Comprehension
There are 60 students in a class. These students are divided into three groups A, Band Cof 15, 20 and 25 students each. The groups A and C are combined to form group D.
Question: 1
What is the average weight of the students in group D?
What is the average weight of the students in group D?
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When averages of combined groups are asked, you need both the individual averages and sizes to determine the result.
Updated On: Aug 6, 2025
- More than the average weight of A
- More than the average weight of C
- Less than the average weight of C
- Cannot be determined
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The Correct Option is D
Solution and Explanation
Group D is formed by combining groups A and C. Without knowing the average weights of A and C individually, it’s not possible to determine whether D’s average is more or less than either.
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Question: 2
If one student from group A is shifted to group B, which of the following will be true?
If one student from group A is shifted to group B, which of the following will be true?
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Total average for a class remains constant unless total weight or total number changes.
Updated On: Aug 6, 2025
- The average weight of both groups increases
- The average weight of both the groups decreases
- The average weight of the class remains the same
- Cannot be determined
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The Correct Option is C
Solution and Explanation
Shifting a student between groups affects the averages of those groups, but the total weight of the class remains unchanged, so the overall class average stays the same.
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Question: 3
If all the students of the class have the same weight, then which of the following is false?
If all the students of the class have the same weight, then which of the following is false?
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Equal weights for all members imply equal group averages regardless of size.
Updated On: Aug 6, 2025
- The average weight of all the four groups is the same
- The total weight of A and C is twice the total weight of B
- The average weight of D is greater than the average weight of A
- The average weight of all the groups remains the same even if a number of students are shifted from one group to another
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The Correct Option is C
Solution and Explanation
If all students have the same weight, all groups have the same average. Thus, D’s average cannot be greater than A’s.
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\includegraphics[width=0.5\linewidth]{10.png}
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