This question consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements sufficient to answer the question. Read both the statements and give answer.
How is M related to N?
I. M's mother is married to O.
II. N is the son of O, who has two sons, but no daughter.

If the data in both Statement I and Statement II together are sufficient to answer the question, but neither statement alone is sufficient.

The correct answer is Option 3: If the data in both Statement I and Statement II together are sufficient to answer the question, but neither statement alone is sufficient.

Statement I alone: This tells us that M's mother is married to O, which implies O is likely M's father. However, this statement alone gives no information about N or how M and N might be related. Therefore, Statement I alone is insufficient to answer the question.

Statement II alone: This states that N is the son of O, who has two sons but no daughters. This informs us about N's relationship with O and the fact that O has exactly two sons. However, Statement II does not mention M or provide any information about M’s relationship with O or N. Without knowing that M is O’s child, we cannot determine how M and N are related based on this statement alone. Therefore, Statement II alone is insufficient to answer the question.

Combining Statements I and II: From Statement I, we know M’s mother is married to O, meaning M is O’s child. From Statement II, we know O has two sons and no daughters, and N is one of those sons. Since O has exactly two sons and no daughters, and M is O’s child, M must be the other son. Therefore, M and N are brothers.

Conclusion: Neither Statement I nor Statement II alone provides sufficient data to determine the relationship between M and N. However, when combined, the two statements clearly show that M and N are brothers.