\[\begin{array}{|c|c|c|} \hline 15 & 225 & 30 \\ \hline 7 & 70 & 20 \\ \hline 3 & ? & 8 \\ \hline \end{array} \]
Row-wise rule: The middle entry of each row equals \(\dfrac{\text{left} \times \text{right}}{2}\). \[ \begin{aligned} &\text{Row 1: } \frac{15 \times 30}{2} = 225 \quad \checkmark &\text{Row 2: } \frac{7 \times 20}{2} = 70 \quad \checkmark &\text{Row 3: } \frac{3 \times 8}{2} = 12. \end{aligned} \] \[ \boxed{12} \]
A, B, C, D, E, F and G are travelling in three different vehicles: Swift, Creta, and Nexon. There are at least two passengers in each vehicle. Among them, only two are male. There are two engineers, two doctors and three teachers.
(i) C is a lady doctor and she does not travel with A and F, who are sisters.
(ii) B, a male engineer, travels with only G, a teacher, in a Swift.
(iii) D is a male doctor.
(iv) Two persons belonging to the same profession do not travel in the same vehicle.
(v) A is not an engineer and travels in a Creta.
(vi) The pair of sisters A and F travels in the same vehicle.
What is the profession of F?