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At the start of a seminar, the ratio of the number of male participants to the number of female participants was 3:1. During the tea break, 16 participants left and 6 more female participants registered. The ratio of the male to the female participants became 2:1. The total number of participants at the start of the seminar was -
  • a)
    64
  • b)
    48
  • c)
    54
  • d)
    Data Insufficient
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
At the start of a seminar, the ratio of the number of male participant...
In this question, as per the information given we cannot determine how many are males and how many are females out of 16 participants who left. So, data is insufficient to answer the given question.
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Most Upvoted Answer
At the start of a seminar, the ratio of the number of male participant...
Given information:
- Ratio of male participants to female participants at the start of seminar = 3:1
- 16 participants left during tea break
- 6 more female participants registered during tea break
- Ratio of male participants to female participants after tea break = 2:1

To find:
- Total number of participants at the start of the seminar

Solution:
Let's assume that the ratio of male participants to female participants at the start of the seminar is 3x:1x, where x is a constant.
- So, the total number of participants at the start of the seminar = 3x + 1x = 4x

After tea break:
- The number of male participants remains the same, i.e., 3x
- The number of female participants becomes 1x+6 (as 6 more female participants registered)

So, the ratio of male participants to female participants after tea break is 3x:(1x+6) = 2:1
- Cross-multiplying, we get 3x+18 = 2x
- Solving for x, we get x = -18

Here, we get a negative value for x, which is not possible. Hence, the given information is insufficient to find the total number of participants at the start of the seminar.

Therefore, the correct answer is option D - Data Insufficient.
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At the start of a seminar, the ratio of the number of male participants to the number of female participants was 3:1. During the tea break, 16 participants left and 6 more female participants registered. The ratio of the male to the female participants became 2:1. The total number of participants at the start of the seminar was -a)64b)48c)54d)Data InsufficientCorrect answer is option 'D'. Can you explain this answer?
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At the start of a seminar, the ratio of the number of male participants to the number of female participants was 3:1. During the tea break, 16 participants left and 6 more female participants registered. The ratio of the male to the female participants became 2:1. The total number of participants at the start of the seminar was -a)64b)48c)54d)Data InsufficientCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about At the start of a seminar, the ratio of the number of male participants to the number of female participants was 3:1. During the tea break, 16 participants left and 6 more female participants registered. The ratio of the male to the female participants became 2:1. The total number of participants at the start of the seminar was -a)64b)48c)54d)Data InsufficientCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At the start of a seminar, the ratio of the number of male participants to the number of female participants was 3:1. During the tea break, 16 participants left and 6 more female participants registered. The ratio of the male to the female participants became 2:1. The total number of participants at the start of the seminar was -a)64b)48c)54d)Data InsufficientCorrect answer is option 'D'. Can you explain this answer?.
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