1 vote

In a running race, Geetha finishes ahead of Shalini and Vani finishes after Aparna. Divya finishes ahead of Aparna. Which of the following is a minimal set of additional information that can determine the winner?

- Geetha finishes ahead of Divya and Vani finishes ahead of Shalini.
- Aparna finishes ahead of Shalini.
- Divya finishes ahead of Geetha.
- None of the above.

1 vote

Geeta finishes ahead of Shalini i.e. $Shalini \rightarrow Geeta$ ....$(i)$

Vaani finishes after Aparna i.e $Vaani \rightarrow Aparna$ .............$(ii)$

Divya finishes ahead of Aparna i.e. $Aparna \rightarrow Divya$.......$(iii)$

from $(ii)$ and $(iii)$

$Vaani \rightarrow Aparna \rightarrow Divya$ .

So the winner can be either $Geeta$ or $Divya$

In option $C$ it is given Geeta finishes ahead of Divya i.e. $Divya \rightarrow Geeta$

So Geeta will be the winner.

Hence option $C$ is correct.

We will not use option $A$ as it is mentioned that we need to take minimal set of information to determine the winner.

Vaani finishes after Aparna i.e $Vaani \rightarrow Aparna$ .............$(ii)$

Divya finishes ahead of Aparna i.e. $Aparna \rightarrow Divya$.......$(iii)$

from $(ii)$ and $(iii)$

$Vaani \rightarrow Aparna \rightarrow Divya$ .

So the winner can be either $Geeta$ or $Divya$

In option $C$ it is given Geeta finishes ahead of Divya i.e. $Divya \rightarrow Geeta$

So Geeta will be the winner.

Hence option $C$ is correct.

We will not use option $A$ as it is mentioned that we need to take minimal set of information to determine the winner.