The question below is followed by three statements numbered I, II and III. Decide which of the statements are sufficient to answer the question.
How many daughters does Q have?
I. R’s father S is the husband of Q.
II. Out of the three children S has, only one is a boy.
III. M and N are sisters of R.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → Only I and II are sufficient to answer the question.
The number of Q’s daughters can be found if we know that S’s children are Q’s children and how many of those children are girls.
I: S is R’s father and Q’s husband, so Q is R’s mother, and S’s children are Q’s children
II: S has three children, of whom only one is a boy, so two are girls
I and II together: Q has 2 daughters: sufficient
I and III: M and N are girls, but R’s gender and the number of other children are unknown: not sufficient
II and III: without I, nothing links Q to S’s family: not sufficient
Statement III is not needed, so only I and II are sufficient.