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In a group of 400, every student specialises in exactly two dance forms from Salsa, Belly, Hip-Hop and Ballet. It is known that 100 students specialise in Salsa and Belly dancing, 70 students specialise in Salsa and Hip-Hop dancing, while 50 students specialise in Belly and Hip-Hop dancing. Among the remaining students, an equal number specialise in each of the other possible dual dance categories.
 
Q. If 20% of Belly dancers are dropped on account of being physically unfit, then what is the maximum percentage of such dropped students who specialise in both Hip-Hop and Belly dances?
  • a)
    84%
  • b)
    42%
  • c)
    68%
  • d)
    72%
Correct answer is option 'A'. Can you explain this answer?
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In a group of 400, every student specialises in exactly two dance form...
Solution: Total number of Belly dancers = 210 Number of Belly dancers dropped on account of being physically unfit = 20% of 210 = 42 The number of students who specialise in both, Belly and Hip- Hop = 50
To find the maximum percentage of dropped students who specialise in both these dance forms, we will consider that all the dropped 42 students are from the 50 students who specialise in both.
So, the required percentage = (42 /50) x 100 = 84% Hence, option 1.
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Most Upvoted Answer
In a group of 400, every student specialises in exactly two dance form...
Let's solve this problem step by step:

Given:
- There are 400 students in total.
- Each student specializes in exactly two dance forms: Salsa, Belly, Hip-Hop, and Ballet.
- 100 students specialize in Salsa and Belly dancing.
- 70 students specialize in Salsa and Hip-Hop dancing.
- 50 students specialize in Belly and Hip-Hop dancing.

Number of students specializing in each dance form:
- Salsa: 100 + 70 = 170
- Belly: 100 + 50 = 150
- Hip-Hop: 70 + 50 = 120
- Ballet: Total students - (Salsa + Belly + Hip-Hop) = 400 - (170 + 150 + 120) = 400 - 440 = -40

This means there are -40 students specializing in Ballet, which is not possible. So, there must be an error in the given information.

Let's assume that the question meant to say that among the remaining students, an equal number specialize in each of the other possible dual dance categories. In that case, let's calculate the number of students specializing in each dual dance category:

Number of students specializing in each dual dance category:
- Salsa and Ballet: 170 - 100 = 70
- Belly and Ballet: 150 - 100 = 50
- Hip-Hop and Ballet: 120 - 50 = 70

Now, let's consider the scenario where 20% of Belly dancers are dropped on account of being physically unfit. This means 20% of 150 = 30 Belly dancers will be dropped.

Number of Belly dancers remaining = 150 - 30 = 120

Now, we need to find the maximum percentage of the dropped students who specialize in both Hip-Hop and Belly dances. To find this, we need to consider the extreme case where all the dropped students specialize in both Hip-Hop and Belly dances.

Number of dropped students specializing in both Hip-Hop and Belly dances = 30
Percentage of dropped students specializing in both Hip-Hop and Belly dances = (30/400) * 100 = 7.5%

Therefore, the maximum percentage of such dropped students who specialize in both Hip-Hop and Belly dances is 7.5%. Hence, the correct answer is option (A) 7.5%.
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In a group of 400, every student specialises in exactly two dance forms from Salsa, Belly, Hip-Hop and Ballet. It is known that 100 students specialise in Salsa and Belly dancing, 70 students specialise in Salsa and Hip-Hop dancing, while 50 students specialise in Belly and Hip-Hop dancing. Among the remaining students, an equal number specialise in each of the other possible dual dance categories.Q. If 20% of Belly dancers are dropped on account of being physically unfit, then what is the maximum percentage of such dropped students who specialise in both Hip-Hop and Belly dances?a)84%b)42%c)68%d)72%Correct answer is option 'A'. Can you explain this answer?
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In a group of 400, every student specialises in exactly two dance forms from Salsa, Belly, Hip-Hop and Ballet. It is known that 100 students specialise in Salsa and Belly dancing, 70 students specialise in Salsa and Hip-Hop dancing, while 50 students specialise in Belly and Hip-Hop dancing. Among the remaining students, an equal number specialise in each of the other possible dual dance categories.Q. If 20% of Belly dancers are dropped on account of being physically unfit, then what is the maximum percentage of such dropped students who specialise in both Hip-Hop and Belly dances?a)84%b)42%c)68%d)72%Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a group of 400, every student specialises in exactly two dance forms from Salsa, Belly, Hip-Hop and Ballet. It is known that 100 students specialise in Salsa and Belly dancing, 70 students specialise in Salsa and Hip-Hop dancing, while 50 students specialise in Belly and Hip-Hop dancing. Among the remaining students, an equal number specialise in each of the other possible dual dance categories.Q. If 20% of Belly dancers are dropped on account of being physically unfit, then what is the maximum percentage of such dropped students who specialise in both Hip-Hop and Belly dances?a)84%b)42%c)68%d)72%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a group of 400, every student specialises in exactly two dance forms from Salsa, Belly, Hip-Hop and Ballet. It is known that 100 students specialise in Salsa and Belly dancing, 70 students specialise in Salsa and Hip-Hop dancing, while 50 students specialise in Belly and Hip-Hop dancing. Among the remaining students, an equal number specialise in each of the other possible dual dance categories.Q. If 20% of Belly dancers are dropped on account of being physically unfit, then what is the maximum percentage of such dropped students who specialise in both Hip-Hop and Belly dances?a)84%b)42%c)68%d)72%Correct answer is option 'A'. Can you explain this answer?.
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