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26 Apr 2026, 13:09
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In 2025, Orion Labs recorded a number for each of the 12 months to represent that month’s profit or loss. A profit was recorded as a positive number, a loss was recorded as a negative number, and a break even month was recorded as 0. Did Orion Labs have more months with a profit than months with a loss in 2025?
(1) The sum of the 12 recorded numbers is less than 0.
(2) The median of the 12 recorded numbers is less than 0.
(1) The sum of the 12 recorded numbers is less than 0.
(2) The median of the 12 recorded numbers is less than 0.
26 Apr 2026, 13:09
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Official Solution:
In 2025, Orion Labs recorded a number for each of the 12 months to represent that month’s profit or loss. A profit was recorded as a positive number, a loss was recorded as a negative number, and a break even month was recorded as 0. Did Orion Labs have more months with a profit than months with a loss in 2025?
(1) The sum of the 12 recorded numbers is less than 0.
This does not answer the question. For example, there could be 11 months with small profits and 1 month with a very large loss, so the total is still negative but the answer to the question is YES. Or there could be 12 months with losses, so the total is negative and the answer is NO. Not sufficient.
(2) The median of the 12 recorded numbers is less than 0.
With 12 numbers, the median is the average of the 6th and 7th numbers in the sorted list. If the median is less than 0, then the 6th number must be less than 0, so at least 6 months are losses. Then the number of profit months cannot be more than the number of loss months. So the answer is No.
Answer: B
In 2025, Orion Labs recorded a number for each of the 12 months to represent that month’s profit or loss. A profit was recorded as a positive number, a loss was recorded as a negative number, and a break even month was recorded as 0. Did Orion Labs have more months with a profit than months with a loss in 2025?
(1) The sum of the 12 recorded numbers is less than 0.
This does not answer the question. For example, there could be 11 months with small profits and 1 month with a very large loss, so the total is still negative but the answer to the question is YES. Or there could be 12 months with losses, so the total is negative and the answer is NO. Not sufficient.
(2) The median of the 12 recorded numbers is less than 0.
With 12 numbers, the median is the average of the 6th and 7th numbers in the sorted list. If the median is less than 0, then the 6th number must be less than 0, so at least 6 months are losses. Then the number of profit months cannot be more than the number of loss months. So the answer is No.
Answer: B
