Explanation:

- We have six people: A, B, C, D, E, and F with different heights.

- B is taller than only C, so B and C are the shortest.

- A has less height than F, so F is taller than A.

- F is less height than E, so E is taller than F.

- Two people are between D and A. So D could be the tallest.

- E is 20 cm taller than A.

- The third lowest height is 140 cm.

Now, let's consider the options:

- Option 1: 166 cm

- Option 2: 170 cm

- Option 3: 156 cm

- Option 4: 139 cm

- Option 5: 125 cm

The possible height of F is likely 156 cm as it fits with relative positions and height differences.