If f(n) = log2 3 andtimes; log3 4 andtimes; log4 5 andhellip;.. logn andndash; 1 n, then the value ofisa)46b)48c)50d)54Correct answer is option 'D'. Can you explain this answer?

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CAT Exam > CAT Questions > If f(n) = log2 3 × log3 4 × log4 ...

If f(n) = log₂ 3 × log₃ 4 × log₄ 5 ….. logn – 1 n, then the value of

a)
46
b)
48
c)
50
d)
54

Correct answer is option 'D'. Can you explain this answer?

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Directions: Answer the questions on the basis of the information given below.In a game show, there are X number of multi–colour LEDs each of which can be operated by the pressing of a different button that is connected to each of the LEDs . If a multi–colour LED is initially OFF, pressing the button connected to the multi–colour LED once will make the multi–colour LED glow Green. Pressing it two times makes the multi–colour LED glow Blue. Pressing the button three times the same multi–colour LED glow Yellow. Pressing the same button four times the multi–colour LED will glow Red. While pressing it a fifth time the multi–colour LED will be switched OFF. In the same way, the cycle repeats itself or any number of buttons presses from the sixth time onwards.The X multi–colour LEDs are all in one room and none is visible from outside this room. The buttons connected to these X multi–colour LEDs are all in a different room. Avinash, a participant in the game show, was asked to operate the buttons and try to figure out the respective button connected to each multi–colour LED. Every time he enters the room in which the multi–colour LEDs are present and checks the status of the multi–colour LEDs, it is counted as one visit. The objective of the game is to minimize his number of visits. It is known that all the multi–colour LEDs are initially OFF.Select the correct alternative from the given choices.Due to a malfunction in the same setup every time a multi–colour LED is supposed to be glowing (i.e., not off), it does not necessarily glow in the colour that is supposed to glow in as per the description above. The Multi–colour LED glowsin the four possible colours randomly. However, every fifth time the button is praised the multi–colour LED turns OFF just as it is supposed to. Avinash was informed about this malfunction and was asked to figure out the respective buttons connected to each multi–colour LED.Q. If X = 31 what is the minimum number of visits required?

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log24×log48×log816×………… nth term = 49, what is the value of n?

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Directions: Answer the questions on the basis of the information given below.In a game show, there are X number of multi–colour LEDs each of which can be operated by the pressing of a different button that is connected to each of the LEDs . If a multi–colour LED is initially OFF, pressing the button connected to the multi–colour LED once will make the multi–colour LED glow Green. Pressing it two times makes the multi–colour LED glow Blue. Pressing the button three times the same multi–colour LED glow Yellow. Pressing the same button four times the multi–colour LED will glow Red. While pressing it a fifth time the multi–colour LED will be switched OFF. In the same way, the cycle repeats itself or any number of buttons presses from the sixth time onwards.The X multi–colour LEDs are all in one room and none is visible from outside this room. The buttons connected to these X multi–colour LEDs are all in a different room. Avinash, a participant in the game show, was asked to operate the buttons and try to figure out the respective button connected to each multi–colour LED. Every time he enters the room in which the multi–colour LEDs are present and checks the status of the multi–colour LEDs, it is counted as one visit. The objective of the game is to minimize his number of visits. It is known that all the multi–colour LEDs are initially OFF.Q.If X is a multiple of 49 and Avinash was able to determine the button connected to each multi–colour LED in 5 visits, what is the maximum possible value of X? Correct answer is '3087'. Can you explain this answer?

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Directions: Answer the questions on the basis of the information given below.In a game show, there are X number of multi–colour LEDs each of which can be operated by the pressing of a different button that is connected to each of the LEDs . If a multi–colour LED is initially OFF, pressing the button connected to the multi–colour LED once will make the multi–colour LED glow Green. Pressing it two times makes the multi–colour LED glow Blue. Pressing the button three times the same multi–colour LED glow Yellow. Pressing the same button four times the multi–colour LED will glow Red. While pressing it a fifth time the multi–colour LED will be switched OFF. In the same way, the cycle repeats itself or any number of buttons presses from the sixth time onwards.The X multi–colour LEDs are all in one room and none is visible from outside this room. The buttons connected to these X multi–colour LEDs are all in a different room. Avinash, a participant in the game show, was asked to operate the buttons and try to figure out the respective button connected to each multi–colour LED. Every time he enters the room in which the multi–colour LEDs are present and checks the status of the multi–colour LEDs, it is counted as one visit. The objective of the game is to minimize his number of visits. It is known that all the multi–colour LEDs are initially OFF.Q.If X= 1000 what is the minimum number of visits required? Correct answer is '5'. Can you explain this answer?

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If f(n) = log2 3 × log3 4 × log4 5 ….. logn – 1 n, then the value ofisa)46b)48c)50d)54Correct answer is option 'D'. Can you explain this answer?

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If f(n) = log2 3 × log3 4 × log4 5 ….. logn – 1 n, then the value ofisa)46b)48c)50d)54Correct answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If f(n) = log2 3 × log3 4 × log4 5 ….. logn – 1 n, then the value ofisa)46b)48c)50d)54Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If f(n) = log2 3 × log3 4 × log4 5 ….. logn – 1 n, then the value ofisa)46b)48c)50d)54Correct answer is option 'D'. Can you explain this answer?.

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