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These statements provide data that may help answer the respective questions. Read the questions and the statements and determine if the data provided by the statements is sufficient or insufficient, on their own or together, to answer the questions. Accordingly, choose the appropriate option given below the questions.
A group of six friends noticed that the sum of their ages is the square of a prime number. What is the average age of the group?
Statement I: All members are between 50 and 85 years of age.
Statement II: The standard deviation of their ages is 4.6.
  • a)
    Statement I alone is sufficient to answer.
  • b)
    Statement II alone is sufficient to answer.
  • c)
    Either of the statement is sufficient to answer.
  • d)
    Both statements are required to answer.
  • e)
    Additional information is required.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
These statements provide data that may help answer the respective que...
Sum of the ages of the 6 friends is the square of a prime number.
Statement I states that all the members were aged between 50 and 85 years. There are 6 friends in total. Therefore, the sum of the ages can vary from 6*50 to 6*85.
Sum of the ages of the 6 persons should lie between 300 and 510.
361 is the only square of a prime number (19) in the given range. Therefore, statement I alone is sufficient to answer the question.
Statement II states that the standard deviation of their ages is 4.6. SD gives us how much the values deviate from the mean. We cannot obtain the mean using the SD. Therefore, statement II alone is insufficient to answer the question without knowing the values in the data set.
Therefore, option A is the right answer.
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Most Upvoted Answer
These statements provide data that may help answer the respective que...
Statement Analysis:

Statement I: All members are between 50 and 85 years of age.

Statement II: The standard deviation of their ages is 4.6.

Analysis:
To find the average age of the group, we need to determine the individual ages of the six friends.

Statement I: Since all members are between 50 and 85 years of age, we have a range within which their ages lie. This information is not sufficient to calculate the average age as we do not have specific ages.

Statement II: The standard deviation of 4.6 helps us understand the spread of ages within the group, but it does not provide the actual ages of the friends. Therefore, this statement alone is also insufficient to find the average age.

Combining Statements: Even when combining both statements, we still do not have the specific ages of the friends. Therefore, even together, the statements do not provide enough information to calculate the average age.

Conclusion: As neither statement alone nor together is sufficient to determine the average age of the group, the correct answer is that additional information is required.
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These statements provide data that may help answer the respective questions. Read the questions and the statements and determine if the data provided by the statements is sufficient or insufficient, on their own or together, to answer the questions. Accordingly, choose the appropriate option given below the questions.A group of six friends noticed that the sum of their ages is the square of a prime number. What is the average age of the group?Statement I: All members are between 50 and 85 years of age.Statement II: The standard deviation of their ages is 4.6.a)Statement I alone is sufficient to answer.b)Statement II alone is sufficient to answer.c)Either of the statement is sufficient to answer.d)Both statements are required to answer.e)Additional information is required.Correct answer is option 'A'. Can you explain this answer?
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These statements provide data that may help answer the respective questions. Read the questions and the statements and determine if the data provided by the statements is sufficient or insufficient, on their own or together, to answer the questions. Accordingly, choose the appropriate option given below the questions.A group of six friends noticed that the sum of their ages is the square of a prime number. What is the average age of the group?Statement I: All members are between 50 and 85 years of age.Statement II: The standard deviation of their ages is 4.6.a)Statement I alone is sufficient to answer.b)Statement II alone is sufficient to answer.c)Either of the statement is sufficient to answer.d)Both statements are required to answer.e)Additional information is required.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 These statements provide data that may help answer the respective questions. Read the questions and the statements and determine if the data provided by the statements is sufficient or insufficient, on their own or together, to answer the questions. Accordingly, choose the appropriate option given below the questions.A group of six friends noticed that the sum of their ages is the square of a prime number. What is the average age of the group?Statement I: All members are between 50 and 85 years of age.Statement II: The standard deviation of their ages is 4.6.a)Statement I alone is sufficient to answer.b)Statement II alone is sufficient to answer.c)Either of the statement is sufficient to answer.d)Both statements are required to answer.e)Additional information is required.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 These statements provide data that may help answer the respective questions. Read the questions and the statements and determine if the data provided by the statements is sufficient or insufficient, on their own or together, to answer the questions. Accordingly, choose the appropriate option given below the questions.A group of six friends noticed that the sum of their ages is the square of a prime number. What is the average age of the group?Statement I: All members are between 50 and 85 years of age.Statement II: The standard deviation of their ages is 4.6.a)Statement I alone is sufficient to answer.b)Statement II alone is sufficient to answer.c)Either of the statement is sufficient to answer.d)Both statements are required to answer.e)Additional information is required.Correct answer is option 'A'. Can you explain this answer?.
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