There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there?

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OPSC ASO (Maths & Reasoning) 27 Aug 2022 Official Paper
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  1. 20
  2. 30
  3. 50
  4. 60

Answer (Detailed Solution Below)

Option 4 : 60
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Detailed Solution

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Given:There are deer and peacocks in a zoo. By counting their heads, total number is 80. The total number of their legs is 200.

Formula used:

Let the number of deer be D and the number of peacocks be P.

D + P = 80

4D + 2P = 200

Calculation:

D + P = 80

⇒ P = 80 - D

4D + 2P = 200

⇒ 4D + 2(80 - D) = 200

⇒ 4D + 160 - 2D = 200

⇒ 2D = 40

⇒ D = 20

P = 80 - D

⇒ P = 80 - 20

⇒ P = 60

Hence, "Option 4" is the correct answer.

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