GMAT Exam  >  GMAT Questions  >  If k is a positive integer, then k@ is define... Start Learning for Free
If k is a positive integer, then k@ is defined as the product of all the fractions of the form 1/S, where S is a positive integer not greater than k. What is the value of 5@/4@?
  • a)
    1/5
  • b)
    4/5
  • c)
    1
  • d)
    5/4
  • e)
    5
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If k is a positive integer, then k@ is defined as the product of all t...
To find the value of 5@/4@, we need to evaluate the expressions 5@ and 4@ separately.
Let's start with 5@. According to the given definition, 5@ is the product of all fractions of the form 1/S, where S is a positive integer not greater than 5:
5@ = (1/1) * (1/2) * (1/3) * (1/4) * (1/5)
Simplifying the expression:
5@ = 1/ (1 * 2 * 3 * 4 * 5) = 1/120
Now let's calculate 4@:
4@ = (1/1) * (1/2) * (1/3) * (1/4)
Simplifying the expression:
4@ = 1/ (1 * 2 * 3 * 4) = 1/24
Finally, we can find the value of 5@/4@:
(5@) / (4@) = (1/120) / (1/24) = (1/120) * (24/1) = 24/120 = 1/5
Therefore, the value of 5@/4@ is 1/5. Hence, the correct answer is A.
Explore Courses for GMAT exam

Top Courses for GMAT

If k is a positive integer, then k@ is defined as the product of all the fractions of the form 1/S, where S is a positive integer not greater than k. What is the value of 5@/4@?a)1/5b)4/5c)1d)5/4e)5Correct answer is option 'A'. Can you explain this answer?
Question Description
If k is a positive integer, then k@ is defined as the product of all the fractions of the form 1/S, where S is a positive integer not greater than k. What is the value of 5@/4@?a)1/5b)4/5c)1d)5/4e)5Correct answer is option 'A'. 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 If k is a positive integer, then k@ is defined as the product of all the fractions of the form 1/S, where S is a positive integer not greater than k. What is the value of 5@/4@?a)1/5b)4/5c)1d)5/4e)5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If k is a positive integer, then k@ is defined as the product of all the fractions of the form 1/S, where S is a positive integer not greater than k. What is the value of 5@/4@?a)1/5b)4/5c)1d)5/4e)5Correct answer is option 'A'. Can you explain this answer?.
Solutions for If k is a positive integer, then k@ is defined as the product of all the fractions of the form 1/S, where S is a positive integer not greater than k. What is the value of 5@/4@?a)1/5b)4/5c)1d)5/4e)5Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of If k is a positive integer, then k@ is defined as the product of all the fractions of the form 1/S, where S is a positive integer not greater than k. What is the value of 5@/4@?a)1/5b)4/5c)1d)5/4e)5Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If k is a positive integer, then k@ is defined as the product of all the fractions of the form 1/S, where S is a positive integer not greater than k. What is the value of 5@/4@?a)1/5b)4/5c)1d)5/4e)5Correct answer is option 'A'. Can you explain this answer?, a detailed solution for If k is a positive integer, then k@ is defined as the product of all the fractions of the form 1/S, where S is a positive integer not greater than k. What is the value of 5@/4@?a)1/5b)4/5c)1d)5/4e)5Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of If k is a positive integer, then k@ is defined as the product of all the fractions of the form 1/S, where S is a positive integer not greater than k. What is the value of 5@/4@?a)1/5b)4/5c)1d)5/4e)5Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If k is a positive integer, then k@ is defined as the product of all the fractions of the form 1/S, where S is a positive integer not greater than k. What is the value of 5@/4@?a)1/5b)4/5c)1d)5/4e)5Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev