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04 Aug 2025, 10:23
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Minimum: 3
Maximum: 17
A certain website has a request threshold (RT), defined as the maximum number of requests it can handle in a single day. If the number of requests on a given day exceeds the RT, the site processes only the first RT requests. The remaining requests are not addressed and are permanently discarded.
During one week, from Monday to Sunday, the number of requests received on each day was as follows:
810, 790, 830, 823, 780, 795, 820
On exactly 4 out of the 7 days that week, there was at least one request that was not addressed.
On the following Monday, the site received 812 requests.
Based on this information, select the Minimum and the Maximum number of requests that could have been not addressed on that Monday. Make only two selections, one in each column.
During one week, from Monday to Sunday, the number of requests received on each day was as follows:
810, 790, 830, 823, 780, 795, 820
On exactly 4 out of the 7 days that week, there was at least one request that was not addressed.
On the following Monday, the site received 812 requests.
Based on this information, select the Minimum and the Maximum number of requests that could have been not addressed on that Monday. Make only two selections, one in each column.
| Minimum | Maximum | |
| 2 | ||
| 3 | ||
| 15 | ||
| 16 | ||
| 17 | ||
| 18 |
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Official Answer
Minimum: 3
Maximum: 17
04 Aug 2025, 10:23
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Official Solution:
Given that on exactly 4 out of the 7 days there was at least one request that was not addressed, those must be the 4 days with the highest request counts: 810, 820, 823, and 830. This implies that RT must be less than 810, so RT ≤ 809.
The next highest value is 795, and since it occurred on the remaining 3 days (which had all requests addressed), we know that 795 ≤ RT.
Thus, the request threshold must satisfy: 795 ≤ RT ≤ 809.
If RT = 809, then out of the 812 requests on the following Monday, only 3 would not be addressed (the minimum possible).
If RT = 795, then 812 - 795 = 17 requests would not be addressed (the maximum possible).
Correct answer:
Minimum "3"
Maximum "17"
Bunuel
Given that on exactly 4 out of the 7 days there was at least one request that was not addressed, those must be the 4 days with the highest request counts: 810, 820, 823, and 830. This implies that RT must be less than 810, so RT ≤ 809.
The next highest value is 795, and since it occurred on the remaining 3 days (which had all requests addressed), we know that 795 ≤ RT.
Thus, the request threshold must satisfy: 795 ≤ RT ≤ 809.
If RT = 809, then out of the 812 requests on the following Monday, only 3 would not be addressed (the minimum possible).
If RT = 795, then 812 - 795 = 17 requests would not be addressed (the maximum possible).
Correct answer:
Minimum "3"
Maximum "17"
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