Solving the Friends' Height Comparison

This problem involves comparing the heights of five friends based on the given clues to determine who is the tallest.

Understanding the Height Relationships

We are given the following information about the heights of Prakash, Qadir, Ramesh, Saurabh, and Tariq:

• Ramesh is taller than Qadir. We can write this as: Ramesh > Qadir.
• Ramesh is shorter than Saurabh. This means Saurabh is taller than Ramesh. We can write this as: Saurabh > Ramesh.
• Prakash is the shortest among all five friends.
• Tariq is taller than Saurabh. We can write this as: Tariq > Saurabh.

Combining the Information to Find the Tallest Friend

Let's combine the height comparisons step-by-step:

1. From the first two points, we have Saurabh > Ramesh and Ramesh > Qadir. This means Saurabh is also taller than Qadir. We can string these together: Saurabh > Ramesh > Qadir.
2. We are told that Tariq is taller than Saurabh: Tariq > Saurabh.
3. Combining this with the previous step, we get: Tariq > Saurabh > Ramesh > Qadir.
4. Finally, we know Prakash is the shortest. So, Prakash is shorter than Qadir, Ramesh, Saurabh, and Tariq.

Putting it all together, the order of heights from tallest to shortest is:

Tariq > Saurabh > Ramesh > Qadir > Prakash

Using mathematical notation for height, let $H_X$ be the height of person $X$:

• $H_{\text{Ramesh}} > H_{\text{Qadir}}$
• $H_{\text{Saurabh}} > H_{\text{Ramesh}}$
• $H_{\text{Tariq}} > H_{\text{Saurabh}}$
• $H_{\text{Prakash}}$ is the minimum height.

From these inequalities, we can deduce the order:

• $H_{\text{Tariq}} > H_{\text{Saurabh}}$
• $H_{\text{Saurabh}} > H_{\text{Ramesh}}$
• $H_{\text{Ramesh}} > H_{\text{Qadir}}$
• $H_{\text{Qadir}} > H_{\text{Prakash}}$ (since Prakash is the shortest)

Thus, the complete order from tallest to shortest is:

$H_{\text{Tariq}} > H_{\text{Saurabh}} > H_{\text{Ramesh}} > H_{\text{Qadir}} > H_{\text{Prakash}}$

Based on this order, the person with the maximum height is Tariq.

Conclusion: Who is the Tallest?

By analyzing the given clues and establishing the height order, we can clearly see that Tariq is taller than everyone else mentioned.

Therefore, Tariq is the tallest among them.

Revision Table: Height Comparison Summary

Additional Information: Logical Reasoning and Ordering Problems

This type of question is a common example of a logical reasoning problem, specifically an ordering or ranking problem. These problems require you to deduce the relative positions or ranks of items or people based on a set of comparative statements.

Key strategies for solving such problems include:

• Identifying the elements being compared (in this case, friends).
• Identifying the attribute being compared (in this case, height).
• Representing the relationships using symbols (like >, <, or =).
• Combining the individual relationships to form a complete or partial order.
• Drawing a diagram or writing down the inequalities can help visualize the relationships and avoid confusion.

Mastering ordering problems improves analytical skills and is useful in various standardized tests and real-life situations requiring deductive reasoning.