributed equally to all the boys.
Evaluating Statement I
- Since the total number of students is 21, for apples to be distributed equally, the total number of apples must be divisible by 21.
- Knowing the number of apples is a multiple of 7 helps but does not guarantee divisibility by 21. Therefore, Statement I alone does not provide a definitive answer.
Evaluating Statement II
- If the oranges can be distributed equally among the 12 boys, then the total number of oranges must be divisible by 12.
- However, this information does not directly impact the equal distribution of apples among all 21 students. Therefore, Statement II alone also does not provide a definitive answer.
Combining Both Statements
- Even when both statements are considered together, we still do not have a definitive conclusion about the equal distribution of apples among all students.
- Thus, while each statement contributes information about the distribution conditions, neither alone nor together can confirm whether apples can be distributed equally.
Conclusion
- The correct answer is option 'A' because Statement I alone provides a partial clue about the number of apples, while Statement II discusses oranges, but neither can answer the question of equal apple distribution independently.
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DIRECTIONS for questions: Each question is followed by two statements, I and II, giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question and mark your answer as I have a total of 125 fruits - apples and oranges put together - which are to be distributed to 12 boys and 9 girls of a class, such that each girl gets at least one apple but no orange but each boy gets at least one apple and at least one orange. Can apples be distributed equally to all the 21 students? Assume that the number of fruits of any variety, distributed for any person is always an integer.I. The number of apples is a multiple of 7.II. The oranges can be distributed equally to all the boys.a)if the question can be answered by using one of the statements alone but cannot be answered by using the other statement alone.b)if the question can be answered by using either statement alone.c)if the question can be answered by using both the statements together but cannot be answered by using either statement alone.d)if the question cannot be answered even by using both the statements together.Correct answer is option 'A'. Can you explain this answer?
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DIRECTIONS for questions: Each question is followed by two statements, I and II, giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question and mark your answer as I have a total of 125 fruits - apples and oranges put together - which are to be distributed to 12 boys and 9 girls of a class, such that each girl gets at least one apple but no orange but each boy gets at least one apple and at least one orange. Can apples be distributed equally to all the 21 students? Assume that the number of fruits of any variety, distributed for any person is always an integer.I. The number of apples is a multiple of 7.II. The oranges can be distributed equally to all the boys.a)if the question can be answered by using one of the statements alone but cannot be answered by using the other statement alone.b)if the question can be answered by using either statement alone.c)if the question can be answered by using both the statements together but cannot be answered by using either statement alone.d)if the question cannot be answered even by using both the statements together.Correct answer is option 'A'. 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 for questions: Each question is followed by two statements, I and II, giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question and mark your answer as I have a total of 125 fruits - apples and oranges put together - which are to be distributed to 12 boys and 9 girls of a class, such that each girl gets at least one apple but no orange but each boy gets at least one apple and at least one orange. Can apples be distributed equally to all the 21 students? Assume that the number of fruits of any variety, distributed for any person is always an integer.I. The number of apples is a multiple of 7.II. The oranges can be distributed equally to all the boys.a)if the question can be answered by using one of the statements alone but cannot be answered by using the other statement alone.b)if the question can be answered by using either statement alone.c)if the question can be answered by using both the statements together but cannot be answered by using either statement alone.d)if the question cannot be answered even by using both the statements together.Correct answer is option 'A'. 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 for questions: Each question is followed by two statements, I and II, giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question and mark your answer as I have a total of 125 fruits - apples and oranges put together - which are to be distributed to 12 boys and 9 girls of a class, such that each girl gets at least one apple but no orange but each boy gets at least one apple and at least one orange. Can apples be distributed equally to all the 21 students? Assume that the number of fruits of any variety, distributed for any person is always an integer.I. The number of apples is a multiple of 7.II. The oranges can be distributed equally to all the boys.a)if the question can be answered by using one of the statements alone but cannot be answered by using the other statement alone.b)if the question can be answered by using either statement alone.c)if the question can be answered by using both the statements together but cannot be answered by using either statement alone.d)if the question cannot be answered even by using both the statements together.Correct answer is option 'A'. Can you explain this answer?.
Solutions for DIRECTIONS for questions: Each question is followed by two statements, I and II, giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question and mark your answer as I have a total of 125 fruits - apples and oranges put together - which are to be distributed to 12 boys and 9 girls of a class, such that each girl gets at least one apple but no orange but each boy gets at least one apple and at least one orange. Can apples be distributed equally to all the 21 students? Assume that the number of fruits of any variety, distributed for any person is always an integer.I. The number of apples is a multiple of 7.II. The oranges can be distributed equally to all the boys.a)if the question can be answered by using one of the statements alone but cannot be answered by using the other statement alone.b)if the question can be answered by using either statement alone.c)if the question can be answered by using both the statements together but cannot be answered by using either statement alone.d)if the question cannot be answered even by using both the statements together.Correct answer is option 'A'. 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 for questions: Each question is followed by two statements, I and II, giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question and mark your answer as I have a total of 125 fruits - apples and oranges put together - which are to be distributed to 12 boys and 9 girls of a class, such that each girl gets at least one apple but no orange but each boy gets at least one apple and at least one orange. Can apples be distributed equally to all the 21 students? Assume that the number of fruits of any variety, distributed for any person is always an integer.I. The number of apples is a multiple of 7.II. The oranges can be distributed equally to all the boys.a)if the question can be answered by using one of the statements alone but cannot be answered by using the other statement alone.b)if the question can be answered by using either statement alone.c)if the question can be answered by using both the statements together but cannot be answered by using either statement alone.d)if the question cannot be answered even by using both the statements together.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of DIRECTIONS for questions: Each question is followed by two statements, I and II, giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question and mark your answer as I have a total of 125 fruits - apples and oranges put together - which are to be distributed to 12 boys and 9 girls of a class, such that each girl gets at least one apple but no orange but each boy gets at least one apple and at least one orange. Can apples be distributed equally to all the 21 students? Assume that the number of fruits of any variety, distributed for any person is always an integer.I. The number of apples is a multiple of 7.II. The oranges can be distributed equally to all the boys.a)if the question can be answered by using one of the statements alone but cannot be answered by using the other statement alone.b)if the question can be answered by using either statement alone.c)if the question can be answered by using both the statements together but cannot be answered by using either statement alone.d)if the question cannot be answered even by using both the statements together.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for DIRECTIONS for questions: Each question is followed by two statements, I and II, giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question and mark your answer as I have a total of 125 fruits - apples and oranges put together - which are to be distributed to 12 boys and 9 girls of a class, such that each girl gets at least one apple but no orange but each boy gets at least one apple and at least one orange. Can apples be distributed equally to all the 21 students? Assume that the number of fruits of any variety, distributed for any person is always an integer.I. The number of apples is a multiple of 7.II. The oranges can be distributed equally to all the boys.a)if the question can be answered by using one of the statements alone but cannot be answered by using the other statement alone.b)if the question can be answered by using either statement alone.c)if the question can be answered by using both the statements together but cannot be answered by using either statement alone.d)if the question cannot be answered even by using both the statements together.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of DIRECTIONS for questions: Each question is followed by two statements, I and II, giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question and mark your answer as I have a total of 125 fruits - apples and oranges put together - which are to be distributed to 12 boys and 9 girls of a class, such that each girl gets at least one apple but no orange but each boy gets at least one apple and at least one orange. Can apples be distributed equally to all the 21 students? Assume that the number of fruits of any variety, distributed for any person is always an integer.I. The number of apples is a multiple of 7.II. The oranges can be distributed equally to all the boys.a)if the question can be answered by using one of the statements alone but cannot be answered by using the other statement alone.b)if the question can be answered by using either statement alone.c)if the question can be answered by using both the statements together but cannot be answered by using either statement alone.d)if the question cannot be answered even by using both the statements together.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice DIRECTIONS for questions: Each question is followed by two statements, I and II, giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question and mark your answer as I have a total of 125 fruits - apples and oranges put together - which are to be distributed to 12 boys and 9 girls of a class, such that each girl gets at least one apple but no orange but each boy gets at least one apple and at least one orange. Can apples be distributed equally to all the 21 students? Assume that the number of fruits of any variety, distributed for any person is always an integer.I. The number of apples is a multiple of 7.II. The oranges can be distributed equally to all the boys.a)if the question can be answered by using one of the statements alone but cannot be answered by using the other statement alone.b)if the question can be answered by using either statement alone.c)if the question can be answered by using both the statements together but cannot be answered by using either statement alone.d)if the question cannot be answered even by using both the statements together.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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