The question below consists of a question and two statements numbered I and II…
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The question below 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 are sufficient to answer the question. Read both the statements and give answer.
How many sons does Dolly have?
Statements:
I. Ankitha's father has three children.
II. Bobby is Ankitha's brother and son of Dolly.
- A.
I alone is sufficient while II alone is not sufficient.
- B.
II alone is sufficient while I alone is not sufficient.
- C.
Either I or II is sufficient.
- D.
Neither I nor II is sufficient.
Attempted by 168 students.
Show answer & explanation
Correct answer: D
Conclusion: Neither statement alone nor both together are sufficient to determine how many sons Dolly has.
Statement I: Ankitha's father has three children. This statement does not mention Dolly, so it gives no information about how many sons Dolly has.
Statement II: Bobby is Ankitha's brother and son of Dolly. This tells us Dolly has at least one son (Bobby) but does not give the total number of sons.
Both statements together: Even combined, the statements do not fix the number of Dolly's sons because different scenarios are possible.
Scenario 1: Bobby and Ankitha are both children of Dolly, and Ankitha's father is the same person as Dolly. Then statement I implies Dolly (as Ankitha's father) has three children, but the genders of the other children are unknown, so Dolly could have 1, 2, or 3 sons.
Scenario 2: Bobby is a child of Dolly, but Ankitha's father is a different person (they could be half-siblings through their mother). Then statement I refers to Ankitha's father and says nothing about Dolly's children, so Dolly might have only one son (Bobby).
Because these different, logically possible scenarios imply different numbers of sons for Dolly, the available information is insufficient to determine the exact number of Dolly's sons.