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Direction: Each of the question below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.
Q. What is value of p3 - q3.
(1) p6 – q6 = 0
(2) q = 0
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- b)Statement (2) ALONE is sufficient, but statement (I) alone is not sufficient.
- c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
- d)Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Direction: Each of the question below consists of a question and two ...
(1) → p6 – q6 = 0
→ (p3 – q3) (p3 + q3) = 0
(2) → p = 0
Since the value of (p3 + q3) is not given. So, we cannot be determined the answer even using both the statements.
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Direction: Each of the question below consists of a question and two ...
Understanding the Problem
The question asks for the value of p3 - q3, and we have two statements to evaluate.
Statement Analysis
Statement (1): p6 – q6 = 0
- This implies that p6 = q6.
- From this equation, we can deduce that either p = q or p = -q.
- However, without knowing the specific values of p or q, we cannot determine p3 - q3. Thus, this statement alone is insufficient.
Statement (2): q = 0
- If q = 0, we can substitute this into the expression p3 - q3.
- This gives us p3 - 0 = p3.
- However, we still do not have any information about the value of p. Thus, this statement alone is also insufficient.
Combining Statements (1) and (2)
- When we combine both statements, we have p6 - q6 = 0 and q = 0.
- Substituting q = 0 into the first equation gives us p6 - 0 = 0, leading to p6 = 0.
- Consequently, this means p = 0.
- Therefore, we can find p3 - q3 = 0 - 0 = 0.
However, the question asks if the statements together are sufficient to answer the question. Since we derived the answer from both statements combined, it may seem sufficient at first glance. Nevertheless, it's essential to recognize that the problem asks if either statement alone could lead to a conclusion, which they cannot.
Conclusion
- Both statements provide partial information but do not lead to a definitive answer when considered individually.
- Hence, the correct answer is option 'D': Statements (1) and (2) together are not sufficient.
The question asks for the value of p3 - q3, and we have two statements to evaluate.
Statement Analysis
Statement (1): p6 – q6 = 0
- This implies that p6 = q6.
- From this equation, we can deduce that either p = q or p = -q.
- However, without knowing the specific values of p or q, we cannot determine p3 - q3. Thus, this statement alone is insufficient.
Statement (2): q = 0
- If q = 0, we can substitute this into the expression p3 - q3.
- This gives us p3 - 0 = p3.
- However, we still do not have any information about the value of p. Thus, this statement alone is also insufficient.
Combining Statements (1) and (2)
- When we combine both statements, we have p6 - q6 = 0 and q = 0.
- Substituting q = 0 into the first equation gives us p6 - 0 = 0, leading to p6 = 0.
- Consequently, this means p = 0.
- Therefore, we can find p3 - q3 = 0 - 0 = 0.
However, the question asks if the statements together are sufficient to answer the question. Since we derived the answer from both statements combined, it may seem sufficient at first glance. Nevertheless, it's essential to recognize that the problem asks if either statement alone could lead to a conclusion, which they cannot.
Conclusion
- Both statements provide partial information but do not lead to a definitive answer when considered individually.
- Hence, the correct answer is option 'D': Statements (1) and (2) together are not sufficient.
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Direction: Each of the question below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is value of p3 - q3.(1) p6 – q6 = 0(2) q = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.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 Direction: Each of the question below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is value of p3 - q3.(1) p6 – q6 = 0(2) q = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.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 Direction: Each of the question below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is value of p3 - q3.(1) p6 – q6 = 0(2) q = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?.
Direction: Each of the question below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is value of p3 - q3.(1) p6 – q6 = 0(2) q = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.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 Direction: Each of the question below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is value of p3 - q3.(1) p6 – q6 = 0(2) q = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.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 Direction: Each of the question below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is value of p3 - q3.(1) p6 – q6 = 0(2) q = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Direction: Each of the question below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is value of p3 - q3.(1) p6 – q6 = 0(2) q = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Direction: Each of the question below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is value of p3 - q3.(1) p6 – q6 = 0(2) q = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Direction: Each of the question below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is value of p3 - q3.(1) p6 – q6 = 0(2) q = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Direction: Each of the question below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is value of p3 - q3.(1) p6 – q6 = 0(2) q = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Direction: Each of the question below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. What is value of p3 - q3.(1) p6 – q6 = 0(2) q = 0a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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