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There are 3 different positive integers. If their average (the arithmetic mean) is 8, what are their values?
1) The largest integer is twice the smallest integer.
2) One of them is 9.
1) The largest integer is twice the smallest integer.
2) One of them is 9.
- 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 'A'. Can you explain this answer?
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Most Upvoted Answer
There are 3 different positive integers. If their average (the arithme...
Analysis:
The question asks for the values of 3 positive integers whose average is 8. We are given two statements to determine the values.
Statement 1: The largest integer is twice the smallest integer.
This statement alone is not sufficient to determine the values of the integers. We could have multiple sets of integers that meet this condition and have an average of 8. For example, 4, 8, and 12 and 2, 4, and 6 both satisfy this condition but have different values.
Statement 2: One of them is 9.
This statement alone is not sufficient to determine the values of the integers. Although one integer is known to be 9, we still do not have enough information to determine the values of the other two integers.
Combining Both Statements:
When we combine both statements, we know that one integer is 9 and the largest integer is twice the smallest integer. Therefore, the integers must be 5, 9, and 13 (since 13 is twice 5). These values satisfy both conditions given in the statements.
Therefore, the correct answer is option A - Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
The question asks for the values of 3 positive integers whose average is 8. We are given two statements to determine the values.
Statement 1: The largest integer is twice the smallest integer.
This statement alone is not sufficient to determine the values of the integers. We could have multiple sets of integers that meet this condition and have an average of 8. For example, 4, 8, and 12 and 2, 4, and 6 both satisfy this condition but have different values.
Statement 2: One of them is 9.
This statement alone is not sufficient to determine the values of the integers. Although one integer is known to be 9, we still do not have enough information to determine the values of the other two integers.
Combining Both Statements:
When we combine both statements, we know that one integer is 9 and the largest integer is twice the smallest integer. Therefore, the integers must be 5, 9, and 13 (since 13 is twice 5). These values satisfy both conditions given in the statements.
Therefore, the correct answer is option A - Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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There are 3 different positive integers. If their average (the arithme...
Statement 1: The largest integer is twice the smallest integer.
This statement gives us a relationship between the largest and smallest integers, but it doesn't provide specific values. Without knowing the actual values of the integers, we cannot determine their individual values or the value of the middle integer. Therefore, statement 1 alone is not sufficient to determine the values of the integers.
This statement gives us a relationship between the largest and smallest integers, but it doesn't provide specific values. Without knowing the actual values of the integers, we cannot determine their individual values or the value of the middle integer. Therefore, statement 1 alone is not sufficient to determine the values of the integers.
Statement 2: One of them is 9.
This statement gives us the specific value of one of the integers, which is 9. However, it doesn't provide any information about the other two integers or their relationship. Therefore, statement 2 alone is not sufficient to determine the values of the integers.
This statement gives us the specific value of one of the integers, which is 9. However, it doesn't provide any information about the other two integers or their relationship. Therefore, statement 2 alone is not sufficient to determine the values of the integers.
When we consider both statements together, we can conclude the following:
- The largest integer is twice the smallest integer.
- One of the integers is 9.
From statement 2, we know that one of the integers is 9. If we consider this as the largest integer, then the smallest integer would be 9/2 = 4.5, which is not a positive integer. Therefore, the largest integer cannot be 9.
Since the integers are positive and the largest integer is twice the smallest integer, we can conclude that the smallest integer is 1, and the largest integer is 2. The middle integer is then (1 + 2 + 9)/3 = 4.
Therefore, the values of the integers are 1, 4, and 9.
The answer is option A: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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There are 3 different positive integers. If their average (the arithmetic mean) is 8, what are their values?1) The largest integer is twice the smallest integer.2) One of them is 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?
Question Description
There are 3 different positive integers. If their average (the arithmetic mean) is 8, what are their values?1) The largest integer is twice the smallest integer.2) One of them is 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. 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 There are 3 different positive integers. If their average (the arithmetic mean) is 8, what are their values?1) The largest integer is twice the smallest integer.2) One of them is 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 3 different positive integers. If their average (the arithmetic mean) is 8, what are their values?1) The largest integer is twice the smallest integer.2) One of them is 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?.
There are 3 different positive integers. If their average (the arithmetic mean) is 8, what are their values?1) The largest integer is twice the smallest integer.2) One of them is 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. 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 There are 3 different positive integers. If their average (the arithmetic mean) is 8, what are their values?1) The largest integer is twice the smallest integer.2) One of them is 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 3 different positive integers. If their average (the arithmetic mean) is 8, what are their values?1) The largest integer is twice the smallest integer.2) One of them is 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?.
Solutions for There are 3 different positive integers. If their average (the arithmetic mean) is 8, what are their values?1) The largest integer is twice the smallest integer.2) One of them is 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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There are 3 different positive integers. If their average (the arithmetic mean) is 8, what are their values?1) The largest integer is twice the smallest integer.2) One of them is 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for There are 3 different positive integers. If their average (the arithmetic mean) is 8, what are their values?1) The largest integer is twice the smallest integer.2) One of them is 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of There are 3 different positive integers. If their average (the arithmetic mean) is 8, what are their values?1) The largest integer is twice the smallest integer.2) One of them is 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice There are 3 different positive integers. If their average (the arithmetic mean) is 8, what are their values?1) The largest integer is twice the smallest integer.2) One of them is 9.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
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