Who is Taller?

$Rony > Joy$

$Rony > John$

We don't know whether $Joy > John$ or $John > Joy$ or even $Joy = John$

And there's no further detail so it's impossible to determine.

If we represent this by inequalities it may be easy.

According to the question,

Rony is taller than Joy

Rony > Joy

John is shorter than Rony

OR

Rony is taller than John

Rony > John

Combining Both

$\boxed{**John < Rony > Joy**}$

This tells nothing about John and Joy's height. It just says Rony is taller than both John and Joy.

Finally, our answer is impossible to determine.

Let's approach this problem with a deeper thought. We were given these two statements: Rony is taller than Joy. John is shorter than Rony. However, we do not know the 'standards' of the statement. It could be referring to other parts of the body instead of the whole body itself. It could be the hand! The head! The neck! The feet! The nails, but nails are not measured by it's height, so it's ruled out. It could be the eyebrows! See? People could be led to understand the problem differently. Without a certain standard of what is 'tall', then we could not possibly determine the height of those three people, even with comparison itself.

Now, let's try to tackle this problem from another approach.

What if the statement is trying to hide some important facts needed by encoding those information into certain words like "Rony is taller than Joy." Another question to ponder: why did the statement use the name 'Rony', 'Joy', and 'John'? It could be a puzzle. It could be an encoded message to an information waiting to be decoded.

Finally, let's go to our final possible method.

Rony is taller than Joy. John is shorter than Rony, which simply implies that Rony is taller than John. Hence Rony is taller than Joy and John. In mathematical notation, $Rony>Joy$ and $Rony>John$ , Combine both comparison and we get, $John<$ $Rony$ $>Joy$

Note that Joy could be taller than John and John could be taller than Joy.

Hence, we cannot determine who's taller. The information is insufficient.

(lol)

Rony is the tallest, that is the only definite conclusion that can be determined.
John and Joy are shorter than Rony but a comparison between the two cannot be made.

If Rony is taller than Joy and John is shorter than Rony, then there can be two cases as follows:
i) John is taller than Joy
ii) John is shorter than Rony

So we need some more information about Joy or John to judge whether Joy is taller than John or John is taller than Joy. i hope this helps the reader :)

We know Rony is the tallest, but we don't know how to compare John and Joy's heights. So the answer is Impossible to tell whether John or Joy is taller .

It is impossible to tell, because in the problem statement, the heights of Joy and John was not compared. The problem statement only tells that Rony is taller than Joy and also taller that John.

Rony is taller than both of them.but no statement to compared between Joy and John...

Rony > john Joy < Rony We can't say john< joy or joy < john with the previous hints