Every year, millions of engineering and commerce graduates appear for campus placement aptitude tests — and a significant percentage fail not because they lack technical skills, but because their quantitative aptitude speed is insufficient. The aptitude round eliminates more candidates than the technical round in most large IT and consulting recruiters.
The mathematics tested in campus placement aptitude is not advanced. TCS, Wipro, Infosys, Accenture, Cognizant, and similar companies test Class 10-level arithmetic — percentages, ratios, time-work, profit-loss, and basic geometry. The challenge is never the concept. The challenge is solving 20–30 such problems in 18–25 minutes without a calculator.
This guide gives you a complete, company-specific preparation strategy — covering exactly which topics each major recruiter emphasizes, the fastest shortcuts for each topic, and a realistic 4-week plan to reach exam-ready calculation speed starting from wherever you are today.
The Campus Placement Aptitude Landscape
Why Aptitude Tests Eliminate So Many Candidates
Campus placement aptitude tests are designed as filters — their purpose is to reduce a large candidate pool to a manageable interview shortlist. The cutoff scores are set specifically to eliminate candidates who have not prepared strategically.
Three factors make these tests particularly elimination-heavy:
- No calculator allowed — every calculation must be done mentally or on rough paper
- Strict time limits — typically 18–25 minutes for 20–30 quantitative questions
- Negative marking — wrong answers reduce your score, making random guessing costly
The candidate who has practiced mental math shortcuts has a structural advantage over one who relies on written calculation — not because the former is more intelligent, but because they complete the same problems in less time with fewer errors.
Company-Wise Difficulty and Topic Profile
| Company | Questions | Time | Difficulty | Key Topics |
|---|---|---|---|---|
| TCS NQT | 26 | 40 min | Medium | Number system, P&L, percentage, ratio |
| Wipro | 16 | 16 min | Medium | Averages, time-work, percentage |
| Infosys | 10 | 35 min | Medium-High | DI, logical reasoning with math |
| Accenture | 20 | 20 min | Low-Medium | Basic arithmetic, percentages |
| Cognizant | 16 | 16 min | Medium | Ratio, profit-loss, time-distance |
| Capgemini | 16 | 16 min | Low-Medium | Basic arithmetic, percentage |
| HCL | 18 | 18 min | Low-Medium | All arithmetic topics |
Key insight: For most companies, you have approximately 1 minute per question. TCS NQT is the most generous with time; Wipro and Cognizant are the most demanding pace-wise.
Topic-Wise Shortcuts for Placement Tests
Topic 1: Percentage — The Foundation of Everything
Percentage questions appear in virtually every placement test — directly as standalone problems and indirectly within profit-loss, discount, and data interpretation questions.
The non-negotiable shortcut:
Break every percentage into 10% components.
- 10% of any number = shift decimal one place left
- 5% = half of 10%
- 1% = shift decimal two places left
- Any% = combination of above
Example problems from placement tests:
TCS-style: A product's price increased by 20% and then decreased by 10%. Net change?
- Net = 20 − 10 − (20×10)/100 = 10 − 2 = +8% increase
Wipro-style: 35% of 480 + 15% of 320 = ?
- 35% of 480: 10%=48, 30%=144, 5%=24 → 168
- 15% of 320: 10%=32, 5%=16 → 48
- Total = 216
Accenture-style: What is 125% of 640?
- 100% = 640, 25% = 160 → 125% = 800
Topic 2: Ratio and Proportion
Placement tests use ratio problems in three standard formats — direct division, chain ratio, and proportion word problems.
The one-part method (fastest for all ratio division):
- A:B:C = 2:3:5, total = ₹30,000
- One part = 30,000/10 = 3,000
- A=6,000 | B=9,000 | C=15,000
Proportion word problems — direct setup:
Cognizant-style: If 12 workers complete a project in 18 days, how many workers complete it in 8 days?
- Inverse proportion: 12×18 = w×8
- w = 216/8 = 27 workers
TCS-style: A:B = 3:4, B:C = 5:6. Find A:C.
- A:B = 3:4 → ×5 → 15:20
- B:C = 5:6 → ×4 → 20:24
- A:C = 15:24 = 5:8
Topic 3: Profit and Loss
Placement tests favor profit-loss questions involving markup, discount, and combined successive changes.
The three formulas to memorize:
- Net% = M − D − MD/100 (markup + discount)
- Loss% = X²/100 (same SP, equal profit and loss %)
- Equivalent discount = D₁+D₂−D₁D₂/100 (successive discounts)
Wipro-style: A shopkeeper marks 30% above CP and offers 10% discount. Profit%?
- Net = 30 − 10 − (30×10)/100 = 20 − 3 = 17%
HCL-style: Two items sold at ₹840 each — one at 20% profit, one at 20% loss. Net?
- Loss% = 20²/100 = 4% net loss
Capgemini-style: Successive discounts of 25% and 20%. Equivalent?
- = 25+20−(25×20)/100 = 45−5 = 40%
Topic 4: Time, Work and Pipes
This topic appears in almost every placement test and follows three standard templates.
Template 1 — Two workers:
Combined time = AB/(A+B)
- A: 15 days, B: 10 days → Together = 15×10/25 = 6 days
Template 2 — Partial work:
If A works alone for x days then B joins, find total time.
- A: 20 days, B: 30 days. A works 5 days alone, then both work together. Total time?
- Work done in 5 days by A = 5/20 = 1/4
- Remaining = 3/4
- Together rate = 1/20+1/30 = 5/60 = 1/12
- Time for remaining = (3/4)÷(1/12) = 9 days
- Total = 5+9 = 14 days
Template 3 — Pipes:
- Filling pipe: +rate, Emptying pipe: −rate
- Net rate = sum of all rates (with signs)
- Time = 1/Net rate
TCS-style: Pipe A fills in 6 hours, Pipe B fills in 8 hours, Pipe C empties in 12 hours. All open together — time to fill?
- Rate = 1/6+1/8−1/12 = 4/24+3/24−2/24 = 5/24
- Time = 24/5 = 4.8 hours
Topic 5: Speed, Distance and Time
Placement tests focus on three sub-types: average speed, trains, and relative speed.
Average speed (equal distances):
2S₁S₂/(S₁+S₂) — never use simple average
Train problems — the template:
- Crosses pole: Time = Train length/Speed
- Crosses platform: Time = (Train+Platform)/Speed
- Two trains opposite: Time = Sum of lengths/Sum of speeds
Cognizant-style: A 200m train at 72 km/h crosses a 300m platform. Time?
- 72 km/h = 20 m/s
- Time = (200+300)/20 = 25 seconds
Wipro-style: Two trains 150m and 250m approach each other at 60 and 90 km/h. Crossing time?
- Relative speed = 150 km/h = 125/3 m/s
- Time = 400÷(125/3) = 9.6 seconds
Topic 6: Number System
TCS NQT places particular emphasis on number system — divisibility, remainders, HCF/LCM, and unit digit patterns.
Remainder shortcuts:
- Remainder ÷ 9 = digital root
- Cyclicity of unit digits: powers of 2 cycle in 4 (2,4,8,6), powers of 3 cycle in 4 (3,9,7,1)
TCS NQT-style: Find unit digit of 3⁴⁷.
- Cycle of 3: 3,9,7,1 (period 4)
- 47 mod 4 = 3 → 3rd in cycle = 7
TCS NQT-style: HCF of 144 and 180?
- 180 = 1×144+36
- 144 = 4×36+0
- HCF = 36
LCM-HCF relationship:
- HCF×LCM = product of two numbers
- LCM = product/HCF = 144×180/36 = 720
Topic 7: Data Interpretation (Infosys Specific)
Infosys places significantly more emphasis on data interpretation than other recruiters. Their DI sets involve bar charts, tables, and pie charts requiring 3–5 calculations per set.
Speed rules for Infosys DI:
- Scan all questions in the set before calculating anything
- Identify which questions share calculations — do shared work once
- Use approximation aggressively — options are typically spread 5–10% apart
Example: A pie chart shows company revenue by sector. Total = ₹48 crore. Sector A = 35%, Sector B = 25%. Ratio A:B?
- No calculation needed — ratio = 35:25 = 7:5
Example: Same chart — Sector A value minus Sector B value?
- A = 35% of 48 = 16.8 crore
- B = 25% of 48 = 12 crore
- Difference = 4.8 crore
- Speed method: difference = (35%−25%) of 48 = 10% of 48 = 4.8 ✓
The Placement Test Mindset — 3 Strategic Rules
Rule 1: Attempt in Order of Confidence, Not Paper Order
Scan all questions in the first 60 seconds. Mark each as Easy (E), Medium (M), or Skip (S). Solve all E questions first — these are guaranteed marks. Return to M questions second. Skip S questions unless time permits.
Rule 2: Approximate Before Calculating
In placement tests, answer options are usually spread enough that approximation identifies the correct answer. Before beginning any calculation, check if the options allow rounding to the nearest round number. This saves 20–30 seconds per question.
Example: 37% of 483 = ?
- Options: 178.5, 185.2, 179.5, 182.1
- Approximate: 37% of 480 ≈ 40%−3% = 192−14.4 = 177.6
- Closest option = 178.5 ✓
Rule 3: Never Calculate What You Can Eliminate
Before computing any complex calculation, check if three of the four answer options can be eliminated using:
- Last digit analysis (wrong unit digit → eliminate)
- Magnitude check (answer too large or too small → eliminate)
- Sign check (should be profit not loss → eliminate)
Elimination is always faster than calculation.
4-Week Campus Placement Math Preparation Plan
| Week | Focus | Daily Practice | Target |
|---|---|---|---|
| Week 1 | Percentage + Ratio + Profit-Loss | 30 questions/25 min | 80% accuracy |
| Week 2 | Time-Work + Speed-Distance + Number System | 30 questions/25 min | 80% accuracy |
| Week 3 | Company-specific mock tests (start with your target company) | 2 full mocks/day | 85% accuracy |
| Week 4 | Speed compression + error analysis + final mocks | 3 full mocks/day | 90% accuracy on easy questions |
Daily speed math habit: 15 minutes on SpeedMath.in every morning before your main preparation session — targeting the arithmetic operations (percentage calculation, multiplication, fraction simplification) that form the calculation backbone of every placement test question.
Company-Specific Last-Minute Tips
TCS NQT: Focus on number system — unit digits, remainders, HCF/LCM. These appear more frequently than in other company tests. Practice the cyclicity method for unit digit problems until it is automatic.
Wipro: The time-per-question is the tightest of all major recruiters (1 minute). Practice exclusively with a timer from week 1. Accuracy at speed is the only metric that matters.
Infosys: DI sets dominate. Practice reading tables and graphs quickly — your graph-reading speed is as important as your calculation speed. Focus on percentage and ratio calculations since these power 80% of DI questions.
Accenture: The most straightforward quantitative section of all major recruiters. Basic arithmetic accuracy at moderate speed is sufficient. Use week 3 and 4 for Accenture mock tests only if it is your primary target.
Cognizant/Capgemini/HCL: Standard arithmetic at moderate difficulty. Percentage, ratio, and profit-loss mastery covers 70% of the paper. Target 90% accuracy here — the questions are straightforward enough that errors come from rushing, not difficulty.