Hi karthikpandian19:

The correct answer should be A. Let me explain:

We are given, numbers for hens, cows, sheep and pigs. We need to find no. of pigs at the end of 2005, after adding 22 new animals.

1) We are given that cows/pigs and hens/sheep ratio remains the same after the new animals came.

Cows/Pigs=12/14 = 6:7, to maintain this ratio we can only add animals in multiples of (6+7=13).
The only possibility is 0 or 13 animals to be added to this group since the higher multiples of 13 (such as 26, 39) are greater than 22.
For the other group, Hens/Sheep = 24/30=4:5, by the same logic, there can be added only the following new animals: 0, 9, or 18.
Of these options only 9+13 =22 gives the correct answer. Hence we know there were 7 pigs added. SUFFICIENT.

2) Here we are told hat sheep increased by 1/6. Hence new number of sheep = 7/6*30=35. But we know nothing about how the rest of animals are distributed. INSUFFICIENT.

Hence the final answer is A.

Let me know if this helps

OA is A