Question

Seven persons - G, H, I, K, L, M, and P - are going rock climbing together. One person will be the organizer and not a member of any team. The remaining six will form three climbing teams, each consisting of two persons. No person can be on more than one team. The following conditions also apply:

Conditions:

L and M are on the same team if G and H are on different teams.
P and G are on different teams if I and K are on the same team.
If L is on a team, then so is I.
Who can be the organizer?
a) G
b) H
c) K
d) P

Answer 1

Upon analyzing the given conditions, (c) K can be the organizer for the rock climbing teams because K's involvement doesn't affect how the other teams are formed according to the conditions provided.

Step-by-step explanation:

To determine who can be the organizer in the rock climbing scenario, we need to carefully analyze the conditions given and apply logical deduction.

Here are the given conditions restated:

• 
  
• If G and H are on different teams, then L and M are on the same team.
• 
  
• If I and K are on the same team, then P and G are on different teams.
• 
  
• If L is on a team, then so is I.

First, let's address the condition involving G and H. Since they can't be on the same team, we can pair L and M together as per the first condition. Given that L is now on a team, the third condition tells us that I must also be on a team. However, since there is no specific requirement for I to be on the same team as L, they could be part of different teams. Now, if we consider that K might be the organizer, according to the second condition, K not being in a team means that I and K cannot be on the same team, which doesn't provide any required pairing. This implies that whether K is or isn't in a team doesn't affect the team arrangements. Therefore, K can be the organizer, as K's involvement in a team is not a condition that affects the setup of any other teams.