Information given:- 16 tagged animals were grouped into 8 pairs (with a pair consisting of 2 tagged animals)
- There are 2 tracking sessions in total
- Of the animals that were subordinate in session 1, 5 were also subordinate in session 2
Question:- How many animals were dominant in both sessions?
Solution:- Total animals: 16, each session has 8 pairs, so 8 dominants + 8 subordinates
- In session 1: 8 subordinates, of which 5 stayed subordinate, so 8 - 5 = 3 switched to dominant
- From the 8 dominants in session 1, x stayed dominant and (8-x) switched to subordinate
- Total amount of dominants in session 2 must be 8
- Session 2 dominants = (dominants who stayed dominant) + (subordinates who switched to dominant)
- x + 3 = 8
- x = 5
- So, 5 animals were dominant in both sessions.
Answer: D, 5Bunuel
At a wildlife reserve, two tracking sessions were conducted to study 16 tagged animals. In each session, the animals were randomly grouped into 8 pairs, and in each pair, one animal was observed as dominant and the other as subordinate. Of the animals that were subordinate in the first session, 5 were also subordinate in the second session. How many animals were dominant in both sessions?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6