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For a positive integer n, the function @n represents the product of all even numbers that lie between n and 2n, exclusive. For
example, @6 = 8*10. If k is a positive integer and the greates  prime factor of @k is 17, which of the following cannot be the
value of k?
I. 9
II. 18
III. 32
  • a)
    I only
  • b)
    II only
  • c)
    III only
  • d)
    I and III only
  • e)
    II and III only
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
For a positive integer n, the function @n represents the product of al...
Given:
  • A positive integer k
  • @k = Product of all even integers between k and 2k, exclusive
  • The greatest Prime factor of @k = 17
To Find: Which of the given 3 values doesn’t satisfy the given information about k
Approach:
  1. We will find out the expression for @k for each of the 3 given values
  2. We’ll determine the prime factors of @k to check if 17 is the greatest
prime factor:
a. If the answer is YES, then that value of k is possible
b. If the answer is NO, then that value of k is not possible
Working out:
Looking at the answer choices, we see that the correct answer is Option D From the table, it’s clear that out of the 3 given values, Options I and III (9 and 32) are not possible (Remember that the question is asking which values are not possible)
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For a positive integer n, the function @n represents the product of all even numbers that lie between n and 2n, exclusive. Forexample, @6 = 8*10. If k is a positive integer and the greates prime factor of @k is 17, which of the following cannot be thevalue of k?I. 9II. 18III. 32a)I onlyb)II onlyc)III onlyd)I and III onlye)II and III onlyCorrect answer is option 'D'. Can you explain this answer?
Question Description
For a positive integer n, the function @n represents the product of all even numbers that lie between n and 2n, exclusive. Forexample, @6 = 8*10. If k is a positive integer and the greates prime factor of @k is 17, which of the following cannot be thevalue of k?I. 9II. 18III. 32a)I onlyb)II onlyc)III onlyd)I and III onlye)II and III onlyCorrect 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 For a positive integer n, the function @n represents the product of all even numbers that lie between n and 2n, exclusive. Forexample, @6 = 8*10. If k is a positive integer and the greates prime factor of @k is 17, which of the following cannot be thevalue of k?I. 9II. 18III. 32a)I onlyb)II onlyc)III onlyd)I and III onlye)II and III onlyCorrect 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 For a positive integer n, the function @n represents the product of all even numbers that lie between n and 2n, exclusive. Forexample, @6 = 8*10. If k is a positive integer and the greates prime factor of @k is 17, which of the following cannot be thevalue of k?I. 9II. 18III. 32a)I onlyb)II onlyc)III onlyd)I and III onlye)II and III onlyCorrect answer is option 'D'. Can you explain this answer?.
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