Quant Exam > Quant Questions > Let F(x) be a function such that F(x) F(x + 1...
Start Learning for Free
Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(102) equals to
- a)27
- b)54
- c)729
- d)Data Insufficient
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1...
Solution:
Given, F(x) F(x 1) = F(x 1)F(x2)F(x3)F(x4) for all x 0.
We need to find the value of F(102).
Let's try to simplify the given equation by substituting x = 77, 78, 79...82.
F(77) F(78) = F(78) F(79) F(80) F(81)
F(78) F(79) = F(79) F(80) F(81) F(82)
F(79) F(80) = F(80) F(81) F(82) F(83)
Now, we can cancel the common terms from the above equations.
F(77) = F(82) F(81) F(80)
F(78) = F(83) F(82) F(81)
Substituting the given values of F(77) and F(83), we get:
9 = F(82) x 81 x F(80)
81 = F(83) x F(82) x 81
Dividing the above two equations, we get:
F(82) x F(80) = 9
Hence, we can write:
F(77) = 9 x F(81)
F(78) = 81 x F(81)
Again, substituting the given values of F(77) and F(83), we get:
9 x F(81) = F(82) x 81 x F(80)
F(82) x F(80) = 9
Therefore, we can write:
F(81) x F(82) x F(80) = 81
F(81) x 9 = 81
F(81) = 9
Now, substituting F(81) in the equation F(78) = 81 x F(81), we get:
F(78) = 729
Finally, substituting F(78) and F(81) in the equation F(77) = 9 x F(81), we get:
F(77) = 81
Hence, we can conclude that the given data is insufficient to find the value of F(102).
Given, F(x) F(x 1) = F(x 1)F(x2)F(x3)F(x4) for all x 0.
We need to find the value of F(102).
Let's try to simplify the given equation by substituting x = 77, 78, 79...82.
F(77) F(78) = F(78) F(79) F(80) F(81)
F(78) F(79) = F(79) F(80) F(81) F(82)
F(79) F(80) = F(80) F(81) F(82) F(83)
Now, we can cancel the common terms from the above equations.
F(77) = F(82) F(81) F(80)
F(78) = F(83) F(82) F(81)
Substituting the given values of F(77) and F(83), we get:
9 = F(82) x 81 x F(80)
81 = F(83) x F(82) x 81
Dividing the above two equations, we get:
F(82) x F(80) = 9
Hence, we can write:
F(77) = 9 x F(81)
F(78) = 81 x F(81)
Again, substituting the given values of F(77) and F(83), we get:
9 x F(81) = F(82) x 81 x F(80)
F(82) x F(80) = 9
Therefore, we can write:
F(81) x F(82) x F(80) = 81
F(81) x 9 = 81
F(81) = 9
Now, substituting F(81) in the equation F(78) = 81 x F(81), we get:
F(78) = 729
Finally, substituting F(78) and F(81) in the equation F(77) = 9 x F(81), we get:
F(77) = 81
Hence, we can conclude that the given data is insufficient to find the value of F(102).
Community Answer
Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1...
54
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(102) equals toa)27b)54c)729d)Data InsufficientCorrect answer is option 'A'. Can you explain this answer?
Question Description
Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(102) equals toa)27b)54c)729d)Data InsufficientCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(102) equals toa)27b)54c)729d)Data InsufficientCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(102) equals toa)27b)54c)729d)Data InsufficientCorrect answer is option 'A'. Can you explain this answer?.
Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(102) equals toa)27b)54c)729d)Data InsufficientCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(102) equals toa)27b)54c)729d)Data InsufficientCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(102) equals toa)27b)54c)729d)Data InsufficientCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(102) equals toa)27b)54c)729d)Data InsufficientCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(102) equals toa)27b)54c)729d)Data InsufficientCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(102) equals toa)27b)54c)729d)Data InsufficientCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(102) equals toa)27b)54c)729d)Data InsufficientCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(102) equals toa)27b)54c)729d)Data InsufficientCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(102) equals toa)27b)54c)729d)Data InsufficientCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup