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Directions: Each of 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. Is nx - n divisible by x? It is given that x and n are natural numbers.
(I) Value of n is known.
(II) Value of x is known
  • 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 'B'. Can you explain this answer?
Most Upvoted Answer
Directions: Each of the question below consists of a question and two...
Remember that nx – n is divisible by x if x is a prime number and the divisibility does not depend on the value of n.
Only statement (II) alone is sufficient to answer the question.
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Community Answer
Directions: Each of the question below consists of a question and two...
Question Analysis:
The question asks whether nx - n is divisible by x, given that x and n are natural numbers. We need to determine if the data provided in statements (I) and (II) is sufficient to answer the question.

Statement (I): Value of n is known.
This statement alone does not provide any information about the value of x or about whether nx - n is divisible by x. Therefore, it is not sufficient to answer the question.

Statement (II): Value of x is known.
This statement alone does not provide any information about the value of n or about whether nx - n is divisible by x. Therefore, it is not sufficient to answer the question.

Combined Analysis:
Combining both statements, we have the values of both n and x. However, it is still not clear whether nx - n is divisible by x without knowing the specific values of n and x.

Counterexample:
Let's consider a counterexample to demonstrate that the given information is not sufficient to answer the question.
Suppose n = 3 and x = 2. In this case, nx - n = 6 - 3 = 3, which is not divisible by x = 2.
Now, let's consider another scenario where n = 4 and x = 2. In this case, nx - n = 8 - 4 = 4, which is divisible by x = 2.

Conclusion:
Since we have found two different scenarios where the answer to the question is different, the data provided in the statements is not sufficient to answer the question. Hence, the correct answer is option 'B' - Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.
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Directions: Each of 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. Is nx - n divisible by x? It is given that x and n are natural numbers.(I) Value of n is known.(II) Value of x is knowna)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 'B'. Can you explain this answer?
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Directions: Each of 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. Is nx - n divisible by x? It is given that x and n are natural numbers.(I) Value of n is known.(II) Value of x is knowna)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 'B'. 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: Each of 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. Is nx - n divisible by x? It is given that x and n are natural numbers.(I) Value of n is known.(II) Value of x is knowna)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 'B'. 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: Each of 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. Is nx - n divisible by x? It is given that x and n are natural numbers.(I) Value of n is known.(II) Value of x is knowna)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 'B'. Can you explain this answer?.
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