A group of ducks and goats is in a place. The total number of legs is 16 more than twice the total number of heads. How many goats are there?

A group of ducks and goats is in a place. The total number of legs is 16 more than twice the total number of heads. How many goats are there?

  1. ক) 4
  2. খ) 8
  3. গ) 12
  4. ঘ) 16

From the BPDB Assistant Engineer (CSE) October 2026 – Written (BUET) exam, question 2 of 30.

Comments (1)

Answer: খ. 8

Let ducks = d, goats = g. Ducks have 2 legs, goats 4; every animal has 1 head.

\(2d + 4g = 2(d + g) + 16 \;\Rightarrow\; 2g = 16 \;\Rightarrow\; g = 8\)

Shortcut: "twice the heads" counts 2 legs for every animal; the extra 16 legs come only from goats, 2 extra each, so 16 ÷ 2 = 8 goats. The number of ducks does not matter.

— rhs

More from this paper