Important CAT Quant Formulas 2026 Section Wise PDF Download

Overview: CAT Quant Formulas 2026 is your section-wise QA formula sheet for fast revision. Use it to recall core equations, cut calculation time, and avoid silly errors in mocks and on exam day.

On this page, you’ll get topic-wise CAT Quant formulas across high-utility areas like Arithmetic (Percentages, SI/CI, TSD, Time & Work), Algebra, Number System, Geometry/Mensuration, and Modern Math. Download the section PDFs below and revise weekly to keep recall sharp.

For the complete CAT formula sheet (Quant + DI + LR), use the master hub: Important Formulas for CAT 2026 (Quant, DI & LR).

Download FREE Study Material for CAT 2026 by Supergrads

The Quantitative Aptitude section includes questions on a wide range of mathematical topics.

These include Number Systems, Profit, Loss, and Discount, LCM and HCF, Time and Work, Averages, Logarithms, Surds and Indices, Probability, set theory and functions, Trigonometry, permutations and combinations, Coordinate Geometry, and mensuration. 

To succeed in the Common Admission Test (CAT), candidates must be well-versed in the fundamental formulas. So, to help you out, we have provided the list of important CAT quant formulas PDF here!

Why Are CAT 2026 Quant Formulas Important? 

The CAT exam not only tests your ability to solve complex problems but also your speed and accuracy. Knowing the right CAT Quant Formulas at the right time can:

• Save time during calculations
• Reduce errors by following standard solving patterns
• Enhance confidence while tackling tricky questions
• Let’s explore the key formulas topic-wise.

Download Important CAT Quant Formula Sheets PDF Below

How to use this formula sheet: Revise once every week + once before every mock. During analysis, tag 3–5 formulas you forgot and revise only those daily for 7 days.

Tip: Don’t just memorise—solve 5–10 questions per topic to lock the formula into application.

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Important CAT Quant Formulas List 2026

1.  Number System Formulas

Here is the important CAT Quant Tricks and Formulas list for Number System:

• 1 + 2 + 3 + 4 + 5 + … + n = n(n + 1)/2
• (1² + 2² + 3² + ….. + n²) = n ( n + 1 ) (2n + 1) / 6
• (1³ + 2³ + 3³ + ….. + n³) = (n(n + 1)/ 2)²
• Sum of the first n odd numbers = n²
• Sum of first n even numbers = n (n + 1)

2. Algebra Formulas

Here is the list of all the quant formulas for the CAT exam 2026:

• (a–b)² = (a² + b² – 2ab)
• (a + b)² = (a² + b² + 2ab)
• (a + b)(a – b) = (a² – b²)
• (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
• (a³ – b³) = (a – b)(a² + ab + b²)
• (a³ + b³) = (a + b)(a² – ab + b²)
• (a³ + b³ + c³ – 3abc) = (a + b + c)(a² + b² + c² – ab – bc – ac)
• When a + b + c = 0, then a³ + b³ + c³ = 3abc
• (a + b)n = an + (nC1)an-1 b + (nC2)an-2 b² + … + (nCn-1)abn-1 + bn

Check: How to prepare for Quantitative Aptitude for CAT exam?

3. LCM and HCF Formulas

Another important section of the Quantitative Aptitude is LCM and HCF. Here is the CAT Quant Tricks and Formulas list that you should be aware of:

• LCM × HCF = Product of the numbers
• LCM of co-prime numbers = Product of the numbers

4.  Percentages Formulas

y is what % of x: (y/x) × 100 — most-used conversion

Increase N by S%: N(1 + S/100) — growth/hike

Decrease N by S%: N(1 - S/100) — discount/decline

Read more: Algebra Topics for CAT

5. Averages Formulas

• Average = (Sum of observations/Number of observations)

6.  Profit, Loss, and Discount Formulas

Here are the important CAT quant formulas for profit, loss and discount

Profit: SP - CP

Loss: CP - SP

Profit %: (Profit/CP) × 100

Loss %: (Loss/CP) × 100

SP (Profit%): CP × (100 + Profit%)/100

SP (Loss%): CP × (100 - Loss%)/100

MP from SP & Discount%: MP = SP × 100 / (100 - Discount%)

Read More: SuperGrads CAT Toppers Interview

7. Speed, Time and Distance Formulas

Here are the important CAT quant formulas for speed, time and distance

Speed: Distance / Time

Distance: Speed × Time

Time: Distance / Speed

Relative speed (same direction): |A - B|

Relative speed (opposite direction): A + B

Average speed (equal distances): (2xy)/(x + y)

Download Maths Mantra Formula Booklet by Supergrads

8. Time and Work Formulas

Here are the important CAT Quant Tricks and Formulas for time and work:

• Work = Rate × Time
• Efficiency ∝ 1/Time
• If A does a work in x days, then A’s 1 day work = 1/x
• Combined Work = A’s work/day + B’s work/day
• Total Time = (Product of days) / (Sum of days)

9. Simple and Compound Interest Formulas

Here are the important formulas for simple and compound interest:

• SI = (P × R × T) / 100
• CI = P(1 + R/100)^T - P
• Amount = P(1 + R/100)^T

Know More | How Many Times CAT Exam is Conducted in a Year

10. Logarithm Formulas

Here are the important CAT quant formulas for logarithms

• log(ab) = log a + log b
• log(a/b) = log a - log b
• log(a^b) = b log a
• log_a a = 1
• log_a 1 = 0
• Change of base: log_b a = log_c a / log_c b

11. Probability Formulas

Here are the important formulas for probability:

• Probability = (Favourable Outcomes) / (Total Outcomes)
• 0 ≤ Probability ≤ 1
• P(A or B) = P(A) + P(B) - P(A and B)
• P(A and B) = P(A) × P(B), if A and B are independent

12. Surds and Indices Formulas

Here are the important CAT quant formulas for surds and indices:

• a^m × a^n = a^(m + n)
• (a^m)/(a^n) = a^(m - n)
• (a^m)^n = a^(mn)
• a^0 = 1
• √a × √b = √(ab)
• √a / √b = √(a/b)

13. Mixtures and Alligations Formulas

Here are the important formulas for mixtures and alligations:

• Average Value = (Sum of quantities × value) / Total quantity
• Alligation Rule:
  (High - Mean) (Mean - Low) = Ratio of Quantities

Check: Venn Diagram Practice Questions for CAT 2026

14. Trigonometry Formulas

Here are the important CAT quant formulas for trigonometry:

• sin²θ + cos²θ = 1
• tanθ = sinθ / cosθ
• cotθ = 1 / tanθ
• Basic Angles:

sin 0° = 0, sin 30° = 1/2, sin 45° = 1/√2, sin 60° = √3/2, sin 90° = 1

Find: Practice with CAT Trigonometry Questions

15. Coordinate Geometry Formulas

Here are the important CAT quant formulas for coordinate geometry:

• Distance between (x1, y1) and (x2, y2) = √[(x2 - x1)² + (y2 - y1)²]
• Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
• Slope of line = (y2 - y1)/(x2 - x1)
• Equation of line: y = mx + c
• Area of triangle = ½ |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

Click Here: Download CAT Arithmetic questions PDF with Solutions

Check: Geometry Formulas for CAT 2026

Tips to Analyse CAT Quant Formulas 2026

• Create a formula sheet and revise it regularly.
• Solve topic-wise questions using the relevant formulas.
• Practice mental math to reduce dependency on calculators.
• Take timed mock tests to build speed and recall ability.

Check: Para Jumbles Questions for CAT

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Conclusion

By understanding and practising these CAT quant formulas across various topics such as number systems, algebra, percentages, and geometry, you can significantly improve your problem-solving speed and accuracy. 

Regular practice and familiarity with these formulas will not only build your confidence but also help you tackle even the trickiest questions.

Remember, consistent preparation is the most effective way to achieve your desired score. 

So, take the time to review, practice, and apply these formulas as you get ready for the exam. Good luck with your preparation!

Practice with CAT Mensuration Questions