In a zoo, there are Rabbits and Pigeons. If their heads are 90 and their legs are 224. Then the number of Pigeons in the zoo is ……………

Correct option is (B) 68

Let there are x rabbits and y pigeons in the zoo.

\(\therefore\) x+y = 90            ________(1)  \((\because\) Every rabbit and pigeon has only 1 head)

and 4x+2y = 224  ________(2)   \((\because\) Every rabbit has 4 legs and every pigeon has 2 legs)

Then from (1) and (2), we obtain

4 (90-y) + 2y = 224

\(\Rightarrow\) 360 - 4y + 2y = 224

\(\Rightarrow\) 4y - 2y = 360 - 224 = 136

\(\Rightarrow\) 2y = 136

\(\Rightarrow\) \(y=\frac{136}2=68\)

\(\therefore\) The number of pigeons in the zoo is 68.

Correct option is B) 68