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Directions: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.
Q. What is the percentage of families in the city have telephones?
(I) 50% of the families of the city have televisions.
(II) 30% of the televisions owners of the city have telephones.
  • a)
    Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient
  • b)
    Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
  • d)
    EACH statement ALONE is sufficient
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions: The question below consists of a question and two stateme...
Understanding the Question
The question asks for the percentage of families in the city that have telephones.
Analyzing Statement (I)
- Content of Statement (I): 50% of the families in the city have televisions.
- Relevance: This statement does not provide any information about families that own telephones. Therefore, it cannot help determine the percentage of families with telephones.
Analyzing Statement (II)
- Content of Statement (II): 30% of the television owners in the city have telephones.
- Relevance: This statement gives information about a subset of families (those with televisions) and how many of them have telephones. However, it does not tell us how many families in total own televisions, so it cannot independently determine the percentage of families with telephones.
Combining Both Statements
- Using Both Statements Together:
- From Statement (I), we know that 50% of families have televisions.
- From Statement (II), we know that 30% of these television owners have telephones.
- Calculating the Percentage:
- If 50% of families have televisions, and 30% of those have telephones, we can calculate the percentage of families with telephones as follows:
- Percentage of families with telephones = 30% of 50% = 0.3 * 0.5 = 0.15 or 15%.
Conclusion
- Sufficiency of Statements:
- Statement (I) alone is insufficient.
- Statement (II) alone is insufficient.
- Both statements together provide a clear percentage of families with telephones.
Thus, the correct answer is option 'C': BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
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Community Answer
Directions: The question below consists of a question and two stateme...
Let total families in city = x
(i) → Families having television = x/2
(ii) → Families having telephones = 30% of x/2 = 3x/ 20
∴ Required % = 3x/ 20 / 2 x 100
Hence, both statements together are necessary to answer the question.
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Directions: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is the percentage of families in the city have telephones?(I) 50% of the families of the city have televisions.(II) 30% of the televisions owners of the city have telephones.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficientb)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficientc)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficientd)EACH statement ALONE is sufficientCorrect answer is option 'C'. Can you explain this answer?
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Directions: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is the percentage of families in the city have telephones?(I) 50% of the families of the city have televisions.(II) 30% of the televisions owners of the city have telephones.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficientb)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficientc)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficientd)EACH statement ALONE is sufficientCorrect answer is option 'C'. 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: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is the percentage of families in the city have telephones?(I) 50% of the families of the city have televisions.(II) 30% of the televisions owners of the city have telephones.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficientb)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficientc)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficientd)EACH statement ALONE is sufficientCorrect answer is option 'C'. 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: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is the percentage of families in the city have telephones?(I) 50% of the families of the city have televisions.(II) 30% of the televisions owners of the city have telephones.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficientb)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficientc)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficientd)EACH statement ALONE is sufficientCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Directions: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is the percentage of families in the city have telephones?(I) 50% of the families of the city have televisions.(II) 30% of the televisions owners of the city have telephones.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficientb)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficientc)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficientd)EACH statement ALONE is sufficientCorrect answer is option 'C'. 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 question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is the percentage of families in the city have telephones?(I) 50% of the families of the city have televisions.(II) 30% of the televisions owners of the city have telephones.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficientb)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficientc)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficientd)EACH statement ALONE is sufficientCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is the percentage of families in the city have telephones?(I) 50% of the families of the city have televisions.(II) 30% of the televisions owners of the city have telephones.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficientb)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficientc)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficientd)EACH statement ALONE is sufficientCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Directions: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is the percentage of families in the city have telephones?(I) 50% of the families of the city have televisions.(II) 30% of the televisions owners of the city have telephones.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficientb)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficientc)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficientd)EACH statement ALONE is sufficientCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is the percentage of families in the city have telephones?(I) 50% of the families of the city have televisions.(II) 30% of the televisions owners of the city have telephones.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficientb)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficientc)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficientd)EACH statement ALONE is sufficientCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: The question below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is the percentage of families in the city have telephones?(I) 50% of the families of the city have televisions.(II) 30% of the televisions owners of the city have telephones.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficientb)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficientc)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficientd)EACH statement ALONE is sufficientCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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