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Directions: The question below is followed by two statements I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and choose the correct alternative.
I. The sum of the digits is 6.
II. The digit at tens place is double the digit at units place.
Q. Which 2-digit number is it?
  • a)
    The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
  • b)
    The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
  • c)
    The data in either statement I alone or statement II alone is sufficient to answer the question.
  • d)
    The data in both statements I and II together is necessary to answer the question.
  • e)
    The data in both statements I and II together is not sufficient to answer the question.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: The question below is followed by two statements I and II...
Understanding the Problem
To determine which 2-digit number meets the conditions set by the statements, we need to analyze each statement carefully.
Statement I: The sum of the digits is 6.
- Possible pairs of digits (tens and units) that sum to 6 are:
- (0, 6)
- (1, 5)
- (2, 4)
- (3, 3)
- (4, 2)
- (5, 1)
- (6, 0)
- None of these pairs individually specify which number it is, so this statement alone is insufficient.
Statement II: The digit at the tens place is double the digit at the units place.
- Let the unit digit be x. Then the tens digit is 2x.
- The possible values for x (0 to 4) lead to pairs:
- If x = 1, tens = 2 → number = 21
- If x = 2, tens = 4 → number = 42
- If x = 3, tens = 6 → number = 63
- If x = 4, tens = 8 → number = 84
- However, this statement alone doesn’t provide a unique 2-digit number, as multiple numbers can satisfy this condition.
Combining Both Statements
- From Statement I, the pairs of digits that sum to 6 were identified.
- From Statement II, we derived pairs where the tens digit is double the units digit.
- The common pair that satisfies both statements is:
- (2, 4) → 24 (sum = 6, tens = 2, units = 4)
Conclusion
- Both statements together narrow down to a unique number (24).
- Therefore, the correct choice is option 'D': both statements I and II together are necessary to answer the question.
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Community Answer
Directions: The question below is followed by two statements I and II...
Statement I alone is not sufficient as the number could be 42, 24, 51, 15, 60 or 33.
Statement II alone is not sufficient as the number could be 84, 63, 42 or 21.
Combining the statements I and II, we get the number as 42.
Hence, option (D) is the correct answer.
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Directions: The question below is followed by two statements I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and choose the correct alternative.I. The sum of the digits is 6.II. The digit at tens place is double the digit at units place.Q. Which 2-digit number is it?a)The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.b)The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.c)The data in either statement I alone or statement II alone is sufficient to answer the question.d)The data in both statements I and II together is necessary to answer the question.e)The data in both statements I and II together is not sufficient to answer the question.Correct answer is option 'D'. Can you explain this answer?
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Directions: The question below is followed by two statements I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and choose the correct alternative.I. The sum of the digits is 6.II. The digit at tens place is double the digit at units place.Q. Which 2-digit number is it?a)The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.b)The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.c)The data in either statement I alone or statement II alone is sufficient to answer the question.d)The data in both statements I and II together is necessary to answer the question.e)The data in both statements I and II together is not sufficient to answer the question.Correct 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: The question below is followed by two statements I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and choose the correct alternative.I. The sum of the digits is 6.II. The digit at tens place is double the digit at units place.Q. Which 2-digit number is it?a)The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.b)The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.c)The data in either statement I alone or statement II alone is sufficient to answer the question.d)The data in both statements I and II together is necessary to answer the question.e)The data in both statements I and II together is not sufficient to answer the question.Correct 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: The question below is followed by two statements I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and choose the correct alternative.I. The sum of the digits is 6.II. The digit at tens place is double the digit at units place.Q. Which 2-digit number is it?a)The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.b)The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.c)The data in either statement I alone or statement II alone is sufficient to answer the question.d)The data in both statements I and II together is necessary to answer the question.e)The data in both statements I and II together is not sufficient to answer the question.Correct answer is option 'D'. Can you explain this answer?.
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Which 2-digit number is it?a)The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.b)The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.c)The data in either statement I alone or statement II alone is sufficient to answer the question.d)The data in both statements I and II together is necessary to answer the question.e)The data in both statements I and II together is not sufficient to answer the question.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: The question below is followed by two statements I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and choose the correct alternative.I. The sum of the digits is 6.II. 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