Question

Each of exactly six doctors - Juarez, Kudrow, Longtree, Nance, Onawa, and Palermo - is at exactly one of two clinics: Souderton or Randsborough. The following conditions must be satisfied:

Conditions:

If Juarez is at Souderton, then Kudrow is at Randsborough.
If Nance is at Souderton, then Palermo is also at Souderton.
Longtree and Onawa cannot be at the same clinic.
Who can be at Randsborough?
a) Juarez and Longtree
b) Kudrow and Nance
c) Onawa and Palermo
d) Juarez and Onawa

Answer 1

Juarez and Longtree can be at Randsborough.

Step-by-step explanation:

In this problem, we are given six doctors - Juarez, Kudrow, Longtree, Nance, Onawa, and Palermo - and two clinics: Souderton and Randsborough. We have three conditions that need to be satisfied:

1. If Juarez is at Souderton, then Kudrow is at Randsborough.
2. If Nance is at Souderton, then Palermo is also at Souderton.
3. Longtree and Onawa cannot be at the same clinic.

To determine who can be at Randsborough, we can consider each doctor one by one:

• If Juarez is at Randsborough, then Kudrow must be at Souderton. This satisfies the first condition.
• If Nance is at Randsborough, then Palermo must also be at Randsborough. However, we know from the second condition that if Nance is at Souderton, then Palermo is at Souderton. So Nance cannot be at Randsborough.
• Longtree and Onawa cannot be at the same clinic, so if Longtree is at Randsborough, then Onawa must be at Souderton.

From the above analysis, we can see that Juarez and Longtree can be at Randsborough. Therefore, option (a) Juarez and Longtree is correct.