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Is the positive integer 'x' divisible by 12?
(1) x is divisible by 6
(2) x is divisible by 8
(2) x is divisible by 8
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
- d)EACH statement ALONE is sufficient to answer the question asked;
- e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Is the positive integer x divisible by 12?(1) x is divisible by 6(2) x...
Evaluate Statement (1) ALONE: x is divisible by 6
Approach: Look for a counter example
Approach: Look for a counter example
Example: x = 6. It is divisible by 6. However, it is NOT divisible by 12.
Counter Example: x = 12. It is divisible by 6. It is divisible by 12 as well.
Knowing that x is divisible by 6 is not enough to answer the question.
Counter Example: x = 12. It is divisible by 6. It is divisible by 12 as well.
Knowing that x is divisible by 6 is not enough to answer the question.
If x is divisible by 6, we can infer that it is divisible by 3 and 2. But we cannot deduce whether it is also divisible by 22 - which is essential to deduce that x is divisible by 12.
Statement 1 ALONE is NOT sufficient.
Eliminate choices A and D. Choices narrow down to B, C, or E.
Eliminate choices A and D. Choices narrow down to B, C, or E.
Evaluate Statement (2) ALONE: x is divisible by 8
If x is divisible by 8, then x will definitely be divisible by 4.
However, from statement (2) alone we do not know if x is divisible by 3.
Alternative Approach: Look for a counter example
If x is divisible by 8, then x will definitely be divisible by 4.
However, from statement (2) alone we do not know if x is divisible by 3.
Alternative Approach: Look for a counter example
Example: x = 8. It is divisible by 8. However, it is NOT divisible by 12.
Counter Example: x = 24. It is divisible by 8. It is divisible by 12 as well.
Knowing that x is divisible by 8 is not enough to answer the question.
Counter Example: x = 24. It is divisible by 8. It is divisible by 12 as well.
Knowing that x is divisible by 8 is not enough to answer the question.
Statement 2 ALONE is NOT sufficient.
Eliminate choice B. Choices narrow down to C or E.
Eliminate choice B. Choices narrow down to C or E.
Evaluate Statements (1) & (2) Together: x is divisible by 6 & x is divisible by 8
From statement 1, if x is divisible by 6, it is definitely divisible by 3.
From statement 2, if x is divisible by 8, it is definitely divisible by 4.
So, by combining the two statements, we can conclude that x is divisible by 3 and by 4.
Or that x is divisible by 12.
From statement 1, if x is divisible by 6, it is definitely divisible by 3.
From statement 2, if x is divisible by 8, it is definitely divisible by 4.
So, by combining the two statements, we can conclude that x is divisible by 3 and by 4.
Or that x is divisible by 12.
Statement TOGETHER are sufficient. Choice C is the answer.
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Community Answer
Is the positive integer x divisible by 12?(1) x is divisible by 6(2) x...
Statement 1: x is divisible by 6.
Statement 2: x is divisible by 8.
To determine if x is divisible by 12, we need to check if x is divisible by both 6 and 8.
Analysis of Statement 1:
If x is divisible by 6, it means x can be written as 6k, where k is an integer. However, this does not provide any information about divisibility by 8. Therefore, statement 1 alone is not sufficient to answer the question.
Analysis of Statement 2:
If x is divisible by 8, it means x can be written as 8m, where m is an integer. However, this does not provide any information about divisibility by 6. Therefore, statement 2 alone is not sufficient to answer the question.
Combined Analysis of Statements 1 and 2:
From statement 1, we know that x is divisible by 6, so x can be written as 6k.
From statement 2, we know that x is divisible by 8, so x can be written as 8m.
To determine if x is divisible by 12, we need to find a common multiple of 6 and 8. The least common multiple of 6 and 8 is 24.
We can express x as 6k and 8m, and since 24 is a multiple of both 6 and 8, we can express x as 24n, where n is an integer.
Therefore, both statements together are sufficient to determine that x is divisible by 12.
Conclusion:
Both statements together are sufficient to answer the question, but neither statement alone is sufficient. Therefore, the correct answer is option C.
Statement 2: x is divisible by 8.
To determine if x is divisible by 12, we need to check if x is divisible by both 6 and 8.
Analysis of Statement 1:
If x is divisible by 6, it means x can be written as 6k, where k is an integer. However, this does not provide any information about divisibility by 8. Therefore, statement 1 alone is not sufficient to answer the question.
Analysis of Statement 2:
If x is divisible by 8, it means x can be written as 8m, where m is an integer. However, this does not provide any information about divisibility by 6. Therefore, statement 2 alone is not sufficient to answer the question.
Combined Analysis of Statements 1 and 2:
From statement 1, we know that x is divisible by 6, so x can be written as 6k.
From statement 2, we know that x is divisible by 8, so x can be written as 8m.
To determine if x is divisible by 12, we need to find a common multiple of 6 and 8. The least common multiple of 6 and 8 is 24.
We can express x as 6k and 8m, and since 24 is a multiple of both 6 and 8, we can express x as 24n, where n is an integer.
Therefore, both statements together are sufficient to determine that x is divisible by 12.
Conclusion:
Both statements together are sufficient to answer the question, but neither statement alone is sufficient. Therefore, the correct answer is option C.
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Is the positive integer x divisible by 12?(1) x is divisible by 6(2) x is divisible by 8a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'C'. Can you explain this answer?
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Is the positive integer x divisible by 12?(1) x is divisible by 6(2) x is divisible by 8a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Is the positive integer x divisible by 12?(1) x is divisible by 6(2) x is divisible by 8a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is the positive integer x divisible by 12?(1) x is divisible by 6(2) x is divisible by 8a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'C'. Can you explain this answer?.
Is the positive integer x divisible by 12?(1) x is divisible by 6(2) x is divisible by 8a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Is the positive integer x divisible by 12?(1) x is divisible by 6(2) x is divisible by 8a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is the positive integer x divisible by 12?(1) x is divisible by 6(2) x is divisible by 8a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'C'. Can you explain this answer?.
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ample number of questions to practice Is the positive integer x divisible by 12?(1) x is divisible by 6(2) x is divisible by 8a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
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