Radha is younger than Sunita but elder than Rita. Rita is elder than Geeta.…

A ranking or ordering puzzle expresses relative age through comparative statements such as 'X is elder/younger than Y'. Each statement fixes a directed link between two people on a single age scale; to find an extreme member (youngest or eldest), every link that shares a common person must be merged into one continuous chain, and the position of interest is then read off that merged chain.

1. 'Radha is younger than Sunita' gives Sunita above Radha (Sunita > Radha).

2. '...but elder than Rita' gives Radha above Rita (Radha > Rita).

3. 'Rita is elder than Geeta' gives Rita above Geeta (Rita > Geeta).

4. 'Shyam is elder than Rita' gives Shyam above Rita (Shyam > Rita).

5. '...but younger than Radha' gives Radha above Shyam (Radha > Shyam).

6. Merging every link that shares a name into one chain: Sunita > Radha > Shyam > Rita > Geeta.

Checking each original statement against this merged chain: Radha lies between Sunita and Rita (holds); Rita lies above Geeta (holds); Shyam lies between Radha and Rita (holds) - all three given statements are satisfied, confirming the chain is correct.

The last person in the merged chain, at the lowest end of the age scale, is Geeta, so Geeta is the youngest of all.