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While calculating the weight of a group of men, the weight of 63 kg of one of the member was mistakenly written as 83 kg. Due to this the average of the weights increased by half kg. What is the number of men in the group?
- a)25
- b)20
- c)40
- d)60
- e)24
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
While calculating the weight of a group of men, the weight of 63 kg of...
C) 40
Explanation: Increase in marks lead to increase in average by ½ So (83-63) = x/2 x = 40
Explanation: Increase in marks lead to increase in average by ½ So (83-63) = x/2 x = 40
Most Upvoted Answer
While calculating the weight of a group of men, the weight of 63 kg of...
C) 40
Explanation: Increase in marks lead to increase in average by ½ So (83-63) = x/2 x = 40
Explanation: Increase in marks lead to increase in average by ½ So (83-63) = x/2 x = 40
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Community Answer
While calculating the weight of a group of men, the weight of 63 kg of...
To solve this problem, let's assume the number of men in the group is 'n'.
Let the original total weight of the group be 'W'.
Let the original average weight of the group be 'A'.
Given that the weight of one member was mistakenly written as 83 kg instead of 63 kg, we can calculate the difference in weight as follows:
Difference in weight = (83 kg - 63 kg) = 20 kg
Since the average weight increased by half kg, the new average weight of the group is 'A + 0.5'.
Let's calculate the new total weight of the group using the new average weight:
New total weight = (A + 0.5) * n
We can also calculate the new total weight by considering the difference in weight:
New total weight = W + 20 kg
Since both expressions represent the new total weight of the group, we can equate them:
W + 20 kg = (A + 0.5) * n
Now, let's substitute the value of 'W' from the equation for the original average weight:
A * n = (A + 0.5) * n - 20 kg
Simplifying the equation, we get:
A * n = A * n + 0.5 * n - 20 kg
0.5 * n = 20 kg
n = 40
Therefore, the number of men in the group is 40.
Let the original total weight of the group be 'W'.
Let the original average weight of the group be 'A'.
Given that the weight of one member was mistakenly written as 83 kg instead of 63 kg, we can calculate the difference in weight as follows:
Difference in weight = (83 kg - 63 kg) = 20 kg
Since the average weight increased by half kg, the new average weight of the group is 'A + 0.5'.
Let's calculate the new total weight of the group using the new average weight:
New total weight = (A + 0.5) * n
We can also calculate the new total weight by considering the difference in weight:
New total weight = W + 20 kg
Since both expressions represent the new total weight of the group, we can equate them:
W + 20 kg = (A + 0.5) * n
Now, let's substitute the value of 'W' from the equation for the original average weight:
A * n = (A + 0.5) * n - 20 kg
Simplifying the equation, we get:
A * n = A * n + 0.5 * n - 20 kg
0.5 * n = 20 kg
n = 40
Therefore, the number of men in the group is 40.
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While calculating the weight of a group of men, the weight of 63 kg of one of the member was mistakenly written as 83 kg. Due to this the average of the weights increased by half kg. What is the number of men in the group?a)25b)20c)40d)60e)24Correct answer is option 'C'. Can you explain this answer?
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While calculating the weight of a group of men, the weight of 63 kg of one of the member was mistakenly written as 83 kg. Due to this the average of the weights increased by half kg. What is the number of men in the group?a)25b)20c)40d)60e)24Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about While calculating the weight of a group of men, the weight of 63 kg of one of the member was mistakenly written as 83 kg. Due to this the average of the weights increased by half kg. What is the number of men in the group?a)25b)20c)40d)60e)24Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for While calculating the weight of a group of men, the weight of 63 kg of one of the member was mistakenly written as 83 kg. Due to this the average of the weights increased by half kg. What is the number of men in the group?a)25b)20c)40d)60e)24Correct answer is option 'C'. Can you explain this answer?.
While calculating the weight of a group of men, the weight of 63 kg of one of the member was mistakenly written as 83 kg. Due to this the average of the weights increased by half kg. What is the number of men in the group?a)25b)20c)40d)60e)24Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about While calculating the weight of a group of men, the weight of 63 kg of one of the member was mistakenly written as 83 kg. Due to this the average of the weights increased by half kg. What is the number of men in the group?a)25b)20c)40d)60e)24Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for While calculating the weight of a group of men, the weight of 63 kg of one of the member was mistakenly written as 83 kg. Due to this the average of the weights increased by half kg. What is the number of men in the group?a)25b)20c)40d)60e)24Correct answer is option 'C'. Can you explain this answer?.
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