How many sons does D have? I. A's father has three children. II. B is A's…
2024
How many sons does D have?
I. A's father has three children.
II. B is A's brother and son of D.
- A.
if the data in statement I alone are sufficient to answer the question
- B.
if the data in statement II alone are sufficient answer the question
- C.
if the data either in I or II alone are sufficient to answer the question
- D.
if the data even in both the statements together are not sufficient to answer the question
Attempted by 147 students.
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Correct answer: D
Answer: Both statements together are not sufficient to determine how many sons D has.
Reasoning:
From statement II: B is a son of D and B is A's brother. This guarantees at least one son of D (B), but it does not tell us how many other sons D may have.
From statement I: A's father has three children. By itself this does not mention D, so it cannot tell us anything about D's children.
Combining the statements: If A and B share the same father and that father is D, then D would have three children. Even in that case, the genders of those three children are not specified: only B is known to be male. The other two children could be male or female, so the number of sons could be 1, 2, or 3.
Also, if A and B are half-siblings with different fathers, A's father need not be D, so statement I would not link to D at all. Either way, the information does not uniquely determine how many sons D has.