June 29, 2024

**Summary:** Acing the design entrance exams requires more than an artistic eye. Mastering important formulas to crack design entrance exams can equip you with the problem-solving edge to succeed.

The syllabus is a significant topic when discussing design entrance exams such as NATA, NIFT, and UCEED. Mathematical aptitude is an important section for design entrance exam syllabus.

The aptitude sections typically include math and qualitative and quantitative reasoning, which students must solve to earn points.

However, the strict time limit can cause panic, leading to miscalculations and marking the wrong answer. Let's review some of the essential formulas to crack the Design Entrance Exams in 2025!

It is the first generalised topic, and Aptitude questions based on this concept are found in every design examination.

It often creates confusion about how to calculate your time and distance—in km/hr or m/sec.

Whatever the case, you can use both formulas at your convenience. Let us share some illustrations and basic formulas with you.

So,

Speed = D/T

The distance can be donated in km or m.

Time can be denoted with h (hour) or sec (minutes).

Therefore,

1km/hr = 1000m / 60x 60 sec

= 5/18 m/sec

Now, let's examine how to apply these formulas so that you don't get confused while attempting similar questions in the Examination.

**Example**: Convert 36km/h into m/sec.

Ans: 1 hour/km = 5/18 m/sec

Hence,

= 36x5/18 m/sec

= 10m/sec

Let's look into another example.

E.g., What is 18m/sec

Now,

1km/h = 5/18 m/sec

Then,

18/5km per hour = 1m/sec

= 18 x 18/5 km

= 324/5

= 64.8km/h

**Read More: How to Prepare Aptitude for Design Exams?**

Now, let's deal with a real-time question you can encounter in the examination.

A man travels at â…” of his speed and arrives 30 minutes late at his destination. Find the time if he travels at the original speed.

Let the time be â…” x. Now,

x km/h = â…” x km/h

X x t = â…” x ( t + 30)

X x t = â…” x ( t + 30/60)

t = â…” t +( ½ x â…” )

t - â…” t = â…“

t/3 = â…“

T = 1 hour

You can also solve this equation without converting 30 minutes into seconds. Let us show you how.

X x t = â…” x ( t + 30)

t = â…” t + â…” x 30

t - â…” t = â…” x 30

t/3 = 20

t = 60 mins.

**Read More: Best Books for Design Entrance Exams**

Now, let's look into the speed, distance, and time formula, but here, we will discuss problems based on trains. These questions are slightly different from the regular speed, distance, and time calculation because we have to consider the length of the train while calculating the sums. We will show you how to solve them with the illustration below.

**Question: **Train A, having a length of 600 meters and running at a speed of 80 km/hr, will take how long to traverse a man seated in the second train, having a length of 400 meters and going at 64 km/h in the opposing path?

Ans:

Distance = 600 m

Total Speed = 64 + 80 = 144 kmph (delivered due to the fact they're visiting in contrary directions)

In m/sec, speed = one hundred forty-four *(5/18) = forty m/sec

Distance = Speed * Time

600 = 40 * Time

Time = 600/40

Hence, Time = 15 seconds

**Read More: Designing Sketches and Human Figures for UCEED 2025**

*Notes: Important formulas.*

Time when a train passes and objects at a certain speed = length of a train / Speed of a train.

Thickness of the object = length of a train + size of the platform / Speed of the train

Time is taken by a train moving in opposite directions: L1 + L2/S1 + S2 (L stands for the length of the train, while S stands for the train's speed.)

Time taken by a train moving in the exact directions -= L1 + L2/S1 - S2

**Read More: Design Thinking Awareness Questions and Answers for Entrance Exams**

Time and work-based reasoning are the other common questions that test your IQ and patience in the examination. However, solving the question based on time and work is not a big deal in the regular time-space.

You can Master this segment too if you know the shortcuts of solving these time and work reasoning and have applied them in your practice paper and mock test. Let us walk you through the formulas for solving time and Work-based reasonings:

Work Done = Time Taken × Rate of Work

Rate of Work = 1 / Time Taken

Total Time Taken = 1 / Rate of Work

Assume a portion of work is accomplished in x digit of days, then the work performed in 1 day = 1/x

Aggregate Work accomplished = No of Days × Efficiency

**Read More: 6 months Preparation Strategy for UCEED 2025**

- Don't be afraid to experiment with different design approaches and explore how these formulae can be used to create unique and innovative solutions.
- Remember, design is more than just following rules; it's about expressing your creativity and finding aesthetically pleasing and functionally sound solutions.
- By mastering these essential formulae and fostering a spirit of exploration, you'll be well on your way to conquering your design entrance exam and embarking on a fulfilling design career!

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