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If k is a positive integer, then k@ is defined as the product of all t
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14 Jul 2022, 13:24
14 Jul 2022, 13:24
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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
A. 1/5
B. 4/5
C. 1
D. 5/4
E. 5
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Joined: 10 Apr 2015
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Re: If k is a positive integer, then k@ is defined as the product of all t
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14 Jul 2022, 15:26
14 Jul 2022, 15:26
1
Carcass wrote:
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
A. 1/5
B. 4/5
C. 1
D. 5/4
E. 5
5@/4@ = (1/1)(1/2)(1/3)(1/4)(1/5)/(1/1)(1/2)(1/3)(1/4)
= 1/5
Answer: A
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If k is a positive integer, then k@ is defined as the product of all t
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21 Aug 2022, 10:15
21 Aug 2022, 10:15
Given that 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 and we need to find the value of 5@/4@
Lets start by finding the value of 5@
5@ = the product of all the fractions of the form 1/S, where S is a positive integer not greater than 5. => 1 ≤ S ≤ 5
=> 5@ = \(\frac{1}{1} * \frac{1}{2} * \frac{1}{3} * \frac{1}{4} * \frac{1}{5}\)
Similarly, 4@ = \(\frac{1}{1} * \frac{1}{2} * \frac{1}{3} * \frac{1}{4}\)
=> 5@/4@ = (\(\frac{1}{1} * \frac{1}{2} * \frac{1}{3} * \frac{1}{4} * \frac{1}{5}\)) / (\(\frac{1}{1} * \frac{1}{2} * \frac{1}{3} * \frac{1}{4}\))
All terms will cancel out except \(\frac{1}{5}\)
So, Answer will be A
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
Lets start by finding the value of 5@
5@ = the product of all the fractions of the form 1/S, where S is a positive integer not greater than 5. => 1 ≤ S ≤ 5
=> 5@ = \(\frac{1}{1} * \frac{1}{2} * \frac{1}{3} * \frac{1}{4} * \frac{1}{5}\)
Similarly, 4@ = \(\frac{1}{1} * \frac{1}{2} * \frac{1}{3} * \frac{1}{4}\)
=> 5@/4@ = (\(\frac{1}{1} * \frac{1}{2} * \frac{1}{3} * \frac{1}{4} * \frac{1}{5}\)) / (\(\frac{1}{1} * \frac{1}{2} * \frac{1}{3} * \frac{1}{4}\))
All terms will cancel out except \(\frac{1}{5}\)
So, Answer will be A
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
