Aptitude Formula Sheet for Placements
Introduction
When it comes to campus placements, one of the biggest challenges students face is clearing the aptitude test round. Whether you’re aiming for IT giants like TCS, Infosys, Wipro, or core engineering companies, having a strong grasp of aptitude formulas is the key to solving questions quickly and accurately.
But here’s the problem—aptitude topics are vast, and revising everything before placements feels overwhelming. That’s why we’ve created this comprehensive aptitude formula sheet for placements, covering all the essential topics with quick shortcuts.
By the end of this guide, you’ll have a one-stop revision cheat sheet that will save you time and boost your chances of cracking placement exams.
Why Aptitude Formulas Matter in Placements
Most placement exams are speed-based. You’re tested not just on accuracy but also on how quickly you can solve problems. Knowing the formulas helps in:
- Reducing calculation time
- Avoiding silly mistakes
- Improving accuracy in multiple-choice questions
- Boosting confidence during exams
Aptitude Formula Sheet for Placements
Let’s dive into the complete formula sheet, organized topic by topic for easy revision.
1. Percentages
- Percentage = (Value / Total Value) × 100
- Increase % = (Increase / Original Value) × 100
- Decrease % = (Decrease / Original Value) × 100
- Successive percentage change:
Final % Change = (x + y + (xy / 100))%
Example: If a price increases by 20% and then decreases by 10%, the net % change = (20 – 10 – (20×10/100)) = 8% increase.
2. Profit and Loss
- Profit = Selling Price (SP) – Cost Price (CP)
- Loss = CP – SP
- Profit % = (Profit / CP) × 100
- Loss % = (Loss / CP) × 100
- SP = (100 + Gain%) / 100 × CP
- SP = (100 – Loss%) / 100 × CP
3. Simple Interest and Compound Interest
- Simple Interest (SI):
SI = (P × R × T) / 100 - Compound Interest (CI):
CI = P × [(1 + R/100)^T – 1] - Difference between CI and SI (for 2 years):
Difference = P × (R/100)^2
4. Ratio and Proportion
- Ratio = a : b = a/b
- Proportion: a : b = c : d ⇒ (a × d) = (b × c)
- Compound ratio: (a : b) × (c : d) = (ac : bd)
5. Time and Work
- Work = Rate × Time
- If A can do a piece of work in x days, then A’s 1-day work = 1/x
- If A and B together can do work in (ab / (a+b)) days
- Efficiency ∝ 1/Time
6. Pipes and Cisterns
- If a pipe fills in x hours, then 1 hour work = 1/x
- If a pipe empties in y hours, then 1 hour work = -1/y
- Combined work = (1/x ± 1/y)
7. Time, Speed, and Distance
- Speed = Distance / Time
- Time = Distance / Speed
- Distance = Speed × Time
- If speed is increased by x%, time taken decreases by (x / (100+x)) × 100%
8. Averages
- Average = Sum of Observations / Number of Observations
- If a person travels different distances with different speeds:
Average speed = Total Distance / Total Time
9. Permutations and Combinations
- Permutations (arrangements):
nPr = n! / (n – r)! - Combinations (selections):
nCr = n! / [r! × (n – r)!]
10. Probability
- Probability = (Favorable Outcomes) / (Total Outcomes)
- P(E) + P(Ē) = 1
11. Logarithms
- log(ab) = log a + log b
- log(a/b) = log a – log b
- log(a^n) = n log a
- log 1 = 0, log a (base a) = 1
12. Number System
- Even number = 2n
- Odd number = 2n+1
- Prime number: Divisible by 1 and itself only
- HCF × LCM = Product of two numbers
13. Algebra Shortcuts
- (a + b)^2 = a^2 + 2ab + b^2
- (a – b)^2 = a^2 – 2ab + b^2
- (a + b)(a – b) = a^2 – b^2
- (x + a)(x + b) = x^2 + (a+b)x + ab
14. Geometry and Mensuration
- Area of triangle = ½ × base × height
- Area of circle = πr^2
- Circumference of circle = 2πr
- Volume of sphere = (4/3)πr^3
- Volume of cylinder = πr^2h
15. Trigonometry Basics
- sin^2θ + cos^2θ = 1
- tanθ = sinθ / cosθ
- 1 + tan^2θ = sec^2θ
- 1 + cot^2θ = csc^2θ
Quick Aptitude Shortcuts for Faster Solving
- Multiplying numbers ending with 5: (n × (n+1)) and add 25 at the end. Example: 35 × 35 = (3×4) 1225.
- Divisibility tests (by 2, 3, 5, 7, 11 etc.) help in simplification.
- Use approximation techniques when options are widely apart.
- Learn Vedic Math tricks for squaring and multiplication.
How to Use This Aptitude Formula Sheet
- Revise the sheet daily for 15–20 minutes.
- Practice at least 20 questions per topic.
- During placements, don’t try to memorize—focus on applying formulas.
- Attempt mock tests regularly to build speed.
FAQs on Aptitude Formula Sheet for Placements
Q1. Which aptitude topics are most important for placements?
Topics like percentages, profit & loss, time & work, probability, and permutations & combinations are asked frequently in campus placements.
Q2. How can I improve my speed in aptitude tests?
Practice with a timer, memorize key formulas, and learn mental math tricks. Speed comes with consistent practice.
Q3. Do companies like TCS, Infosys, and Wipro use the same aptitude pattern?
Most IT companies focus on similar areas—quantitative aptitude, reasoning, and verbal ability—but difficulty levels may vary.
Q4. Is it enough to study formulas for placements?
Formulas are essential, but practicing problems is equally important. Knowing formulas without applying them won’t help in exams.
Q5. Can I use this aptitude formula sheet for other exams like GATE, CAT, or SSC?
Yes. While placement exams are usually easier, these formulas are useful for many competitive exams like SSC, Bank PO, CAT, and GATE aptitude.
Conclusion
Aptitude is the gateway to placements, and formulas are the foundation of aptitude. This aptitude formula sheet for placements is designed to help engineering students like you revise quickly and effectively. Keep practicing, stay confident, and remember—speed and accuracy are your biggest allies.
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