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The average (arithmetic mean) of five consecutive integers is an odd number. Which of the following must be true?
I. The largest of the integers is even.
II. The sum of the integers is odd.
III. The difference between the largest and smallest of the integers is an even number.
  • a)
    I only
  • b)
    II only
  • c)
    III only
  • d)
    I and II
  • e)
    II and III
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
The average (arithmetic mean) of five consecutive integers is an odd n...
Since we are talking about consecutive integers, what is good for one set should be good for every set of consecutive integers. Let's take 1,2,3,4,5.
I. The largest of the integers is even. (Incorrect)
II. The sum of the integers is odd. (Correct)
III. The difference between the largest and smallest of the integers is an even number. (Correct)
Since II and III are correct, answer should be E.
This can be solved mathematically be considering a series of integers n-2, n-1, n, n+1, n+2
Since the average of an odd number of consecutive terms is the middle number, n must be odd.
I. The largest of the integers is even. (incorrect)
II. The sum of the integers is odd. (Sum of integers is 5n; odd integer * odd integer = odd integer, therefore correct)
III. The difference between the largest and smallest of the integers is an even number. (difference between largest and smallest number will be 4. therefore, correct)
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Most Upvoted Answer
The average (arithmetic mean) of five consecutive integers is an odd n...
Since we are talking about consecutive integers, what is good for one set should be good for every set of consecutive integers. Let's take 1,2,3,4,5.
I. The largest of the integers is even. (Incorrect)
II. The sum of the integers is odd. (Correct)
III. The difference between the largest and smallest of the integers is an even number. (Correct)
Since II and III are correct, answer should be E.
This can be solved mathematically be considering a series of integers n-2, n-1, n, n+1, n+2
Since the average of an odd number of consecutive terms is the middle number, n must be odd.
I. The largest of the integers is even. (incorrect)
II. The sum of the integers is odd. (Sum of integers is 5n; odd integer * odd integer = odd integer, therefore correct)
III. The difference between the largest and smallest of the integers is an even number. (difference between largest and smallest number will be 4. therefore, correct)
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The average (arithmetic mean) of five consecutive integers is an odd number. Which of the following must be true?I. The largest of the integers is even.II. The sum of the integers is odd.III. The difference between the largest and smallest of the integers is an even number.a)I onlyb)II onlyc)III onlyd)I and IIe)II and IIICorrect answer is option 'E'. Can you explain this answer?
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The average (arithmetic mean) of five consecutive integers is an odd number. Which of the following must be true?I. The largest of the integers is even.II. The sum of the integers is odd.III. The difference between the largest and smallest of the integers is an even number.a)I onlyb)II onlyc)III onlyd)I and IIe)II and IIICorrect answer is option 'E'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The average (arithmetic mean) of five consecutive integers is an odd number. Which of the following must be true?I. The largest of the integers is even.II. The sum of the integers is odd.III. The difference between the largest and smallest of the integers is an even number.a)I onlyb)II onlyc)III onlyd)I and IIe)II and IIICorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average (arithmetic mean) of five consecutive integers is an odd number. Which of the following must be true?I. The largest of the integers is even.II. The sum of the integers is odd.III. The difference between the largest and smallest of the integers is an even number.a)I onlyb)II onlyc)III onlyd)I and IIe)II and IIICorrect answer is option 'E'. Can you explain this answer?.
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