Making deductions 2 Quiz Q#1

I’m having trouble with this question:

I dont think I understand the part of the question that says "It can be shown that if there are between p and q workers (both inclusive) in the company, the number of employees in the company can be uniquely determined.

Can someone help me understand what this means?

If you bound it appropriately between p and q, then you can only have one answer to the “number of employees”. You have to find those values

Hello. I’m still stuck on this question. If anyone can offer help on how to solve this, that’d be greatly appreciated.

Share your approach first?

I dont think I fully understood the question. But I first started thinking that because the ratio is 2:5 then 2x + 5x = 7x so the total number of workers should be a multiple of 7.

And from here, I am stuck.

Fine. What could be two possible values of the number of employees in the company? What would be the number of workers and managers in those cases?

It could be

number of managers: 2, number of workers: 5 = total 7
or
number of managers: 14, number of workers: 35 = total 49

the possibilities are endless it seems like.

Am i on the right track?

Let’s explore this further. What is the second smallest value of the total number of workers possible? Can we extend this to solve the problem?

The second smallest value of total number of workers is 14. It increase by 7.

The number of workers is infinite…and it seems like q-p is always increasing.

I think that’s where I’m stuck.

Would it be helpful if we made a video for this one? Seems to be one a lot of students get stuck with @Leaderboard

Go for it.

Well, 14 is the total number of employees, and 10 is the number of workers.

So, suppose you are told that there are between 4 and 7 workers. What is the number of workers?

@hiiie28

Does this video clear up your doubts?

https://www.prepswift.com/content/prepswift-making-deductions-2-exercise-solutions

Yes! Thank you so much for explaining it in a video!

Your video was very thoroughly explained so I understood it right away :slight_smile: Thanks again Ganesh!

1 Like