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After some time the volunteers who were ...

After some time the volunteers who were involved in all the three tasks were asked to withdraw from one task. As a result, one of the volunteers opted out of the Body Massage and one opted out of the Pooja, while the remaining ones involved in all the three tasks opted out of the Yoga. Which of the following statements, then, necessarily follows?

A

The least number of volunteers is now performing Body Massage

B

More volunteers are now associated with Yoga as compared to Pooja

C

More volunteers are now performing Body Massage as compared to Pooja

D

none of the above

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we will analyze the situation step by step and use logical reasoning based on the information provided. ### Step 1: Understand the initial scenario We have three tasks: Body Massage, Pooja, and Yoga. Let's denote the number of volunteers involved in each task as follows: - Let \( B \) = number of volunteers in Body Massage - Let \( P \) = number of volunteers in Pooja - Let \( Y \) = number of volunteers in Yoga ### Step 2: Identify the changes According to the problem: - One volunteer opted out of Body Massage. - One volunteer opted out of Pooja. - The remaining volunteers involved in all three tasks opted out of Yoga. ### Step 3: Analyze the implications 1. After one volunteer opted out of Body Massage, the new count for Body Massage becomes \( B - 1 \). 2. After one volunteer opted out of Pooja, the new count for Pooja becomes \( P - 1 \). 3. The remaining volunteers (those who were involved in all three tasks) opted out of Yoga. If we assume that \( x \) volunteers were initially involved in all three tasks, then after opting out of Yoga, the count for Yoga becomes \( Y - x \). ### Step 4: Determine the relationships We need to compare the new counts of volunteers in Body Massage, Pooja, and Yoga: - Body Massage: \( B - 1 \) - Pooja: \( P - 1 \) - Yoga: \( Y - x \) ### Step 5: Evaluate the statements Now we need to evaluate the statements given in the problem: 1. The least number of volunteers is now performing Body Massage. 2. More volunteers are now associated with Yoga as compared to Pooja. 3. More volunteers are now performing Body Massage compared to Pooja. 4. More volunteers are now associated with Pooja compared to Body Massage. From the analysis, we can conclude: - Since one volunteer opted out of Body Massage and one from Pooja, the numbers for both tasks decrease. - The remaining volunteers opting out of Yoga means that the number in Yoga could potentially be higher than in Pooja after the changes. ### Conclusion Based on the deductions, the statement that necessarily follows is: - **More volunteers are now associated with Yoga as compared to Pooja.**
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