Step 1: Start from the definition of BMI as a weight-for-height ratio, \[BMI = \frac{\text{weight in kg}}{(\text{height in m})^{2}}.\] Standard cut-offs are: underweight below 18.5, normal 18.5 to 24.9, pre-obesity 25 to 29.9, and obesity 30 or more.
Step 2: The question asks for the extreme low value incompatible with life in men. The accepted lethal lower limit of BMI for men is 13; at this point lean and fat mass are critically depleted. Hence 13 is the answer.
Step 3: Knock out the rest. A value of 18 simply borders the underweight category and is survivable. A value of 12 lies below the male lethal figure and is in the range women may tolerate (down to around 11). A value of 14 is higher than the male lethal threshold, so it is not the lethal value asked for.
\[\boxed{\text{BMI = 13}}\]