- The Engineer is the son of the Accountant.
- The Accountant is not a blood relative of the Doctor.
- Therefore, the Accountant must be either the wife or the son (since the mother and Raj are blood relatives).
- The Lawyer is a blood relative of the Doctor.
- If the Doctor is Raj, then the Lawyer must be the mother or the son.
- But if Doctor = Raj, the Accountant would have to be the wife, and the Engineer = son of Accountant — this creates conflicts with the given constraints.
From the analysis, both Mr. Raj and Mr. Raj's son can never be the Doctor.
\[ \boxed{\text{Both A and C}} \]
Disregard commonly known facts. Which conclusion would follow on the basis of given statements only?
Statement (I): Some bottles are car. Some cars are cycle.
Conclusion: \[\begin{array}{rl} \bullet & \text{[(I)] Some bottles are cycle is a possibility.} \\ \bullet & \text{[(II)] All bottles are cycle.} \\ \end{array}\]
When $10^{100}$ is divided by 7, the remainder is ?