# If Hosnani and Kallin are scheduled for the same day, which one of the following could be true?

btlev on July 21, 2020

I am having trouble diagramming

Hi can you please explain how you found the answer? Maybe a diagram?

SamA on July 23, 2020

Hello @btlev,

H and K must occur on the same day, with H in the morning and K in the afternoon. There are three options for this, so I will test them.

PM K J/ G
AM H J/L L/
W T F

If H and K are on Wednesday, this forces G to be on Friday. No matter how we arrange them, J and L will be between G and K, in violation of the third rule. This setup is not going to work.

PM _ K _
AM _ H
W T F

H and K together on Thursday will not work either. It won't allow J to be the day before G. Ideally, you could see this coming and not spend time on a diagram. However, it is faster to sketch some quick diagrams than to stare at the page and think about it.

The only option will be H and K on Friday. G would have to be on Thursday afternoon to be near enough to K. At this point, anything goes as long as L is in the morning.

PM _ G K
AM _ _ H
W T F

C is the only possible answer choice. Just by inferring that H and K are on Friday, we can eliminate every other answer choice.