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Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.
If ab is such that a and b both are integers, then is b a multiple of 6?
(1) ab is a perfect square.
(2) ab is a perfect cube.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) 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: This problem consists of a question and two statements, l...
Individually the statements don't give us any information as to whether b is a multiple of 6 so NOT SUFFICIENT.
Combining the two statements, for any number to be a perfect square and a perfect cube, the power has to be 6 or some multiple of 6.
For example, 26 = 64 and 64 is a perfect square (82) and a perfect cube (43).
Thus, both the statements together are SUFFICIENT.
Hence, the correct option is (c).
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Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.If ab is such that a and b both are integers, then is b a multiple of 6?(1) ab is a perfect square.(2) ab is a perfect cube.a)Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) 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?
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Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.If ab is such that a and b both are integers, then is b a multiple of 6?(1) ab is a perfect square.(2) ab is a perfect cube.a)Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) 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? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.If ab is such that a and b both are integers, then is b a multiple of 6?(1) ab is a perfect square.(2) ab is a perfect cube.a)Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) 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? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: This problem consists of a question and two statements, labelled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.If ab is such that a and b both are integers, then is b a multiple of 6?(1) ab is a perfect square.(2) ab is a perfect cube.a)Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) 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?.
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