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A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.
Consider the following statements :
1. The middle three floors are painted in different colours.
2. The second (II) and the fourth (IV) floors are painted in different colours.
3. The first (I) and the fifth (V) floors are painted red.
To ensure that any two consecutive floors have different colours
Consider the following statements :
1. The middle three floors are painted in different colours.
2. The second (II) and the fourth (IV) floors are painted in different colours.
3. The first (I) and the fifth (V) floors are painted red.
To ensure that any two consecutive floors have different colours
[2019]
- a)Only statement 2 is sufficient
- b)Only statement 3 is sufficient
- c)Statement 1 is not sufficient, but statement 1 along with statement 2 is sufficient
- d)Statement 3 is not sufficient, but statement 3 along with statement 2 is sufficient
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A five-storeyed building with floors from I to V is painted using four...
Solution:
Given: A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.
To ensure that any two consecutive floors have different colours, we need to use the given statements.
Statement 1: The middle three floors are painted in different colours.
Statement 2: The second (II) and the fourth (IV) floors are painted in different colours.
Statement 3: The first (I) and the fifth (V) floors are painted red.
Let us consider each statement one by one:
Statement 1:
This statement does not provide any information regarding the colour of the first and last floors. Hence, we cannot determine the colour of these floors based on this statement alone.
Statement 2:
This statement implies that the colours used on floors II and IV are different. Therefore, the colours used on floors I and III should be the same. Similarly, the colour used on floor V should also be different from the colours used on floors III and II. Hence, statement 2 alone is sufficient to ensure that any two consecutive floors have different colours.
Statement 3:
This statement implies that the colours used on floors I and V are the same. Therefore, the colours used on floors II, III and IV should be different from the colours used on floors I and V. However, we cannot determine the colours used on floors II, III and IV based on this statement alone. Hence, statement 3 alone is not sufficient to ensure that any two consecutive floors have different colours.
Combining Statements 2 and 3:
Using statement 2, we know that the colours used on floors II and IV are different, and the colours used on floors I and V are the same. Hence, the only possible arrangement of colours is:
- Floors I and V: Red
- Floors II and IV: Different colours
- Floor III: Any of the remaining two colours
Therefore, using statements 2 and 3 together, we can ensure that any two consecutive floors have different colours.
Hence, the correct answer is option B, i.e., only statement 3 is sufficient.
Given: A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.
To ensure that any two consecutive floors have different colours, we need to use the given statements.
Statement 1: The middle three floors are painted in different colours.
Statement 2: The second (II) and the fourth (IV) floors are painted in different colours.
Statement 3: The first (I) and the fifth (V) floors are painted red.
Let us consider each statement one by one:
Statement 1:
This statement does not provide any information regarding the colour of the first and last floors. Hence, we cannot determine the colour of these floors based on this statement alone.
Statement 2:
This statement implies that the colours used on floors II and IV are different. Therefore, the colours used on floors I and III should be the same. Similarly, the colour used on floor V should also be different from the colours used on floors III and II. Hence, statement 2 alone is sufficient to ensure that any two consecutive floors have different colours.
Statement 3:
This statement implies that the colours used on floors I and V are the same. Therefore, the colours used on floors II, III and IV should be different from the colours used on floors I and V. However, we cannot determine the colours used on floors II, III and IV based on this statement alone. Hence, statement 3 alone is not sufficient to ensure that any two consecutive floors have different colours.
Combining Statements 2 and 3:
Using statement 2, we know that the colours used on floors II and IV are different, and the colours used on floors I and V are the same. Hence, the only possible arrangement of colours is:
- Floors I and V: Red
- Floors II and IV: Different colours
- Floor III: Any of the remaining two colours
Therefore, using statements 2 and 3 together, we can ensure that any two consecutive floors have different colours.
Hence, the correct answer is option B, i.e., only statement 3 is sufficient.
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Community Answer
A five-storeyed building with floors from I to V is painted using four...
From statement (3), floor 1 and 5 are painted by the same colour red.
Then, middle three floor 2, 3 and 4 must be painted in remaining three different colours.
Floor
In that way, we get that any two consecutive floor have different colours.
Then, middle three floor 2, 3 and 4 must be painted in remaining three different colours.
Floor
In that way, we get that any two consecutive floor have different colours.
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A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.Consider the following statements :1. The middle three floors are painted in different colours.2. The second (II) and the fourth (IV) floors are paintedin different colours.3. The first (I) and the fifth (V) floors are painted red.To ensure that any two consecutive floors have differentcolours[2019]a)Only statement 2 is sufficientb)Only statement 3 is sufficientc)Statement 1 is not sufficient, but statement 1 alongwith statement 2 is sufficientd)Statement 3 is not sufficient, but statement 3 alongwith statement 2 is sufficientCorrect answer is option 'B'. Can you explain this answer?
Question Description
A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.Consider the following statements :1. The middle three floors are painted in different colours.2. The second (II) and the fourth (IV) floors are paintedin different colours.3. The first (I) and the fifth (V) floors are painted red.To ensure that any two consecutive floors have differentcolours[2019]a)Only statement 2 is sufficientb)Only statement 3 is sufficientc)Statement 1 is not sufficient, but statement 1 alongwith statement 2 is sufficientd)Statement 3 is not sufficient, but statement 3 alongwith statement 2 is sufficientCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.Consider the following statements :1. The middle three floors are painted in different colours.2. The second (II) and the fourth (IV) floors are paintedin different colours.3. The first (I) and the fifth (V) floors are painted red.To ensure that any two consecutive floors have differentcolours[2019]a)Only statement 2 is sufficientb)Only statement 3 is sufficientc)Statement 1 is not sufficient, but statement 1 alongwith statement 2 is sufficientd)Statement 3 is not sufficient, but statement 3 alongwith statement 2 is sufficientCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.Consider the following statements :1. The middle three floors are painted in different colours.2. The second (II) and the fourth (IV) floors are paintedin different colours.3. The first (I) and the fifth (V) floors are painted red.To ensure that any two consecutive floors have differentcolours[2019]a)Only statement 2 is sufficientb)Only statement 3 is sufficientc)Statement 1 is not sufficient, but statement 1 alongwith statement 2 is sufficientd)Statement 3 is not sufficient, but statement 3 alongwith statement 2 is sufficientCorrect answer is option 'B'. Can you explain this answer?.
A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.Consider the following statements :1. The middle three floors are painted in different colours.2. The second (II) and the fourth (IV) floors are paintedin different colours.3. The first (I) and the fifth (V) floors are painted red.To ensure that any two consecutive floors have differentcolours[2019]a)Only statement 2 is sufficientb)Only statement 3 is sufficientc)Statement 1 is not sufficient, but statement 1 alongwith statement 2 is sufficientd)Statement 3 is not sufficient, but statement 3 alongwith statement 2 is sufficientCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.Consider the following statements :1. The middle three floors are painted in different colours.2. The second (II) and the fourth (IV) floors are paintedin different colours.3. The first (I) and the fifth (V) floors are painted red.To ensure that any two consecutive floors have differentcolours[2019]a)Only statement 2 is sufficientb)Only statement 3 is sufficientc)Statement 1 is not sufficient, but statement 1 alongwith statement 2 is sufficientd)Statement 3 is not sufficient, but statement 3 alongwith statement 2 is sufficientCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.Consider the following statements :1. The middle three floors are painted in different colours.2. The second (II) and the fourth (IV) floors are paintedin different colours.3. The first (I) and the fifth (V) floors are painted red.To ensure that any two consecutive floors have differentcolours[2019]a)Only statement 2 is sufficientb)Only statement 3 is sufficientc)Statement 1 is not sufficient, but statement 1 alongwith statement 2 is sufficientd)Statement 3 is not sufficient, but statement 3 alongwith statement 2 is sufficientCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.Consider the following statements :1. The middle three floors are painted in different colours.2. The second (II) and the fourth (IV) floors are paintedin different colours.3. The first (I) and the fifth (V) floors are painted red.To ensure that any two consecutive floors have differentcolours[2019]a)Only statement 2 is sufficientb)Only statement 3 is sufficientc)Statement 1 is not sufficient, but statement 1 alongwith statement 2 is sufficientd)Statement 3 is not sufficient, but statement 3 alongwith statement 2 is sufficientCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
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A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.Consider the following statements :1. The middle three floors are painted in different colours.2. The second (II) and the fourth (IV) floors are paintedin different colours.3. The first (I) and the fifth (V) floors are painted red.To ensure that any two consecutive floors have differentcolours[2019]a)Only statement 2 is sufficientb)Only statement 3 is sufficientc)Statement 1 is not sufficient, but statement 1 alongwith statement 2 is sufficientd)Statement 3 is not sufficient, but statement 3 alongwith statement 2 is sufficientCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.Consider the following statements :1. The middle three floors are painted in different colours.2. The second (II) and the fourth (IV) floors are paintedin different colours.3. The first (I) and the fifth (V) floors are painted red.To ensure that any two consecutive floors have differentcolours[2019]a)Only statement 2 is sufficientb)Only statement 3 is sufficientc)Statement 1 is not sufficient, but statement 1 alongwith statement 2 is sufficientd)Statement 3 is not sufficient, but statement 3 alongwith statement 2 is sufficientCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.Consider the following statements :1. The middle three floors are painted in different colours.2. The second (II) and the fourth (IV) floors are paintedin different colours.3. The first (I) and the fifth (V) floors are painted red.To ensure that any two consecutive floors have differentcolours[2019]a)Only statement 2 is sufficientb)Only statement 3 is sufficientc)Statement 1 is not sufficient, but statement 1 alongwith statement 2 is sufficientd)Statement 3 is not sufficient, but statement 3 alongwith statement 2 is sufficientCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A five-storeyed building with floors from I to V is painted using four different colours and only one colour is used to paint a floor.Consider the following statements :1. The middle three floors are painted in different colours.2. The second (II) and the fourth (IV) floors are paintedin different colours.3. The first (I) and the fifth (V) floors are painted red.To ensure that any two consecutive floors have differentcolours[2019]a)Only statement 2 is sufficientb)Only statement 3 is sufficientc)Statement 1 is not sufficient, but statement 1 alongwith statement 2 is sufficientd)Statement 3 is not sufficient, but statement 3 alongwith statement 2 is sufficientCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice UPSC tests.
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