First of all, weight is a force typically measured in Newtons. So right away, you can eliminate 35 kg and 343 kg from the given choices.
The object's weight F on Venus as given by the universal law of gravitation is
F = G (35 kg) (4.87 x 10²⁴ kg) / (6.05 x 10⁶ m)²
where G = 6.67 x 10⁻¹¹ N•m²/kg² is the gravitational constant. You would find the weight of the object to be
F ≈ 310.8 N
so the closest answer is 311 N.