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Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct?
- a)The number of red lights is equal to the number of blue lights
- b)The number of green lights is equal to the number of yellow lights
- c)The sum of the red and green lights is equal to the sum of the yellow and blue lights
- d)The sum of the red and blue lights is equal to the sum of the green and yellow lights
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Lights of four colors (red, blue, green, yellow) are hung on a ladder....
Analysis:
To solve this problem, let's consider the possible combinations of lights on each step of the ladder.
Possible combinations:
1. Red and Blue
2. Blue and Red
3. Green and Yellow
4. Yellow and Green
a) The number of red lights is equal to the number of blue lights:
In all possible combinations, the number of red lights will always be equal to the number of blue lights. Therefore, this statement is necessarily correct.
b) The number of green lights is equal to the number of yellow lights:
In all possible combinations, the number of green lights will always be equal to the number of yellow lights. Therefore, this statement is necessarily correct.
c) The sum of the red and green lights is equal to the sum of the yellow and blue lights:
Let's consider the possible cases:
1. Red and Blue on a step: In this case, the sum of red and green lights is 1, and the sum of yellow and blue lights is 1. The statement holds true.
2. Green and Yellow on a step: In this case, the sum of red and green lights is 1, and the sum of yellow and blue lights is 1. The statement holds true.
d) The sum of the red and blue lights is equal to the sum of the green and yellow lights:
Let's consider the possible cases:
1. Red and Blue on a step: In this case, the sum of red and blue lights is 2, and the sum of green and yellow lights is 0. The statement does not hold true.
2. Green and Yellow on a step: In this case, the sum of red and blue lights is 0, and the sum of green and yellow lights is 2. The statement does not hold true.
Therefore, the statement "d) The sum of the red and blue lights is equal to the sum of the green and yellow lights" is not necessarily correct.
To solve this problem, let's consider the possible combinations of lights on each step of the ladder.
Possible combinations:
1. Red and Blue
2. Blue and Red
3. Green and Yellow
4. Yellow and Green
a) The number of red lights is equal to the number of blue lights:
In all possible combinations, the number of red lights will always be equal to the number of blue lights. Therefore, this statement is necessarily correct.
b) The number of green lights is equal to the number of yellow lights:
In all possible combinations, the number of green lights will always be equal to the number of yellow lights. Therefore, this statement is necessarily correct.
c) The sum of the red and green lights is equal to the sum of the yellow and blue lights:
Let's consider the possible cases:
1. Red and Blue on a step: In this case, the sum of red and green lights is 1, and the sum of yellow and blue lights is 1. The statement holds true.
2. Green and Yellow on a step: In this case, the sum of red and green lights is 1, and the sum of yellow and blue lights is 1. The statement holds true.
d) The sum of the red and blue lights is equal to the sum of the green and yellow lights:
Let's consider the possible cases:
1. Red and Blue on a step: In this case, the sum of red and blue lights is 2, and the sum of green and yellow lights is 0. The statement does not hold true.
2. Green and Yellow on a step: In this case, the sum of red and blue lights is 0, and the sum of green and yellow lights is 2. The statement does not hold true.
Therefore, the statement "d) The sum of the red and blue lights is equal to the sum of the green and yellow lights" is not necessarily correct.
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Community Answer
Lights of four colors (red, blue, green, yellow) are hung on a ladder....
According to the Question "On every step of ladder there are 2 bulbs".
"If one is Red other must be Blue". 1 pair possible = (R,B)
"If one is Green other must be Yellow". other pair of lights possible = (G,Y)
So, from the above statements, we can conclude that there will be no pair as (G,B) or (G,R) or (R,Y). But, the pair (Y,B) is a possible combination of lights in one of the ladder.
If we consider that there are 3 steps in ladder as (G,Y) , (B,Y) and (B,Y).
NONE OF THE ABOVE OPTION MATCHES (Official key was D though)
"If one is Red other must be Blue". 1 pair possible = (R,B)
"If one is Green other must be Yellow". other pair of lights possible = (G,Y)
So, from the above statements, we can conclude that there will be no pair as (G,B) or (G,R) or (R,Y). But, the pair (Y,B) is a possible combination of lights in one of the ladder.
If we consider that there are 3 steps in ladder as (G,Y) , (B,Y) and (B,Y).
NONE OF THE ABOVE OPTION MATCHES (Official key was D though)
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Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct?a)The number of red lights is equal to the number of blue lightsb)The number of green lights is equal to the number of yellow lightsc)The sum of the red and green lights is equal to the sum of the yellow and blue lightsd)The sum of the red and blue lights is equal to the sum of the green and yellow lightsCorrect answer is option 'D'. Can you explain this answer?
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Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct?a)The number of red lights is equal to the number of blue lightsb)The number of green lights is equal to the number of yellow lightsc)The sum of the red and green lights is equal to the sum of the yellow and blue lightsd)The sum of the red and blue lights is equal to the sum of the green and yellow lightsCorrect answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct?a)The number of red lights is equal to the number of blue lightsb)The number of green lights is equal to the number of yellow lightsc)The sum of the red and green lights is equal to the sum of the yellow and blue lightsd)The sum of the red and blue lights is equal to the sum of the green and yellow lightsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct?a)The number of red lights is equal to the number of blue lightsb)The number of green lights is equal to the number of yellow lightsc)The sum of the red and green lights is equal to the sum of the yellow and blue lightsd)The sum of the red and blue lights is equal to the sum of the green and yellow lightsCorrect answer is option 'D'. Can you explain this answer?.
Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct?a)The number of red lights is equal to the number of blue lightsb)The number of green lights is equal to the number of yellow lightsc)The sum of the red and green lights is equal to the sum of the yellow and blue lightsd)The sum of the red and blue lights is equal to the sum of the green and yellow lightsCorrect answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct?a)The number of red lights is equal to the number of blue lightsb)The number of green lights is equal to the number of yellow lightsc)The sum of the red and green lights is equal to the sum of the yellow and blue lightsd)The sum of the red and blue lights is equal to the sum of the green and yellow lightsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct?a)The number of red lights is equal to the number of blue lightsb)The number of green lights is equal to the number of yellow lightsc)The sum of the red and green lights is equal to the sum of the yellow and blue lightsd)The sum of the red and blue lights is equal to the sum of the green and yellow lightsCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct?a)The number of red lights is equal to the number of blue lightsb)The number of green lights is equal to the number of yellow lightsc)The sum of the red and green lights is equal to the sum of the yellow and blue lightsd)The sum of the red and blue lights is equal to the sum of the green and yellow lightsCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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Here you can find the meaning of Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct?a)The number of red lights is equal to the number of blue lightsb)The number of green lights is equal to the number of yellow lightsc)The sum of the red and green lights is equal to the sum of the yellow and blue lightsd)The sum of the red and blue lights is equal to the sum of the green and yellow lightsCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct?a)The number of red lights is equal to the number of blue lightsb)The number of green lights is equal to the number of yellow lightsc)The sum of the red and green lights is equal to the sum of the yellow and blue lightsd)The sum of the red and blue lights is equal to the sum of the green and yellow lightsCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct?a)The number of red lights is equal to the number of blue lightsb)The number of green lights is equal to the number of yellow lightsc)The sum of the red and green lights is equal to the sum of the yellow and blue lightsd)The sum of the red and blue lights is equal to the sum of the green and yellow lightsCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct?a)The number of red lights is equal to the number of blue lightsb)The number of green lights is equal to the number of yellow lightsc)The sum of the red and green lights is equal to the sum of the yellow and blue lightsd)The sum of the red and blue lights is equal to the sum of the green and yellow lightsCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct?a)The number of red lights is equal to the number of blue lightsb)The number of green lights is equal to the number of yellow lightsc)The sum of the red and green lights is equal to the sum of the yellow and blue lightsd)The sum of the red and blue lights is equal to the sum of the green and yellow lightsCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice GATE tests.
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