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In a class, there are three groups A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight of the students of the class?
- a)It increases.
- b)It decreases.
- c)It remains the same.
- d)No conclusion can be drawn due to insufficient data.
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
In a class, there are three groups A, B and C. If one student from gro...
Explanation:
- Let's assume that there are n students in the class.
- Let the average weight of the students be w.
- The total weight of all the students in the class would be n*w.
Now, let's consider the effects of shifting students from group A and B to group C:
- One student from group A is shifted to group C. Let's assume that the weight of this student is x. So, the total weight of group A decreases by x.
- Two students from group B are shifted to group C. Let's assume that the weight of these students are y and z. So, the total weight of group B decreases by y+z.
The total weight of all the students in the class after the shifting would be:
n*w - x - y - z
The total number of students in the class after the shifting would be:
n - 1 (from group A) - 2 (from group B) + 3 (to group C)
n - 1 - 2 + 3 = n
So, the average weight of the students in the class after the shifting would be:
(n*w - x - y - z) / n
= (n*w - (x+y+z)) / n
= w - ((x+y+z) / n)
Since we do not know the values of x, y and z, we cannot say for sure whether the average weight of the students will increase, decrease or remain the same after the shifting. However, we can make some observations:
- If the weights of the students shifted from group A and B to group C are equal to the average weight of the class (i.e., x = y = z = w), then the average weight of the students would remain the same.
- If the weights of the students shifted from group A and B to group C are greater than the average weight of the class (i.e., x+y+z > n*w), then the average weight of the students would decrease.
- If the weights of the students shifted from group A and B to group C are less than the average weight of the class (i.e., x+y+z < n*w),="" then="" the="" average="" weight="" of="" the="" students="" would="" />
Therefore, based on the given information, we cannot draw a conclusion about whether the average weight of the students will increase, decrease or remain the same after the shifting. Hence, option 'C' is the correct answer.
- Let's assume that there are n students in the class.
- Let the average weight of the students be w.
- The total weight of all the students in the class would be n*w.
Now, let's consider the effects of shifting students from group A and B to group C:
- One student from group A is shifted to group C. Let's assume that the weight of this student is x. So, the total weight of group A decreases by x.
- Two students from group B are shifted to group C. Let's assume that the weight of these students are y and z. So, the total weight of group B decreases by y+z.
The total weight of all the students in the class after the shifting would be:
n*w - x - y - z
The total number of students in the class after the shifting would be:
n - 1 (from group A) - 2 (from group B) + 3 (to group C)
n - 1 - 2 + 3 = n
So, the average weight of the students in the class after the shifting would be:
(n*w - x - y - z) / n
= (n*w - (x+y+z)) / n
= w - ((x+y+z) / n)
Since we do not know the values of x, y and z, we cannot say for sure whether the average weight of the students will increase, decrease or remain the same after the shifting. However, we can make some observations:
- If the weights of the students shifted from group A and B to group C are equal to the average weight of the class (i.e., x = y = z = w), then the average weight of the students would remain the same.
- If the weights of the students shifted from group A and B to group C are greater than the average weight of the class (i.e., x+y+z > n*w), then the average weight of the students would decrease.
- If the weights of the students shifted from group A and B to group C are less than the average weight of the class (i.e., x+y+z < n*w),="" then="" the="" average="" weight="" of="" the="" students="" would="" />
Therefore, based on the given information, we cannot draw a conclusion about whether the average weight of the students will increase, decrease or remain the same after the shifting. Hence, option 'C' is the correct answer.
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Community Answer
In a class, there are three groups A, B and C. If one student from gro...
It remains same option C is correct because in group A there is one member and group B two members and group A and B =C so that it remains same
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In a class, there are three groups A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight of the students of the class?a)It increases.b)It decreases.c)It remains the same.d)No conclusion can be drawn due to insufficient data.Correct answer is option 'C'. Can you explain this answer?
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