Correct Answer - Option 1 : 12
Given that,
Number of ducks = 48
Number of goats = 42
Number of cows = 10
Let number of attendants = a
Each one has 1 head.
Number of feet of duck = 2
Total number of feet of 48 ducks = 48 × 2 = 96
Number of feet of a goat = 4
Total number of feet of 42 goats = 42 × 4 = 168
Number of feet of a cow = 4
Total number of feet of 10 cows = 10 × 4 = 40
Number of feet of an attendant = 2
Total number of feet of "a" attendants = 2a
Total heads = 48 + 42 + 10 + a
= 90 + 10 + a
= 100 + a
Total feet = 96 + 168 + 40 + 2a
= 264 + 40 + 2a
= 304 + 2a
According to given condition,
Total number of feet = Total number of heads + 216
(304 + 2a) = (100 + a) +216
304 + 2a = 100 + a + 216
304 + 2a = 316 + a
2a - a = 316 - 304
a = 12.
Therefore, total number of attendants = 12.
Hence, the correct answer is "12".
