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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.
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?
Verified Answer
Directions: Answer the questions on the basis of the information given...
Each multi-colour LED has five different states i.e., OFF, Green, Blue, Yellow, and Red. With 1-visit the button connected to five multi-colour LEDs can be determined by pressing it a different number of times as follows,
Note:- By pressing the button 5th time the state of LED is OFF
By pressing the button 6th time the state of LED is Green which is same as 1st state
Similarly by pressing 7th/12th/17th time the LED will glow Blue, which is unnecessary as you have to find the least number of visits to identify X number of LEDs which is discussed later.
With 2-visit the button connected to twenty-five multi-colour LEDs can be determined by pressing it a different number of times as follows
Similarly, for any number of multi-colour LEDs X, the minimum number of visits required is n, where 5n ≥ X ≥ 5n-1.
The number of visits required for 1000 multi-colour LEDs is 5, as 55 ≥ 1000 ≥ 54.
Answer : 5
Note:- By pressing the button 5th time the state of LED is OFF
By pressing the button 6th time the state of LED is Green which is same as 1st state
Similarly by pressing 7th/12th/17th time the LED will glow Blue, which is unnecessary as you have to find the least number of visits to identify X number of LEDs which is discussed later.
With 2-visit the button connected to twenty-five multi-colour LEDs can be determined by pressing it a different number of times as follows
Similarly, for any number of multi-colour LEDs X, the minimum number of visits required is n, where 5n ≥ X ≥ 5n-1.
The number of visits required for 1000 multi-colour LEDs is 5, as 55 ≥ 1000 ≥ 54.
Answer : 5
Most Upvoted Answer
Directions: Answer the questions on the basis of the information given...
Understanding the Problem
The game show involves 1000 multi-colour LEDs, each controlled by a button. Each LED cycles through five states (OFF, Green, Blue, Yellow, Red) based on how many times the corresponding button is pressed. The goal is to minimize visits to the room with the LEDs while determining the button associated with each LED.
Initial Observations
- Each LED starts OFF.
- The button presses change the LED's state in a fixed cycle:
- 1st press: Green
- 2nd press: Blue
- 3rd press: Yellow
- 4th press: Red
- 5th press: OFF (reset)
Strategy to Minimize Visits
1. Single Visit for Pressing Buttons
In the first visit, Avinash can press all buttons from 1 to 5 for each LED:
- Press all buttons 1 time (resulting in all LEDs glowing Green).
2. Observing the Status
After this first visit, he notes the status of all LEDs. This gives him information about which LEDs are Green.
3. Second Visit for Further Presses
On the second visit, he presses all buttons a second time:
- Now, LEDs glowing Green will turn Blue. He checks again.
4. Third Visit for More Presses
In the third visit, he presses all buttons a third time:
- LEDs that were Blue will turn Yellow. He checks their status.
5. Fourth Visit for Final Presses
In the fourth visit, he presses all buttons a fourth time:
- LEDs that were Yellow will turn Red. Again, he checks.
6. Fifth Visit for Confirmation
The fifth and final visit serves as a confirmation after all buttons have been pressed the maximum number of times.
Conclusion
By following this systematic approach, he can identify each LED's corresponding button with a total of 5 visits, ensuring he minimizes the number of visits while maximizing information gained from each.
The game show involves 1000 multi-colour LEDs, each controlled by a button. Each LED cycles through five states (OFF, Green, Blue, Yellow, Red) based on how many times the corresponding button is pressed. The goal is to minimize visits to the room with the LEDs while determining the button associated with each LED.
Initial Observations
- Each LED starts OFF.
- The button presses change the LED's state in a fixed cycle:
- 1st press: Green
- 2nd press: Blue
- 3rd press: Yellow
- 4th press: Red
- 5th press: OFF (reset)
Strategy to Minimize Visits
1. Single Visit for Pressing Buttons
In the first visit, Avinash can press all buttons from 1 to 5 for each LED:
- Press all buttons 1 time (resulting in all LEDs glowing Green).
2. Observing the Status
After this first visit, he notes the status of all LEDs. This gives him information about which LEDs are Green.
3. Second Visit for Further Presses
On the second visit, he presses all buttons a second time:
- Now, LEDs glowing Green will turn Blue. He checks again.
4. Third Visit for More Presses
In the third visit, he presses all buttons a third time:
- LEDs that were Blue will turn Yellow. He checks their status.
5. Fourth Visit for Final Presses
In the fourth visit, he presses all buttons a fourth time:
- LEDs that were Yellow will turn Red. Again, he checks.
6. Fifth Visit for Confirmation
The fifth and final visit serves as a confirmation after all buttons have been pressed the maximum number of times.
Conclusion
By following this systematic approach, he can identify each LED's corresponding button with a total of 5 visits, ensuring he minimizes the number of visits while maximizing information gained from each.
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Directions: Answer the questions on the basis of the information given...
Each multi-colour LED has five different states i.e., OFF, Green, Blue, Yellow, and Red. With 1-visit the button connected to five multi-colour LEDs can be determined by pressing it a different number of times as follows,
Note:- By pressing the button 5th time the state of LED is OFF
By pressing the button 6th time the state of LED is Green which is same as 1st state
Similarly by pressing 7th/12th/17th time the LED will glow Blue, which is unnecessary as you have to find the least number of visits to identify X number of LEDs which is discussed later.
With 2-visit the button connected to twenty-five multi-colour LEDs can be determined by pressing it a different number of times as follows
Similarly, for any number of multi-colour LEDs X, the minimum number of visits required is n, where 5n ≥ X ≥ 5n-1.
The number of visits required for 1000 multi-colour LEDs is 5, as 55 ≥ 1000 ≥ 54.
Answer : 5
Note:- By pressing the button 5th time the state of LED is OFF
By pressing the button 6th time the state of LED is Green which is same as 1st state
Similarly by pressing 7th/12th/17th time the LED will glow Blue, which is unnecessary as you have to find the least number of visits to identify X number of LEDs which is discussed later.
With 2-visit the button connected to twenty-five multi-colour LEDs can be determined by pressing it a different number of times as follows
Similarly, for any number of multi-colour LEDs X, the minimum number of visits required is n, where 5n ≥ X ≥ 5n-1.
The number of visits required for 1000 multi-colour LEDs is 5, as 55 ≥ 1000 ≥ 54.
Answer : 5
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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?
Question Description
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? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
Solutions for 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? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution for 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice CAT tests.
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