Javier rates his work readiness on a scale from 0 to 10, with 10 being

Not sure how to respond back to this question as this is first time I am answering:
# of snooze: 4. That means Javier will wake up@ 6:16 with readiness = 9. Leaves@ 6:40, means he will take 24 mins to get ready hence no more decrease in his readiness.

Hi

Please refer to the following diagrammatic depiction of the problem:



We can see that he presses the 3rd snooze at 6:08. At 6:12, when he presses the snooze button for the 4th time, his readiness will decrease by 1 unit (from the initial value of 10). When the alarm will buzz again at 6:16, he will get up, get ready in 24 minutes (thereby losing no points) and leave at 6:40.

So, total number of snoozes= 4
His Readiness for work = 10-1 = 9

I got the same results as those in the table. But my confusion lies in multiple options available. Why rule out the pair of 3 & 5 or 5 & 8?

A few key points:

1. We need to select for Rating the greatest work - readiness rating that Java can achieve.
So, I want to maximize this value. Preparing for more than 25 or less than 10 minutes will incur a significant penalty of 5 points. I want to avoid that.

Starting point: Ensure Javier prepares for 10 - 25 minutes. 

2. Each snooze delays the alarm by 4 minutes. Also, pressing the snooze button more than three times will also impact the efficiency rating. I want to keep the number of snoozes as close to 3 as possible.

3. During the 40 minutes, Javier's only activities are sleeping or preparing for work. (He doesn't even brush his teeth???)

Combining these points, I'd like to keep Javier's preparation time as close to 25 as I can to minimize the number of snoozes. So, Javier needs to sleep for at least an additional 15 minutes (40 - 25 = 15). That means Javier would need to hit the snooze button 4 times. Pressing the button 3 times would mean that Javier spends 3 x 4 = 12 additional minutes sleeping. That'd mean he prepares for 40 - 12 = 28 minutes. Since these are the only two things he can do in these 40 minutes. So, Javier would need to press the snooze button 4 times for a total of 4 x 4 = 16 minutes so he can prepare for 40 - 16 = 24 minutes.

This way he'd lose 1 point on the rating scale (for the fourth snooze).

Answer:
Rating: 9
Snoozes: 4

­We can PLUG IN THE ANSWERS, which represent the number of snoozes and the resulting rating.
The number of snoozes is almost certain to be among the three smallest answer choices, while the greatest possible rating is almost certain to be among the three greatest answer choices.

Perfect rating = 10
For every snooze beyond the third, a loss of 1 point is incurred.
Each snooze reduces the 40-minute preparation window by 4 minutes.
If the time left to prepare is less than 10 minutes or more than 25 minutes, a loss of 5 points is incurred.

Onto the answer choices:

Snoozes = 3 --> 3*4 = 12 extra minutes of sleep --> remaining preparation time = 40-12 = 28 minutes
Point loss because of snoozes beyond the third = 0
Point loss due to preparation time = 5
Resulting rating = 10-0-5 = 5

Snoozes = 4 --> 4*4 = 16 extra minutes of sleep --> remaining preparation time = 40-16 = 24 minutes
Point loss because of snoozes beyond the third = 1
Point loss due to preparation time = 0
Resulting rating = 10-1-0 = 9

9 is the greatest value among the answer choices.
Thus, the greatest possible rating = 9, resulting from 4 snoozes.