Aptitude Questions for Placement:
Time, Work & Ratio Tricks That Actually Work
The complete job test prep guide — syllabus, shortcuts, timetable, solved examples & practice links for campus placement success.
Why Time, Work & Ratio Dominate Placement Tests
For freshers stepping into the job market in 2026, aptitude tests are the first filter. Thousands of candidates apply for every opening, and companies use aptitude rounds to cut the list down before technical interviews even begin. Scoring well here is not optional — it is your entry ticket.
The good news? These topics follow predictable patterns. Once you internalize 8–10 core formulas and the tricks behind them, you can solve most placement-level aptitude questions in under 60 seconds. This guide gives you exactly that — no fluff, just the techniques that work under exam pressure.
Complete Aptitude Syllabus Breakdown
Before diving into tricks, it's critical to know the full landscape. Here is the complete quantitative aptitude syllabus tested in placement exams, with priority levels based on actual question frequency:
| # | Topic | Avg. Questions | Difficulty | Priority |
|---|---|---|---|---|
| 1 | Time & Work | 3–5 | Medium | High |
| 2 | Ratio & Proportion | 2–4 | Easy–Medium | High |
| 3 | Time, Speed & Distance | 3–4 | Medium | High |
| 4 | Percentages | 2–4 | Easy | High |
| 5 | Profit & Loss | 2–3 | Easy–Medium | Medium |
| 6 | Averages & Mixtures | 2–3 | Medium | Medium |
| 7 | Number System & HCF/LCM | 2–3 | Medium | Medium |
| 8 | Permutation & Combination | 1–2 | Hard | Lower |
| 9 | Probability | 1–2 | Hard | Lower |
| 10 | Data Interpretation | 5–8 | Medium–Hard | High |
This guide focuses on the top two priority topics — Time & Work and Ratio & Proportion — which together form the backbone of aptitude sections. Master these first, and the others will feel far more manageable.
Time & Work: Formulas, Tricks & Solved Examples
Time and Work problems test your ability to calculate how fast people or machines complete tasks, either alone or in combination. They appear in nearly every placement paper and are highly formulaic — making them one of the highest-ROI topics for freshers to study.
Core Formulas You Must Know
Basic Work Rate
If A completes work in N days, A's 1-day work = 1/N
Combined Work Rate
Add individual rates when people work together on the same task
Time Together
Days to finish when A and B work together (where A, B = days alone)
Men–Days Equivalence
Total work is constant — scale men or days proportionally
The LCM Method (Eliminates Fractions Instantly)
Assume total work = LCM of all individual completion days. Convert each person's work into units per day. Add/subtract as needed. This completely removes fraction arithmetic.
Why it works: Instead of working with 1/6, 1/8 as fractions, you work with whole numbers 4 and 3 — much faster under exam conditions.
Q: A can do a work in 6 days, B in 8 days. How long will they take together?
Step 1: LCM(6, 8) = 24. Assume total work = 24 units.
Step 2: A's rate = 24/6 = 4 units/day. B's rate = 24/8 = 3 units/day.
Step 3: Combined rate = 4 + 3 = 7 units/day.
Answer: 24 ÷ 7 = 3³/₇ days — solved in under 20 seconds!
Work Remaining After Partial Completion
If A and B together work for K days, then A leaves — calculate work done, subtract, find how long B takes for the rest.
Formula: Remaining Work = Total – (Combined Rate × K days). Then Remaining ÷ B's rate = additional days.
Q: A and B together complete a work in 12 days. A alone takes 20 days. B alone takes?
Formula: 1/B = 1/12 – 1/20 = (5 – 3)/60 = 2/60 = 1/30
Answer: B alone takes 30 days. No calculator needed — just fraction subtraction!
Ratio & Proportion: Fast-Track Shortcuts
Ratio problems are the quiet powerhouse of aptitude tests. They underpin questions on mixtures, partnerships, salaries, and even some data interpretation sets. Freshers often underestimate this topic — a mistake that costs 3–4 marks per exam.
Basic Ratio
Always reduce to simplest form first. Multiply or divide both sides by the same number.
Proportion Rule
Cross-multiplication: if four quantities are in proportion, product of extremes = product of means.
Dividing in Ratio
To divide X in ratio a:b, shares are Xa/(a+b) and Xb/(a+b)
Compound Ratio
Compound ratio = product of corresponding terms. Used in chain problems.
The "K Multiplier" Method
If A : B = 3 : 5, let A = 3k and B = 5k. Then use given conditions to find k, and everything follows automatically. This removes guesswork from multi-ratio problems.
Bonus tip: When ratios involve three quantities (A:B:C), chain them via the common term.
Q: Divide ₹1,800 between A, B, C in the ratio 2:3:4. Find C's share.
Total parts = 2+3+4 = 9. One part = 1800/9 = ₹200.
C's share = 4 × 200 = ₹800. Done in 10 seconds.
Ages + Ratios in One Step
Present age ratio A:B = m:n. After T years, ratio = (m+T):(n+T) — set up as a single equation and solve for k (the multiplier). Works for past ages too by substituting –T.
🔢 Level Up on Ratio & Proportion
Topic-wise drills, shortcuts explained with practice sets — all at careersparxprep.online
Study Timetable: 4-Week Placement Ready Plan
Most freshers get 4–6 weeks of notice before a campus drive. Here's a structured, realistic daily plan to go from zero to placement-ready in 28 days — studying 1.5–2 hours per day.
⏱ Daily commitment: 90–120 minutes. Split into 40 min concept study + 50 min question practice. Weekends can include one full-length mock (45–60 min).
📊 Take Placement Mock Tests
Company-specific full-length mocks: TCS, Infosys, Wipro, Accenture & more — sparxprep.in
Exam Day Tips for Aptitude Sections
Knowing formulas is only half the battle. How you perform in an actual 60-minute aptitude section depends on strategy as much as preparation. These tips come directly from analyzing top scorers in TCS, Infosys, and Wipro aptitude rounds:
- 1Read for keywords first: Words like "alone," "together," "remaining," and "after X days" immediately signal which formula to use. Circle these before calculating.
- 2Never start with fractions: Use the LCM trick for Time & Work and the K-multiplier for Ratios. Fractions slow you down by 40%.
- 3Eliminate first, then calculate: In MCQ formats, eliminate two wrong options using logic (e.g., combined time must be less than the faster person alone).
- 4Time allocation: Spend no more than 75 seconds per question. Flag and move — skipped questions can always be revisited. Spending 4 minutes on one hard question is the #1 scoring mistake.
- 5Practice under time pressure weekly: Use the placement test series at sparxprep.in with the timer on. Comfort without the clock is false confidence.
- 6Sanity check your ratio answers: After solving, quickly verify: does the larger ratio term correspond to the larger quantity? This catches sign errors in 3 seconds.
FAQ: Aptitude Questions for Placement
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