Question

There are some cows, bulls and 45 hens in a group One care taker looks after 15 animals The number of bulls is twice the number of cows If the number of heads is less than the total number of feet by 186 (including the care taker), how many care takers are there?

• A. 8
• B. 5
• C. 9
• D. 6

Answer 1

Answer: (D)

6

Suppose, number of cows are C, number of bulls are B, number of hens are H and number of care takers are A.
Given, total number of hens are 45 $\therefore$ H = 45.
Number of bulls is twice the number of cows $\therefore$ B = 2C
One care taker looks after 15 animals $\therefore$ total number of animals should be divisible by 15.
(4C + 4B + 45 x 2 + 2A) - (C + B + 45 +A) = 186
$\therefore$ 9C + A = 141
On calculating the equations, the total number of animals would be 90 and total number of care takers required would be 6. Hence, correct answer is (D).