UGEE REAP Questions: How to Approach Them (Solved Examples)

We get this question almost every week from students preparing for UGEE: “What exactly are REAP questions, and how do I even prepare for them?”

Most students preparing for the University of Hyderabad’s UGEE exam are reasonably confident about the science sections. But the moment they land on REAP (Research Eligibility Aptitude Program) questions, they freeze. These aren’t your standard formula-application problems. They require you to think, and think differently. If UGEE REAP questions are giving you trouble, you’re not alone, and this guide will walk you through exactly how to handle them.

How to approach UGEE REAP questions: Quick Answer

UGEE REAP questions test scientific reasoning, estimation, and curiosity-driven thinking (not just formula recall). Approach them by identifying what’s really being asked, breaking the problem into logical steps, and applying basic physics/math reasoning to reach a defensible answer.

What Are UGEE REAP Questions, Actually?

Before getting into strategy, let’s make sure we’re on the same page about what UGEE REAP questions are testing.

The University of Hyderabad conducts UGEE (Undergraduate Entrance Examination) for admission to its integrated and undergraduate science programs. The REAP component of this exam is specifically designed to assess whether a student has the mindset and aptitude for research, not just the ability to mug up and reproduce textbook answers.

REAP questions are characterised by a few things:

• They present unusual or unexpected scenarios
• They require you to combine concepts from different areas
• They reward logical estimation over exact calculation
• They often have no single “correct” formula; you need to reason your way in
• They test whether you understand why something happens, not just that it happens

At Phodu Club, we’ve worked with students preparing for UGEE and have seen the same pattern again and again. Students who score well in JEE-style objective questions struggle with REAP because their entire preparation is built around pattern recognition, not actual reasoning. REAP is the antidote to that.

If you’re also exploring the UGEE exam more broadly, our guides on what UGEE exam is, how to prepare for UGEE, and how to crack UGEE are worth reading alongside this one.

How to Approach Any UGEE REAP Question

Before we get into solved examples, here is the four-step framework we teach students at Phodu Club for approaching UGEE REAP questions:

Step 1: Identify What Is Actually Being Asked

REAP questions often come dressed as casual curiosity. A question about soccer ball hail or radioactive bananas isn’t really asking you about those things. It’s asking you about terminal velocity, energy conversion, or radioactive decay. Your first job is to strip the question down to its physical or mathematical core.

Ask yourself: What concept is hidden inside this scenario?

Step 2: List What You Know

Write down (mentally or on paper) the physical quantities involved. What do you know about each one? What are the relationships between them? Even rough estimates are valid here. Fermi estimation, the ability to arrive at a reasonable order-of-magnitude answer using simple reasoning, is a core skill for UGEE REAP questions.

Step 3: Build a Simple Model

REAP doesn’t require complicated calculations. In fact, complicated calculations are often a sign that you’re on the wrong track. Build the simplest possible model of the situation that still captures the key physics. Ignore what you can ignore. Focus on what drives the answer.

Step 4: Check Your Answer for Physical Sense

Before committing to your answer, ask: Does this make physical sense? If your answer suggests that a comet would cool the Earth, but you know comets carry kinetic energy that converts to heat on impact, your model is wrong somewhere. Always sanity-check against intuition.

Now let’s apply this to some concrete examples.

Solved Example 1: The Comet and the Ocean

Q: Could you cool down the Earth by capturing a comet and dropping it in the ocean, like an ice cube in a glass of water?

This is a classic UGEE REAP-style question. It sounds like a fun hypothetical, but it’s testing several layers of physical reasoning simultaneously.

Step 1: What’s Really Being Asked?

At its core, this is an energy balance question. You need to compare:

• The cooling effect of adding a large mass of ice to the ocean
• The heating effects associated with getting that ice to Earth

Step 2: What Do We Know?

• Comets are largely water ice mixed with dust and some CO₂
• Objects falling toward Earth gain kinetic energy (gravitational potential energy converts to kinetic energy)
• When objects stop (impact), that kinetic energy converts to heat
• The atmosphere and oceans contain enormous amounts of stored thermal energy

Step 3: Build the Model

Let’s think about this in stages.

Stage A: The fall itself

Any object falling from space, even ice, gains kinetic energy proportional to its fall height and mass. By the time a comet reaches Earth’s surface, it has accumulated enough kinetic energy to not just melt itself but to vaporise the resulting water and heat that vapour to thousands of degrees. Small icy fragments burn up in the upper atmosphere. Large comets survive to impact and release their energy all at once. The heat released on impact is approximately 100 times greater than the energy needed to simply warm the comet to room temperature.

Stage B: What if you lowered it slowly (hypothetical crane)?

Suppose you used a hypothetical crane to lower the comet gently into the ocean. Now there’s no impact heating. What cooling effect does the comet provide?

A comet placed in the ocean would cool the water by roughly one millionth of a degree. The mass of Earth’s oceans is so enormous that even a comet, which might be several kilometres across, is negligible by comparison. Think of it this way: adding an ice cube to a swimming pool barely changes the temperature. Adding a comet to Earth’s oceans is proportionally even more futile.

Stage C: The CO₂ problem

Comets aren’t just ice. They contain CO₂ and other volatile compounds. As the comet melts, it releases CO₂ into the atmosphere. CO₂ is a greenhouse gas that traps heat. Over decades, the greenhouse warming from the comet’s CO₂ would exceed the brief cooling effect of the ice. In the long run, you’d end up with more heat, not less, equivalent to what you’d have gotten if you’d just let the comet slam into the planet.

Step 4: Sanity Check

Does the answer make sense? Yes. The cooling effect of ice is a surface phenomenon. The heating effects, both from kinetic energy and from CO₂, are structural and long-lasting. A comet “ice cube” fails because Earth isn’t a glass of water. The scale and the mechanisms are completely different.

Key Takeaway for UGEE REAP:

• Always consider all energy transformations, not just the obvious one
• Think about both short-term and long-term effects
• Scale matters enormously; intuitions from everyday objects often fail at astronomical scales
• An answer can be wrong in multiple ways simultaneously (impact heating, CO₂ effect, negligible cooling mass)

Interesting side note: If you had a magical crane to lower comets slowly, you could use the descent itself to generate electricity. One comet lowered from space could theoretically supply the world’s energy for a year. This is a bonus insight that shows excellent physical thinking in a REAP response.

Solved Example 2: Which Country Owns the Most Galaxy?

Q: If every country’s airspace extended upward forever, which country would own the largest percentage of the galaxy?

This question looks like geography or a silly thought experiment, but it’s a beautiful exercise in geometry, astronomy, and spatial reasoning.

Step 1: What’s Being Asked?

This is asking us to think about the geometry of projection. Which country, when its airspace is extended as a cone upward from its surface, would sweep through the largest volume of the galaxy?

Step 2: What Do We Know?

• Earth’s axis is tilted relative to the Milky Way galaxy
• The North Pole points generally away from the galactic centre
• This means southern hemisphere countries are better aligned with the densest, most star-rich part of the galaxy (the core)
• Countries in the southern hemisphere have a solid angle that points toward the galactic centre more often as the Earth rotates

Step 3: Build the Model

As the Earth rotates, a country’s “cone” of airspace sweeps through space. Countries in the southern hemisphere, especially those with large land areas, sweep through the galactic core over the course of each day.

The geometry works like this:

• The galactic centre is located in a direction roughly toward the southern sky
• Countries like Australia, South Africa, Brazil, Argentina, and Chile all take turns having the galactic core within their extended airspace as the Earth spins
• Australia’s extended airspace would, at its peak, cover not just the galactic core but a substantial chunk of the galactic disk
• The supermassive black hole at the galactic centre passes over Australian airspace every day, roughly near Queensland

Northern hemisphere countries aren’t left with nothing. They get the outer galactic disk, which contains interesting objects like the binary system Cygnus X-1, a black hole actively consuming a companion star. This passes through US airspace over North Carolina once per day.

Step 4: Sanity Check

This makes geometric sense. The Earth is tilted such that its northern pole points away from the galaxy’s dense regions. So southern hemisphere countries are like people lying on their backs facing the night sky, with a direct line of sight to the richest part of the galaxy.

Answer: Australia would own the largest percentage of the galaxy at its peak, including momentary ownership of the supermassive black hole at the galactic centre.

Key Takeaway for UGEE REAP:

• Geometric reasoning is a powerful tool; draw out the relative positions before calculating
• Understand Earth’s orientation in space; basic positional astronomy matters
• “At any given time” implies rotational dynamics; the answer changes throughout the day
• This question rewards students who think in 3D and understand that Earth’s axis has a fixed orientation relative to the galaxy

Solved Example 3: Soccer Ball Hail — How Dangerous?

Q: How much damage would a hailstorm with soccer ball-sized hail do?

This is a fluid dynamics and mechanics question in disguise.

Step 1: What’s Being Asked?

What is the terminal velocity of a soccer ball-sized hailstone, and what kind of damage would it cause?

Step 2: What Do We Know?

• Terminal velocity is reached when gravitational force equals drag force
• Terminal velocity scales roughly with the square root of (mass / drag area)
• A regulation soccer ball has a diameter of about 22 cm and weighs about 430 g
• A golf-ball-sized hailstone (about 4 cm diameter) has a terminal velocity of approximately 60 mph
• Scaling up in size increases mass much faster than it increases drag (mass scales with volume = radius³, while drag scales with area = radius²)

Step 3: Build the Model

Let’s estimate the terminal velocity scaling from a golf ball to a soccer ball.

The ratio of diameters is roughly 22/4 ≈ 5.5.

Terminal velocity scales approximately as:

v ∝ √(diameter) (for similarly dense objects in air)

So the soccer ball hailstone would have a terminal velocity roughly √5.5 ≈ 2.35 times that of a golf ball-sized hailstone.

60 mph × 2.35 ≈ 140 mph

That’s approximately the speed of a major league baseball pitch, but with an object weighing over 400 grams.

What would 140 mph hail do?

Object Hit	Expected Damage
Car roof	Punch straight through
Glass window	Instant shattering
Standard roof tiles	Complete penetration
Person	Potentially lethal
Reinforced structure	Significant structural damage

For comparison, even golf ball-sized hail at 60 mph causes severe damage to cars and can injure people. Soccer ball hail at 140 mph would be closer to artillery fire than weather.

Step 4: Sanity Check

Does 140 mph make sense? A baseball thrown at 90 mph can dent a car; hailstones are denser and more irregular than baseballs. 140 mph projectiles of 400+ grams would indeed punch through roofs. The estimate seems physically reasonable.

Interesting addition: Real hailstones aren’t perfect spheres. They tumble and grow irregularly, with spikes and lobes that actually increase drag and reduce terminal velocity somewhat. A perfectly spherical soccer ball hailstone would be rarer than a strangely shaped one. The irregular shape is actually good news for those of us with breakable bones.

Key Takeaway for UGEE REAP:

• Terminal velocity problems are fundamentally about force balance
• Scaling laws (how properties change with size) are a recurring tool
• Think about realistic physical constraints; real objects deviate from ideal models
• Tabulating outcomes for different impact scenarios shows structured thinking

Solved Example 4: Powering a House with Radioactive Bananas

Q: Bananas are radioactive. How many would you need to power a house?

This is a question about radioactive decay, energy scales, and the difference between nuclear energy and chemical energy.

Step 1: What’s Being Asked?

Can we extract usable energy from banana radioactivity, and at what scale?

Step 2: What Do We Know?

• Bananas contain potassium, a small fraction of which is the radioactive isotope potassium-40 (K-40)
• Potassium-40 decays by emitting high-energy particles, releasing energy
• A typical banana undergoes roughly 10–15 radioactive decays per second
• Each decay releases approximately 1.3 MeV of energy
• A typical house consumes roughly 1–2 kW of power continuously

Step 3: Build the Model

Energy per decay: 1.3 MeV = 1.3 × 10⁶ × 1.6 × 10⁻¹⁹ J ≈ 2 × 10⁻¹³ J

Power from one banana (15 decays/second): P = 15 × 2 × 10⁻¹³ ≈ 3 × 10⁻¹² W (3 picowatts)

Power needed to run a house: ~1,000 W (1 kilowatt)

Number of bananas needed: N = 1,000 / (3 × 10⁻¹²) ≈ 3 × 10¹⁴ bananas (roughly 300 trillion bananas)

This pile of bananas would be large enough to bury most of the skyscrapers in a major metropolitan area. Not practical.

But here’s the twist: A banana also contains about 100 food calories (≈ 420 kJ) of chemical energy. If you burned bananas as fuel, you’d need only about 10 bunches per day to power a house. Chemical energy is roughly 10¹⁴ times more useful per banana than nuclear decay energy.

Energy Source	Bananas Needed per Day	Practical?
Radioactive decay	~300 trillion	No
Direct combustion	~10 bunches	Sort of
Biogas from decomposition	Intermediate	Possible but messy

Step 4: Sanity Check

This makes sense. Nuclear decay from K-40 is an incredibly slow process. K-40 has a half-life of 1.25 billion years. The whole point of a long half-life is that decay is rare and slow. Energy output is negligible per unit time. Chemical energy, by contrast, is released rapidly and in large quantities. The comparison confirms that atomic decay energy and chemical energy operate on completely different scales.

Key Takeaway for UGEE REAP:

• Order-of-magnitude estimation is the core skill being tested
• Compare different energy sources/mechanisms explicitly
• A long half-life = slow decay = low power output
• Never conflate “radioactive” with “lots of energy available quickly”; the rate of release matters

Solved Example 5: The Toaster in a Freezer

Q: If you put a toaster in a freezer and turned them both on, who wins?

A deceptively simple question about thermal power.

Step 1: What’s Being Asked?

Which system, the toaster (heating) or the freezer (cooling), has greater thermal power?

Step 2: What Do We Know?

• A typical toaster generates approximately 1,000 watts of heat
• A typical household freezer compressor uses approximately 100–150 watts of electricity
• Freezers use a heat pump mechanism: they don’t generate cold, they move heat from inside to outside
• Heat pumps have a Coefficient of Performance (COP) of 2–3, meaning 1 unit of electrical energy moves 2–3 units of heat

Step 3: Build the Model

Toaster heat output: ~1,000 W

Freezer heat removal capacity: 150 W electrical × COP of 3 = 450 W of heat removal

The toaster generates more than twice the heat the freezer can remove. The toaster wins, conclusively.

Not only would the bread get toasted, but the inside of the freezer would gradually heat up, and eventually both appliances might overheat.

What about the toast quality?

The toaster coils glow red-hot at over 600°C. The difference between room temperature (20°C) and freezer temperature (-15°C) is only 35°C, barely 5% of the 600°C the coils need to reach. To the toaster, all surrounding temperatures are “cold.” The bread might take slightly longer to toast if it starts colder, but the toaster will absolutely get the job done.

Scenario	Toaster Output	Freezer Removal	Winner
Toaster vs freezer (power)	1,000 W	450 W	Toaster
Coil temperature reach	600°C	N/A	Toaster
Long-term equilibrium	Room heats up	Overheats	Toaster

Step 4: Sanity Check

This is intuitive once you think about it. A freezer isn’t a “cold machine”; it’s a low-power heat pump. It can slowly cool a static space, but it’s not designed to fight back against a high-powered heat source. The toaster wins easily.

Key Takeaway for UGEE REAP:

• Power comparison is often the simplest way to resolve “who wins” questions
• Understand the mechanism; freezers move heat, they don’t destroy it
• Coefficient of Performance matters but doesn’t change the fundamental outcome here
• Contextualise what “cold” means for different systems (to a toaster, -15°C and 20°C are both cold)

What These Examples Teach Us About Preparing for UGEE REAP Questions

Looking across all five examples, a clear pattern emerges. Here is what we focus on at Phodu Club when preparing students for UGEE REAP questions:

1. Build Your Estimation Toolkit

Fermi estimation is a skill, not a talent. Practice estimating the following types of quantities without a calculator:

• Powers of ten for common objects (mass, size, speed, energy)
• Rates of common processes (decay, combustion, heat transfer)
• Scaling relationships (how does X change when you double Y?)

2. Understand Mechanisms, Not Just Formulas

REAP questions reward students who understand why terminal velocity exists, not just the formula for it. Study your physics with an eye toward mechanisms. Ask “why” repeatedly.

3. Think in Energy

Energy conservation and energy balance underlie almost every REAP question. Whenever you encounter a REAP-type question, ask immediately: where is the energy coming from, where is it going, and at what rate?

4. Practise Multi-Step Reasoning

None of the examples above were single-step problems. They all required chaining 3–5 reasoning steps together. Practise this with questions from diverse sources; physics olympiad problems, science magazines, and past UGEE papers are all good resources.

5. Do Mock Tests Under Exam Conditions

Strategy without practice is just theory. At Phodu Club, we offer a UGEE Test Series specifically designed to give you practice on the kind of reasoning-heavy questions that appear in the REAP section. Working through these under timed conditions is what builds the real skill.

How Phodu Club Helps With UGEE REAP Preparation

We’ve seen this pattern again and again. Students who are strong at JEE-style problems genuinely struggle with REAP because they’ve never been trained to reason from first principles. They look for a formula, can’t find one, and panic.

At Phodu Club, we work with students specifically on this gap. What we focus on first is building the habit of physical reasoning, understanding what a question is really asking before reaching for any calculation. We also train students to estimate confidently rather than freeze when exact numbers aren’t available.

Most students miss this: REAP questions aren’t harder than JEE questions in terms of mathematical complexity. They’re often simpler, mathematically. The difficulty is in the reasoning layer that comes before the math. That’s exactly the layer we built Phodu Club to strengthen.

If you’re preparing for UGEE and want structured, strategy-focused practice, explore our UGEE Test Series and our broader resources on how to prepare for UGEE and what SUPR and REAP in UGEE mean.

Conclusion

UGEE REAP questions aren’t a trick. They’re an honest test of whether you think like a scientist, whether you can encounter an unfamiliar situation, break it down logically, apply basic principles, and arrive at a defensible answer.

The five examples in this guide cover five of the most important reasoning skills REAP tests: energy balance, geometric reasoning, terminal velocity and scaling, radioactive decay vs. chemical energy, and thermal power comparison. Each one used the same four-step approach: identify what’s being asked, list what you know, build a simple model, and sanity-check the result.

Effort alone won’t fix your REAP score. The right reasoning habits will. That’s what we work on at Phodu Club, not just solving questions, but understanding why the answer is what it is.

Frequently Asked Questions (FAQ)

1. What are UGEE REAP questions? 

UGEE REAP (Research Eligibility Aptitude Program) questions are a component of the University of Hyderabad’s undergraduate entrance exam. They test scientific reasoning, Fermi estimation, physical intuition, and the ability to apply basic principles to novel, unfamiliar scenarios. They are not standard textbook questions — they require genuine thinking.

2. Are UGEE REAP questions based on a fixed syllabus? 

Not exactly. While they draw on concepts from physics, chemistry, and mathematics at the Class 11–12 level, the questions present these concepts in unusual settings. There is no fixed list of “REAP topics” — the skill being tested is reasoning, not topic recall.

3. How do I improve my score on UGEE REAP questions? 

The most effective approach is to practise Fermi estimation problems, physics olympiad questions, and reasoning-heavy problems regularly. Build the habit of asking “what concept is hidden in this scenario?” before attempting any solution. Timed mock tests — like those in Phodu Club’s UGEE Test Series — are essential for building exam-ready reasoning speed.

4. How much time should I spend on each UGEE REAP question during the exam? 

UGEE REAP questions are typically multi-step, so they take longer than simple recall questions. Aim to spend no more than 3–4 minutes per question. If you’re stuck after 2 minutes of reasoning, make a defensible estimate and move on. Don’t let one question derail your entire attempt.

5. Is JEE preparation enough for UGEE REAP questions? 

Partially. JEE preparation builds strong conceptual foundations, which helps. But JEE training emphasises pattern recognition and formula application, while REAP emphasises open-ended reasoning. You need to supplement your JEE prep with deliberate practice on reasoning-type questions. Check our guide on the UGEE syllabus vs JEE syllabus for a detailed comparison.

6. How many REAP questions appear in the UGEE exam? 

The number of questions in the REAP section has varied across years. We recommend checking the official University of Hyderabad UGEE page for the most current exam pattern. Our guide on how many questions are in UGEE also covers this.

7. What is the difference between SUPR and REAP in UGEE? 

SUPR (Science Undergraduate Program) and REAP (Research Eligibility Aptitude Program) are two different programmes under the UGEE umbrella. REAP is specifically for students seeking admission to research-oriented programs. They have different emphases in their question patterns. Our dedicated article on what SUPR and REAP in UGEE are explains the distinction in detail.

8. How does Phodu Club help with UGEE REAP preparation specifically? 

At Phodu Club, we’ve identified the reasoning gap that most UGEE aspirants face — strong at formula problems, weak at first-principles thinking. Our UGEE Test Series is designed specifically around the REAP-style question format, with detailed solution walkthroughs that show you not just the answer but the reasoning process behind it. We also offer mentorship for students who are stuck on score plateaus and need a clearer prep direction.