Step 1: Understanding the Concept
A secondary (2 degree) carbon is attached to exactly two other carbon atoms.
Step 2: Count in each option
Cyclohexane has six secondary ring carbons. In 1-ethyl-2,3,4-trimethylcyclohexane, ring carbons 5 and 6 and the CH2 of the ethyl group are secondary, giving three. In 2,4-dimethylheptane, carbons 3, 5 and 6 are secondary, giving three.
Step 3: Tetramethylcyclohexane
In 1,2,3,4-tetramethylcyclohexane, ring carbons 1 to 4 carry methyl groups and are tertiary. Only ring carbons 5 and 6 are secondary, so there are two.
Step 4: Compare the options
The second option has exactly two secondary carbons.
Final Answer:
1,2,3,4-Tetramethylcyclohexane has exactly two secondary carbon atoms.
\[ \boxed{\text{(B) }\text{1,2,3,4-Tetramethylcyclohexane}} \]