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In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.
Q. What is the difference between the sum of number of students taking classes of traditional dance forms in academies K and L together and the sum of number of students taking classes of western dance forms in academies L and M together?
  • a)
    17
  • b)
    19
  • c)
    21
  • d)
    23
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Directions: Study the following information carefully and answer the q...
Total number of students in academy K = 156
Ratio of the number of students taking classes of traditional and western dance forms in academy K = 7 : 6
7x + 6x = 13x = 156
x = 12
Number of students taking classes of traditional dance forms in academy K = 7x = 7 × 12 = 84
Number of students taking classes of western dance forms in academy K = 6x = 6 × 12 = 72
Number of students taking classes of western dance forms in academy L = 50% of the number of students taking classes of traditional dance forms in academy K.
Number of students taking classes of western dance forms in academy L = 50% of 84 = 42
Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.
If 3x = 42, then x = 14
So, number of students taking classes of traditional dance forms in academy L = 5x = 14 × 5 = 70
Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms + Number of students taking classes of traditional dance forms in academy L
Number of students taking classes of traditional dance forms in academy L = 70
Number of students taking classes of traditional dance forms in academy M = 70 + 6 = 76
Number of students taking classes of western dance forms in academy M = 439 - (156 + 70 + 42 + 76) = 95

The sum of number of students taking classes of traditional dance forms in academies K and L together = 84 + 70 = 154
The sum of number of students taking classes of western dance forms in academies L and M together = 137
Required difference = 154 – 137 = 17
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Most Upvoted Answer
Directions: Study the following information carefully and answer the q...
Given Information:
- Total number of students in academies K, L, and M: 439
- Number of students in academy K: 156
- Ratio of students in academy K taking traditional and western dance forms: 7 : 6
- Ratio of students in academy L taking traditional and western dance forms: 3 : 5

Calculations:
1. Number of students taking traditional dance forms in academy K:
- Let the number of students taking traditional dance forms in academy K be 7x.
- Number of students taking western dance forms in academy K = 6x.
- Total students in academy K = 7x + 6x = 13x = 156
- So, x = 12
- Number of students taking traditional dance forms in academy K = 7*12 = 84
2. Number of students taking western dance forms in academy L:
- Number of students taking traditional dance forms in academy K = 84
- Number of students taking western dance forms in academy L = 50% of 84 = 42
3. Number of students taking traditional dance forms in academy L:
- Ratio of students taking traditional and western dance forms in academy L = 3 : 5
- Let the number of students taking traditional dance forms in academy L be 3y.
- Number of students taking western dance forms in academy L = 5y = 42
- So, y = 8.4 (which is not possible as it should be a whole number)
- Therefore, there is a mistake in the given information.
4. Number of students taking traditional dance forms in academy M:
- Number of students taking western dance forms in academy M = 42
- Number of students taking traditional dance forms in academy M = 1/7 of (42 + 8.4) = 6
5. Calculate the required difference:
- Sum of students taking traditional dance forms in academies K and L = 84 + 3y
- Sum of students taking western dance forms in academies L and M = 42 + 42 = 84
- Required difference = (84 + 3y) - 84 = 3y

Final Answer:
Since there is an inconsistency in the given information, the correct difference cannot be calculated.
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Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.What is the difference between the sum of number of students taking classes of traditional dance forms in academies K and L together and the sum of number of students taking classes of western dance forms in academies L and M together?a)17b)19c)21d)23Correct answer is option 'A'. Can you explain this answer?
Question Description
Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.What is the difference between the sum of number of students taking classes of traditional dance forms in academies K and L together and the sum of number of students taking classes of western dance forms in academies L and M together?a)17b)19c)21d)23Correct answer is option 'A'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.What is the difference between the sum of number of students taking classes of traditional dance forms in academies K and L together and the sum of number of students taking classes of western dance forms in academies L and M together?a)17b)19c)21d)23Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.What is the difference between the sum of number of students taking classes of traditional dance forms in academies K and L together and the sum of number of students taking classes of western dance forms in academies L and M together?a)17b)19c)21d)23Correct answer is option 'A'. Can you explain this answer?.
Solutions for Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.What is the difference between the sum of number of students taking classes of traditional dance forms in academies K and L together and the sum of number of students taking classes of western dance forms in academies L and M together?a)17b)19c)21d)23Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT. Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
Here you can find the meaning of Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.What is the difference between the sum of number of students taking classes of traditional dance forms in academies K and L together and the sum of number of students taking classes of western dance forms in academies L and M together?a)17b)19c)21d)23Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.What is the difference between the sum of number of students taking classes of traditional dance forms in academies K and L together and the sum of number of students taking classes of western dance forms in academies L and M together?a)17b)19c)21d)23Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.What is the difference between the sum of number of students taking classes of traditional dance forms in academies K and L together and the sum of number of students taking classes of western dance forms in academies L and M together?a)17b)19c)21d)23Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.What is the difference between the sum of number of students taking classes of traditional dance forms in academies K and L together and the sum of number of students taking classes of western dance forms in academies L and M together?a)17b)19c)21d)23Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.What is the difference between the sum of number of students taking classes of traditional dance forms in academies K and L together and the sum of number of students taking classes of western dance forms in academies L and M together?a)17b)19c)21d)23Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CLAT tests.
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