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Of the 120 volunteers who registered for a social welfare camp, 40 stayed for the first half of the camp duration while 10 stayed throughout the camp. If the number of volunteers who stayed for the second half is twice the number of volunteers who did not turn up for the camp at all, how many volunteers stayed for the second half of the camp?
- a)40
- b)50
- c)60
- d)80
- e)100
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Of the 120 volunteers who registered for a social welfare camp, 40 sta...
Step 1: Question statement and Inferences
We are given that 120 volunteers registered for a social welfare camp. On the basis of their appearance in the first or second half of the camp, the volunteers can be divided into the following categories:
Z = the number of volunteers who stayed for only the first half
Y = the number of volunteers who stayed for only the second half
X = the number of volunteers who stayed for both the first and the second halves
T = the number of volunteers who did not show up
Since the total number of volunteers is 120, we can write:
X + Y + Z + T = 120 . . . (1)
Also, it is given in the question that:
X = 10 . . . (2)
X + Z = 40
By substituting the value of X in the above equation, we get:
10 + Z = 40
Z = 30 . . . (3)
Also, we are given:
X + Y = 2T
Substituting the value of X in this equation, we get:
10 + Y = 2T
Or, T= (Y + 10)/2 . . . (4)
Step 2: Finding required values
Substituting Equations 2, 3 and 4 in Equation 1:
2Y + Y + 10 = 160
3Y = 150
Y = 50
Step 3: Calculating the final answer
The number of volunteers who stayed for the second half = Y + 10 = 50 + 10 = 60
Answer: Option (C)
Most Upvoted Answer
Of the 120 volunteers who registered for a social welfare camp, 40 sta...
To solve this problem, we need to carefully analyze the information given and use logical reasoning to arrive at the answer.
Given information:
- Total number of volunteers registered for the camp = 120
- Number of volunteers who stayed for the first half of the camp = 40
- Number of volunteers who stayed throughout the camp = 10
- Number of volunteers who did not turn up for the camp at all = x (unknown)
We are also given that the number of volunteers who stayed for the second half is twice the number of volunteers who did not turn up for the camp at all.
Let's break down the information and solve the problem step by step.
1. Volunteers who stayed for the first half:
- Given that 40 volunteers stayed for the first half of the camp.
2. Volunteers who stayed throughout the camp:
- Given that 10 volunteers stayed throughout the camp.
3. Volunteers who did not turn up for the camp at all:
- Let's assume the number of volunteers who did not turn up for the camp at all is x.
4. Volunteers who stayed for the second half:
- Given that the number of volunteers who stayed for the second half is twice the number of volunteers who did not turn up for the camp at all.
- Therefore, the number of volunteers who stayed for the second half = 2x.
Now, let's use the information given to create an equation.
Total number of volunteers = Number of volunteers who stayed for the first half + Number of volunteers who stayed for the second half + Number of volunteers who stayed throughout the camp + Number of volunteers who did not turn up for the camp at all.
120 = 40 + 2x + 10 + x
Simplifying the equation:
120 = 50 + 3x
Subtracting 50 from both sides:
70 = 3x
Dividing both sides by 3:
x = 70/3
Since the number of volunteers must be a whole number, we can round up x to the nearest whole number, which is 24.
Therefore, the number of volunteers who stayed for the second half of the camp = 2x = 2 * 24 = 48.
However, none of the answer choices match our solution. It seems that there might be an error in the answer choices.
If we calculate the number of volunteers who stayed for the second half using the equation, we get:
Number of volunteers who stayed for the second half = 2x = 2 * 70/3 ≈ 46.67.
Rounding up to the nearest whole number, we get 47. Therefore, the correct answer should be 47, not 60 as stated in the answer choices.
Given information:
- Total number of volunteers registered for the camp = 120
- Number of volunteers who stayed for the first half of the camp = 40
- Number of volunteers who stayed throughout the camp = 10
- Number of volunteers who did not turn up for the camp at all = x (unknown)
We are also given that the number of volunteers who stayed for the second half is twice the number of volunteers who did not turn up for the camp at all.
Let's break down the information and solve the problem step by step.
1. Volunteers who stayed for the first half:
- Given that 40 volunteers stayed for the first half of the camp.
2. Volunteers who stayed throughout the camp:
- Given that 10 volunteers stayed throughout the camp.
3. Volunteers who did not turn up for the camp at all:
- Let's assume the number of volunteers who did not turn up for the camp at all is x.
4. Volunteers who stayed for the second half:
- Given that the number of volunteers who stayed for the second half is twice the number of volunteers who did not turn up for the camp at all.
- Therefore, the number of volunteers who stayed for the second half = 2x.
Now, let's use the information given to create an equation.
Total number of volunteers = Number of volunteers who stayed for the first half + Number of volunteers who stayed for the second half + Number of volunteers who stayed throughout the camp + Number of volunteers who did not turn up for the camp at all.
120 = 40 + 2x + 10 + x
Simplifying the equation:
120 = 50 + 3x
Subtracting 50 from both sides:
70 = 3x
Dividing both sides by 3:
x = 70/3
Since the number of volunteers must be a whole number, we can round up x to the nearest whole number, which is 24.
Therefore, the number of volunteers who stayed for the second half of the camp = 2x = 2 * 24 = 48.
However, none of the answer choices match our solution. It seems that there might be an error in the answer choices.
If we calculate the number of volunteers who stayed for the second half using the equation, we get:
Number of volunteers who stayed for the second half = 2x = 2 * 70/3 ≈ 46.67.
Rounding up to the nearest whole number, we get 47. Therefore, the correct answer should be 47, not 60 as stated in the answer choices.
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Of the 120 volunteers who registered for a social welfare camp, 40 stayed for the first half of the camp duration while 10 stayed throughout the camp. If the number of volunteers who stayed for the second half is twice the number of volunteers who did not turn up for the camp at all, how many volunteers stayed for the second half of the camp? a)40b)50c)60d)80e)100Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Of the 120 volunteers who registered for a social welfare camp, 40 stayed for the first half of the camp duration while 10 stayed throughout the camp. If the number of volunteers who stayed for the second half is twice the number of volunteers who did not turn up for the camp at all, how many volunteers stayed for the second half of the camp? a)40b)50c)60d)80e)100Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Of the 120 volunteers who registered for a social welfare camp, 40 stayed for the first half of the camp duration while 10 stayed throughout the camp. If the number of volunteers who stayed for the second half is twice the number of volunteers who did not turn up for the camp at all, how many volunteers stayed for the second half of the camp? a)40b)50c)60d)80e)100Correct answer is option 'C'. Can you explain this answer?.
Of the 120 volunteers who registered for a social welfare camp, 40 stayed for the first half of the camp duration while 10 stayed throughout the camp. If the number of volunteers who stayed for the second half is twice the number of volunteers who did not turn up for the camp at all, how many volunteers stayed for the second half of the camp? a)40b)50c)60d)80e)100Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Of the 120 volunteers who registered for a social welfare camp, 40 stayed for the first half of the camp duration while 10 stayed throughout the camp. If the number of volunteers who stayed for the second half is twice the number of volunteers who did not turn up for the camp at all, how many volunteers stayed for the second half of the camp? a)40b)50c)60d)80e)100Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Of the 120 volunteers who registered for a social welfare camp, 40 stayed for the first half of the camp duration while 10 stayed throughout the camp. If the number of volunteers who stayed for the second half is twice the number of volunteers who did not turn up for the camp at all, how many volunteers stayed for the second half of the camp? a)40b)50c)60d)80e)100Correct answer is option 'C'. Can you explain this answer?.
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