An engineering firm is organized so that each of its T team leaders ma

We know the number of designers is going to be a multiple of 4.

We also can quickly deduce that the number of team leaders is either 3 or 4 as all other values will give too many developers for even the greatest answer choice.
Example, If T = 18 --> no. P managers = 4x18 = 72 --> min no. developers = 144 (as stem mentions developers in plural).

If we pick T = 3, then D will be a multiple of 12. Scan through RH column and you will find there to be no such multiple.

We then pick T = 4, no. managers = 4x4 = 16, scanning through RH column for any multiple of 16 we find 112.

T = 4
D = 112

Cellchat

Thanks for posting a clear response! I work in Business myself & my mind went automatically to one of my managers that manages 4 employees.

In this case, in order for this problem to work properly in my head, I imagined that since there are 4 Project Manager's, there must be a minimum of 4 Team leaderS because it's plural in the problem & not singular.

My question is, how can I steer away from thinking of a conventional business model where a manager can manage 4 individuals at once or 2 managers can manage 4 individuals (each two)?

sssaniaa
Even I made the same mistake but the point to be noted is that EACH OF the team leader is managing P project managers and each of P project managers are managing D designers.
My approach :
It is quite clear that D has to be a multiple of 4, so with that we can eliminate a few numbers. Now let us assign a number for the Team Leaders. Starting with 3, if there 3 TL, then we would have 3*4 PM which is 12PM. If the number of Pm is 12, the the number of D will have to be a multiple of 12 and we clearly do not have a multiple of 12 in the options
Moving onto 4TL, we will have 16 PM and that means the number of D has to be a multiple of 16. 112 is the only multiple of 16, so the answer is 4 and 112 respectively
Hope this helps

Total number of team leaders= T
Total number of project managers= T*P (since each team leader manager P project managers)
Total number of designers= T*P*D (since each project manager manages D designers)
P=4
Q: T*P*D? and T?
T*P*D will be some multiple of 4. Total number of designers can be 4, 52 or 112.
So T*D can be 1, 13, or 28. Values of T can be 1,13,28,4,7,2,14. From the options we can see only 4 is present. So T=4, then T*P*D=112