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10 Jul 2025, 09:43
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We are given a 4-hour shift and a total of 80 boxes that were loaded during that shift. We are asked to find the mean weight of the 80 boxes.
Statement 1:
During the first 2 hours of the shift, the average (arithmetic mean) weight of the boxes Mark loaded was 20 kilograms.
This is insufficient since it doesn't tell us anything about the number of boes that were picked that had the avg weight of 20kg
Statement 2:
During the last 2 hours of the shift, the average (arithmetic mean) weight of the boxes Mark loaded was 30 kilograms.
This is insufficient since it doesn't tell us anything about the number of boes that were picked that had the avg weight of 30kg
Both statements together:
They are insufficient, since we have no idea on the number of boxes that were loaded in the first 2 and the last 2 hours.
If the same number of boxes were lifted, we can say that, 20kg and 30kg were in the ratio 1:1, so our average becomes 25kg
If more number of boxes were lifted in the first half, due to them being lighter, and the ratio to that of 20kg and 30kg boxes is 3:2, our average becomes 24 kg
So, insufficient.
Answer E.
Statement 1:
During the first 2 hours of the shift, the average (arithmetic mean) weight of the boxes Mark loaded was 20 kilograms.
This is insufficient since it doesn't tell us anything about the number of boes that were picked that had the avg weight of 20kg
Statement 2:
During the last 2 hours of the shift, the average (arithmetic mean) weight of the boxes Mark loaded was 30 kilograms.
This is insufficient since it doesn't tell us anything about the number of boes that were picked that had the avg weight of 30kg
Both statements together:
They are insufficient, since we have no idea on the number of boxes that were loaded in the first 2 and the last 2 hours.
If the same number of boxes were lifted, we can say that, 20kg and 30kg were in the ratio 1:1, so our average becomes 25kg
If more number of boxes were lifted in the first half, due to them being lighter, and the ratio to that of 20kg and 30kg boxes is 3:2, our average becomes 24 kg
So, insufficient.
Answer E.
10 Jul 2025, 09:56
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We are provided with a work rate of which we don't know if it stays constant over the time of the 4-hour shift, therefore both statements are insufficient alone as well as together because we don't know how many boxes he loaded in the first 2 hours compared to the last 2 hours. Answer E.
Regards,
Lucas
Regards,
Lucas
Bunuel
10 Jul 2025, 09:57
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Statement (1): During the first 2 hours, the average weight of the boxes Mark loaded was 20 kg
But we don’t know no. of boxes he loaded during the first 2 hours.
we cannot calculate the total weight for the first 2 hours, nor the total weight for the 4 hours.
Insufficient.
Statement (2): During the last 2 hours, the average weight of the boxes Mark loaded was 30 kg.
Here also we don't know how many boxes were loaded in the last 2 hours. Can't calculate total weight.
Insufficient.
Combining 1&2,
Let x= no. of boxes in first 2 hrs
Total weight= 20x
So 80-x in last 2 hours
Total weight= 30(80-x)
Total weight= 20x+30(80-x)
We can't determine the mean as x is still unknown.
E) Statements 1 & 2 together are not sufficient.
But we don’t know no. of boxes he loaded during the first 2 hours.
we cannot calculate the total weight for the first 2 hours, nor the total weight for the 4 hours.
Insufficient.
Statement (2): During the last 2 hours, the average weight of the boxes Mark loaded was 30 kg.
Here also we don't know how many boxes were loaded in the last 2 hours. Can't calculate total weight.
Insufficient.
Combining 1&2,
Let x= no. of boxes in first 2 hrs
Total weight= 20x
So 80-x in last 2 hours
Total weight= 30(80-x)
Total weight= 20x+30(80-x)
We can't determine the mean as x is still unknown.
E) Statements 1 & 2 together are not sufficient.
