  The authors prove that a local $n$-quasigroup defined by the equation x_{n+1}
= F (x_1, ..., x_n) = [f_1 (x_1) + ... + f_n (x_n)]/[x_1 + ... + x_n], where
f_i (x_i), i, j = 1, ..., n, are arbitrary functions, is irreducible if and
only if any two functions f_i (x_i) and f_j (x_j), i \neq j, are not both
linear homogeneous, or these functions are linear homogeneous but f_i (x_i)/x_i
\neq f_j (x_j)/x_j. This gives a solution of Belousov's problem to construct
examples of irreducible $n$-quasigroups for any n \geq 3.
