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What is the number of multiples of 4 in 5 consecutive integers?
1) The median of them is 4
2) The average (arithmetic mean) of them is a multiple of 4
1) The median of them is 4
2) The average (arithmetic mean) of them is a multiple of 4
- 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 'D'. Can you explain this answer?
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What is the number of multiples of 4 in 5 consecutive integers?1) The ...
To determine the number of multiples of 4 in 5 consecutive integers, let's analyze each statement:
Statement (1) tells us that the median of the five consecutive integers is 4. Since there are five integers, the middle number must be 4. Let's assume the five consecutive integers are x, x+1, x+2, x+3, and x+4. Since 4 is the median, we have (x+2) = 4, which implies x = 2. Therefore, the five consecutive integers are 2, 3, 4, 5, and 6. Among these, there is only one multiple of 4, which is 4 itself. Hence, statement (1) alone is sufficient to answer the question.
Statement (2) tells us that the average (arithmetic mean) of the five consecutive integers is a multiple of 4. Let's assume the five consecutive integers are a, b, c, d, and e. We can express the average as (a+b+c+d+e)/5. If this average is a multiple of 4, it means that the sum a+b+c+d+e must be divisible by 4. However, statement (2) does not provide any specific values for a, b, c, d, and e, or their relationships, so we cannot determine the number of multiples of 4. Hence, statement (2) alone is not sufficient to answer the question.
When we consider both statements together, we know that the median is 4 (statement 1) and the average is a multiple of 4 (statement 2). From statement 1, we can determine that the five consecutive integers are 2, 3, 4, 5, and 6. From statement 2, we know that the sum of these integers is a multiple of 4. The sum is 2+3+4+5+6 = 20, which is divisible by 4. Therefore, the number of multiples of 4 in these five consecutive integers is 1.
Thus, each statement alone is sufficient to answer the question. The answer is D: EACH statement ALONE is sufficient to answer the question asked.
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What is the number of multiples of 4 in 5 consecutive integers?1) The median of them is 42) The average (arithmetic mean) of them is a multiple of 4a)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 'D'. Can you explain this answer?
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What is the number of multiples of 4 in 5 consecutive integers?1) The median of them is 42) The average (arithmetic mean) of them is a multiple of 4a)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 'D'. 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 What is the number of multiples of 4 in 5 consecutive integers?1) The median of them is 42) The average (arithmetic mean) of them is a multiple of 4a)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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the number of multiples of 4 in 5 consecutive integers?1) The median of them is 42) The average (arithmetic mean) of them is a multiple of 4a)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 'D'. Can you explain this answer?.
What is the number of multiples of 4 in 5 consecutive integers?1) The median of them is 42) The average (arithmetic mean) of them is a multiple of 4a)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 'D'. 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 What is the number of multiples of 4 in 5 consecutive integers?1) The median of them is 42) The average (arithmetic mean) of them is a multiple of 4a)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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the number of multiples of 4 in 5 consecutive integers?1) The median of them is 42) The average (arithmetic mean) of them is a multiple of 4a)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 'D'. Can you explain this answer?.
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