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Bunuel
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


 


This question was provided by GMAT Club
for the GMAT Club Olympics Competition

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Session 1:
sub- a, b, c, d, e, f, g, h (Bold is sub in next session too)
dom- i, j, k, l, m, n, o, p

Session 2:
sub- a, b, c, d, e, n ,o, p
dom- i, j, k, l, m, f, g, h

i, j, k, l, m are dom in both sessions. therefore, 5 (D)
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bb kudos is pending


Elite097
You have 16 animals.
In each session, the animals are grouped into 8 pairs, so:
• 8 animals are dominant
• 8 animals are subordinate

This happens in both sessions.



Now let’s categorize animals based on their status in both sessions:

Let’s define:
• x = number of animals who were dominant in both sessions → this is what we’re solving for
• y = dominant in session 1, subordinate in session 2
• z = subordinate in session 1, dominant in session 2
• 5 animals were subordinate in both sessions (this is given)

Now use the following facts:
1. In session 1, total dominants = x + y = 8
2. In session 1, total subordinates = z + 5 = 8 → so z = 3
3. In session 2, total dominants = x + z = 8 → substitute z = 3 → x = 5



✅ Final Answer:
Option D
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bb kudos is pending


Elite097
You have 16 animals.
In each session, the animals are grouped into 8 pairs, so:
• 8 animals are dominant
• 8 animals are subordinate

This happens in both sessions.



Now let’s categorize animals based on their status in both sessions:

Let’s define:
• x = number of animals who were dominant in both sessions → this is what we’re solving for
• y = dominant in session 1, subordinate in session 2
• z = subordinate in session 1, dominant in session 2
• 5 animals were subordinate in both sessions (this is given)

Now use the following facts:
1. In session 1, total dominants = x + y = 8
2. In session 1, total subordinates = z + 5 = 8 → so z = 3
3. In session 2, total dominants = x + z = 8 → substitute z = 3 → x = 5



✅ Final Answer:
Option D

Your recent responses were flagged as AI-generated. As per the competition rules, solutions created using AI tools like ChatGPT are not eligible for kudos (https://gmatclub.com/forum/gmat-club-ol ... l#p3589148). Please make sure all submissions are your own work.

Thank you for understating.
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Very simple, start by observing in the both sessions, there will be 8 dominant and 8 submissive. now let's go one by one. We know in first session there will be 8 submissive. and out of those 8 in second session 5 is again submissive. we can conclude that in the second session out of 8 submissive 5 were the same from first session and 3 were new submissive. There total subs are 8+3=11 thus dominant = 16-11=5
Bunuel
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


 


This question was provided by GMAT Club
for the GMAT Club Olympics Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 

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