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Six boxes A, B, C, D, E and F have been painted with six different colours viz., violet, indigo, blue, green, yellow and orange and arranged from left to right (not necessarily either kept or painted with the colours in the same order). Each box contains a ball of any one of the following six games: cricket, hockey, tennis, golf, football and volleyball (not necessarily in the same order). The golf ball is in violet box and is not in the box D. The box A which contains tennis ball is orange in colour and is at the extreme right. The hockey ball is neither in box D nor in box E.
The box C having cricket ball is painted green. The hockey ball is neither in the box painted blue nor in the box painted yellow. The box C is fifth from right and next to box B. The box B contains volleyball. The box containing the hockey ball is between the boxes containing golf ball and volleyball.
 
Q. In a. question paper there are five questions to be attempted and answer to each question has two choices - True (T) or False (F). It is given that no two candidates have given the answers to the five questions in an identical sequence.
For this to happen the maximum number of candidates is:
  • a)
    10
  • b)
    18
  • c)
    26
  • d)
    32
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Six boxes A, B, C, D, E and F have been painted with six different col...
Explanation:

Given Information:
- Box A contains the tennis ball and is orange in colour at the extreme right.
- Box C contains the cricket ball and is painted green.
- The golf ball is in the violet box and not in box D.
- Box B contains the volleyball.
- The hockey ball is neither in box D nor E.
- Box C is fifth from the right and next to box B.
- The box containing the hockey ball is between the boxes containing the golf ball and volleyball.

Analysis:
- From the given information, we can deduce the following arrangement:
1. A - Orange (Tennis)
2. B - Violet (Volleyball)
3. C - Green (Cricket)
4. D - Blue
5. E - Yellow
6. F - Indigo (Golf)
- Based on the arrangement, we can see that the hockey ball cannot be in boxes D or E.

Calculation:
- To find the maximum number of candidates, we can calculate the total number of possible sequences for the 5 questions (2 choices each).
- This would be 2^5 = 32.
- However, since no two candidates can have the same sequence, we need to eliminate the sequences that are identical.
- This is done by subtracting the number of sequences where all answers are the same (2) from the total number of sequences.

Final Calculation:
- Maximum number of candidates = Total number of sequences - Number of identical sequences
- Maximum number of candidates = 32 - 2 = 30
Therefore, the correct answer is option D) 32.
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Six boxes A, B, C, D, E and F have been painted with six different col...
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Six boxes A, B, C, D, E and F have been painted with six different colours viz., violet, indigo, blue, green, yellow and orange and arranged from left to right (not necessarily either kept or painted with the colours in the same order). Each box contains a ball of any one of the following six games: cricket, hockey, tennis, golf, football and volleyball (not necessarily in the same order). The golf ball is in violet box and is not in the box D. The box A which contains tennis ball is orange in colour and is at the extreme right. The hockey ball is neither in box D nor in box E.The box C having cricket ball is painted green. The hockey ball is neither in the box painted blue nor in the box painted yellow. The box C is fifth from right and next to box B. The box B contains volleyball. The box containing the hockey ball is between the boxes containing golf ball and volleyball.Q. In a. question paper there are five questions to be attempted and answer to each question has two choices - True (T) or False (F). It is given that no two candidates have given the answers to the five questions in an identical sequence.For this to happen the maximum number of candidates is:a)10b)18c)26d)32Correct answer is option 'D'. Can you explain this answer?
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Six boxes A, B, C, D, E and F have been painted with six different colours viz., violet, indigo, blue, green, yellow and orange and arranged from left to right (not necessarily either kept or painted with the colours in the same order). Each box contains a ball of any one of the following six games: cricket, hockey, tennis, golf, football and volleyball (not necessarily in the same order). The golf ball is in violet box and is not in the box D. The box A which contains tennis ball is orange in colour and is at the extreme right. The hockey ball is neither in box D nor in box E.The box C having cricket ball is painted green. The hockey ball is neither in the box painted blue nor in the box painted yellow. The box C is fifth from right and next to box B. The box B contains volleyball. The box containing the hockey ball is between the boxes containing golf ball and volleyball.Q. In a. question paper there are five questions to be attempted and answer to each question has two choices - True (T) or False (F). It is given that no two candidates have given the answers to the five questions in an identical sequence.For this to happen the maximum number of candidates is:a)10b)18c)26d)32Correct answer is option 'D'. 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 Six boxes A, B, C, D, E and F have been painted with six different colours viz., violet, indigo, blue, green, yellow and orange and arranged from left to right (not necessarily either kept or painted with the colours in the same order). Each box contains a ball of any one of the following six games: cricket, hockey, tennis, golf, football and volleyball (not necessarily in the same order). The golf ball is in violet box and is not in the box D. The box A which contains tennis ball is orange in colour and is at the extreme right. The hockey ball is neither in box D nor in box E.The box C having cricket ball is painted green. The hockey ball is neither in the box painted blue nor in the box painted yellow. The box C is fifth from right and next to box B. The box B contains volleyball. The box containing the hockey ball is between the boxes containing golf ball and volleyball.Q. In a. question paper there are five questions to be attempted and answer to each question has two choices - True (T) or False (F). It is given that no two candidates have given the answers to the five questions in an identical sequence.For this to happen the maximum number of candidates is:a)10b)18c)26d)32Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six boxes A, B, C, D, E and F have been painted with six different colours viz., violet, indigo, blue, green, yellow and orange and arranged from left to right (not necessarily either kept or painted with the colours in the same order). Each box contains a ball of any one of the following six games: cricket, hockey, tennis, golf, football and volleyball (not necessarily in the same order). The golf ball is in violet box and is not in the box D. The box A which contains tennis ball is orange in colour and is at the extreme right. The hockey ball is neither in box D nor in box E.The box C having cricket ball is painted green. The hockey ball is neither in the box painted blue nor in the box painted yellow. The box C is fifth from right and next to box B. The box B contains volleyball. The box containing the hockey ball is between the boxes containing golf ball and volleyball.Q. In a. question paper there are five questions to be attempted and answer to each question has two choices - True (T) or False (F). It is given that no two candidates have given the answers to the five questions in an identical sequence.For this to happen the maximum number of candidates is:a)10b)18c)26d)32Correct answer is option 'D'. Can you explain this answer?.
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