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Each question is followed by two statements, I and II. Answer each question using the following instructions:
Mark (1) if the question can be answered by using statement I alone but not by using statement II alone.
Mark (2) if the question can be answered by using statement II alone but not by using statement I alone.
Mark (3) if the question can be answered by using either of the statements alone.
Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone.
Mark (5) if the question cannot be answered by using any of the statements.
Q. If x, y, and z are integers, is z = 24?
I. The average of x, y, and z is 6
II. x = - y
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
  • e)
    5
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Each question is followed by two statements, I and II. Answer each que...
Using Statement I alone:
x + y + z = 6(3) = 18
However, the value of z cannot be found from this.
Thus, the question cannot be answered using statement I alone.
Using Statement II alone:
There is no data on z.
Thus, the question cannot be answered using statement II alone.
Using Statements I and II together:
X - X + z = 18
Hence, the question can be answered using both the statements together but not by using either statement alone.
Hence, option 4.
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Most Upvoted Answer
Each question is followed by two statements, I and II. Answer each que...
Understanding the Problem
We need to determine if z equals 24 given two statements about integers x, y, and z.
Statement I Analysis
- The average of x, y, and z is given as 6.
- This can be expressed mathematically as (x + y + z) / 3 = 6.
- Rearranging gives us x + y + z = 18.
- Thus, we have one equation involving x, y, and z. However, we cannot isolate z or determine its value solely from this statement without additional information about x and y.
Statement II Analysis
- The second statement states that x = -y.
- This gives us a direct relationship between x and y but does not provide any information about z.
- Therefore, we cannot determine the value of z from this statement alone.
Combining Both Statements
- If we use both statements together, we can substitute x from Statement II into the equation from Statement I.
- Since x = -y, we can rewrite the average equation as (-y + y + z) = 18, simplifying to z = 18.
- However, we need to determine if z equals 24, which requires us to analyze the implications of both statements together.
Conclusion
- While neither statement alone can determine if z = 24, combining them allows us to derive a fixed value for z (which is 18) but not directly confirm or deny the assertion of z being 24.
- Therefore, the correct answer is option D, as both statements together provide the necessary context but do not resolve the question as initially posed.
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Each question is followed by two statements, I and II. Answer each question using the following instructions:Mark (1) if the question can be answered by using statement I alone but not by using statement II alone.Mark (2) if the question can be answered by using statement II alone but not by using statement I alone.Mark (3) if the question can be answered by using either of the statements alone.Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark (5) if the question cannot be answered by using any of the statements.Q. If x, y, and z are integers, is z = 24?I. The average of x, y, and z is 6II. x = - ya)1b)2c)3d)4e)5Correct answer is option 'D'. Can you explain this answer?
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Each question is followed by two statements, I and II. Answer each question using the following instructions:Mark (1) if the question can be answered by using statement I alone but not by using statement II alone.Mark (2) if the question can be answered by using statement II alone but not by using statement I alone.Mark (3) if the question can be answered by using either of the statements alone.Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark (5) if the question cannot be answered by using any of the statements.Q. If x, y, and z are integers, is z = 24?I. The average of x, y, and z is 6II. x = - ya)1b)2c)3d)4e)5Correct answer is option 'D'. 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 Each question is followed by two statements, I and II. Answer each question using the following instructions:Mark (1) if the question can be answered by using statement I alone but not by using statement II alone.Mark (2) if the question can be answered by using statement II alone but not by using statement I alone.Mark (3) if the question can be answered by using either of the statements alone.Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark (5) if the question cannot be answered by using any of the statements.Q. If x, y, and z are integers, is z = 24?I. The average of x, y, and z is 6II. x = - ya)1b)2c)3d)4e)5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each question is followed by two statements, I and II. Answer each question using the following instructions:Mark (1) if the question can be answered by using statement I alone but not by using statement II alone.Mark (2) if the question can be answered by using statement II alone but not by using statement I alone.Mark (3) if the question can be answered by using either of the statements alone.Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark (5) if the question cannot be answered by using any of the statements.Q. If x, y, and z are integers, is z = 24?I. The average of x, y, and z is 6II. x = - ya)1b)2c)3d)4e)5Correct answer is option 'D'. Can you explain this answer?.
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