Important CAT Quant Formulas 2026 Section Wise PDF Download

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