Question : Directions: In a zoo, there are Rabbits and Pigeons. If heads are counted, there are 200 and if legs are counted, there are 580. How many pigeons are there?
Option 1: 90
Option 2: 100
Option 3: 110
Option 4: 120
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Correct Answer: 110
Solution :
Given:
Total number of legs = 580
Total number of heads = 200
Let the number of pigeons is X and the number of rabbits is Y.
Total number of heads = 200
⇒ X + Y = 200→(1)
We know that a rabbit has 4 legs and a pigeon has 2 legs.
⇒ 2X + 4Y = 580 or X + 2Y = 290→(2)
By solving equations (1) and (2)
X = 290 – 2Y
(290 – 2Y) + Y = 200
⇒ Y = 90
Also X + Y = 200
⇒ 90 + X = 200
⇒ X = 110
So, the number of pigeons is 110. Hence, the third option is correct.
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