Group QuestionAnswer the following question based on the information given below.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. How many of the students specialise in Belly dance?a)210b)270c)180d)220Correct answer is option 'A'. Can you explain this answer?

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Group Question

Answer the following question based on the information given below.

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. How many of the students specialise in Belly dance?

a)
210
b)
270
c)
180
d)
220

Correct answer is option 'A'. Can you explain this answer?

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Group QuestionAnswer the following question based on the information g...

The given information can be represented by a Venn Diagram as above.
From this, we can see that the number of students who specialise in Belly dance = 100 + 50 + 60
= 210

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Group QuestionAnswer the following question based on the information g...

To solve this question, we can use the principle of inclusion-exclusion. Let's break down the information given into different categories:

1. Students specialising in Salsa and Belly dancing = 100
2. Students specialising in Salsa and Hip-Hop dancing = 70
3. Students specialising in Belly and Hip-Hop dancing = 50

We are also told that among the remaining students, an equal number specialise in each of the other possible dual dance categories. Let's call this number 'x'.

Now, let's use the principle of inclusion-exclusion to find the total number of students who specialise in Belly dance:

1. Total number of students specialising in Salsa and Belly dancing = 100
2. Total number of students specialising in Salsa and Hip-Hop dancing = 70
3. Total number of students specialising in Belly and Hip-Hop dancing = 50
4. Total number of students specialising in Salsa, Belly, and Hip-Hop dancing = x

To find the total number of students specialised in Belly dance, we can add the following:

Total number of students specialising in Salsa and Belly dancing + Total number of students specialising in Belly and Hip-Hop dancing - Total number of students specialising in Salsa, Belly, and Hip-Hop dancing

= 100 + 50 - x

But we also know that the total number of students in the group is 400. So, we can equate the above expression to 400 and solve for x:

100 + 50 - x = 400
150 - x = 400
x = 150 - 400
x = -250

This means that there is no student specialising in all three dance forms. However, since we are told that an equal number of students specialise in each of the other possible dual dance categories among the remaining students, we can assume that x is positive.

To find the total number of students specialising in Belly dance, we can substitute the value of x back into the expression:

100 + 50 - x = 100 + 50 - (-250) = 150 + 250 = 400

Therefore, the correct answer is 400.

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Group QuestionAnswer the following question based on the information given below.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. How many of the students specialise in Belly dance?a)210b)270c)180d)220Correct answer is option 'A'. Can you explain this answer?

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Group QuestionAnswer the following question based on the information given below.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. How many of the students specialise in Belly dance?a)210b)270c)180d)220Correct 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 Group QuestionAnswer the following question based on the information given below.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. How many of the students specialise in Belly dance?a)210b)270c)180d)220Correct 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 Group QuestionAnswer the following question based on the information given below.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. How many of the students specialise in Belly dance?a)210b)270c)180d)220Correct answer is option 'A'. Can you explain this answer?.

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