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  1. In a farm there are cows and hens. If heads are counted they are 180, if legs are counted they are 420. The number of cows in the farm is
    1. 130
    2. 150
    3. 50
    4. 30
Correct Option: D

A cow and a hen each has a head.
If the total number of cows be N, then
Number of hens = 180 – N
A cow has four legs and a hen has two legs.
∴  (180 – N) × 2 + 4N = 420
⇒  360 – 2N + 4N = 420
⇒  2N = 420 – 360 = 60

⇒  N =
60
= 30
2



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