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Aptitude Practice

Aptitude Preparation for Campus Placements

Aptitude is the gatekeeper before coding. It is the first round at TCS NQT, Infosys, Wipro Elite and Accenture. Here you get weightage, shortcuts and solved examples for 31 topics.

  • Speed is the score

    Spend at most 60 seconds per question. If it isn't working, mark it and move on.

  • Watch sectional cut-offs

    TCS NQT especially needs you to clear every section, so touch all three daily.

  • Previous patterns first

    Start with your target company's past patterns. Topics repeat; only numbers change.

Quantitative Aptitude

In quant, shortcuts and speed matter more than formulas. Master the high-weightage topics first: they repeat in every test, only the numbers change.

Topic weightage and shortcuts (13 topics)

Weightage is approximate, based on common campus test patterns. It can vary by company and season.

TopicWeightageShortcut / Method
PercentagesHighSuccessive change: a + b + (ab/100). Memorise fractions: 12.5% = 1/8, 16.66% = 1/6.
Profit and LossHighSP = CP x (100 + P%)/100. Mark-up m% with discount d% gives net = m - d - (md/100).
Time and WorkHighLCM method: total work = LCM of the days, then find units per day.
Time, Speed and Distance (Trains, Boats)Highkm/h to m/s: multiply by 5/18. A train crossing a platform covers train + platform length.
Number SystemHighDivisibility rules, unit-digit cycles (2, 3, 7, 8 repeat every 4), remainder theorem.
Ratio and ProportionMediumJoin ratios through the common term. a:b = 2:3 and b:c = 4:5 gives a:b:c = 8:12:15.
Simple and Compound InterestMedium2-year CI - SI = P(r/100)². For 3 years: P(r/100)² x (300 + r)/100.
AveragesMediumDeviation method: assume an average and add the plus/minus deviations.
Permutation and CombinationMediumOrder matters: nPr. Order doesn't matter: nCr. Circular arrangement = (n - 1)!.
ProbabilityMediumP = favourable / total. 'At least one' = 1 - P(none).
Mixtures and AlligationLowAlligation cross: (dearer - mean) : (mean - cheaper).
LCM and HCFLowFor two numbers: LCM x HCF = a x b.
Problems on AgesLowLet the present age be x and form an equation. Back-solving from options is often faster.

Method notes

  • Spend at most 60 seconds per question. If it isn't working, mark it and move on.
  • Back-solve from the options. It is often faster than forming an equation.
  • Memorise squares up to 20, cubes up to 15 and percentage values of 1/2 to 1/20.
  • Do 20 timed questions daily: 10 from high-weightage topics and 10 mixed.

Solved sample questions (5)

Try it yourself first (60 seconds), then open the solution.

  1. Q1 · Percentages

    A price is first increased by 20% and then decreased by 20%. What is the net change?

    • A. 0%
    • B. 4% increase
    • C. 4% decrease
    • D. 2% decrease
    Show solution
    1. Successive change formula: a + b + (ab/100).
    2. Here a = +20 and b = -20.
    3. Net = 20 - 20 + (20 x -20)/100 = 0 - 4 = -4%.
    4. The minus sign means a decrease.

    Answer: 4% decrease

  2. Q2 · Time and Work

    A can finish a job in 12 days and B can finish it in 18 days. How long will they take working together?

    • A. 6 days
    • B. 7.2 days
    • C. 8 days
    • D. 15 days
    Show solution
    1. Total work = LCM(12, 18) = 36 units.
    2. A does 36/12 = 3 units per day. B does 36/18 = 2 units per day.
    3. Together they do 3 + 2 = 5 units per day.
    4. Time = 36 / 5 = 7.2 days.

    Answer: 7.2 days

  3. Q3 · Time, Speed and Distance

    A 150 m long train runs at 54 km/h. How many seconds will it take to cross a 300 m platform?

    • A. 20 s
    • B. 25 s
    • C. 30 s
    • D. 36 s
    Show solution
    1. Convert speed to m/s: 54 x 5/18 = 15 m/s.
    2. Distance to cross the platform = train + platform = 150 + 300 = 450 m.
    3. Time = distance / speed = 450 / 15 = 30 seconds.

    Answer: 30 seconds

  4. Q4 · Profit and Loss

    A shopkeeper marks goods 25% above cost price and gives a 10% discount. What is the profit percentage?

    • A. 10%
    • B. 12.5%
    • C. 15%
    • D. 35%
    Show solution
    1. Let CP = 100. Marked price = 125.
    2. After a 10% discount, SP = 125 x 0.9 = 112.5.
    3. Profit = 112.5 - 100 = 12.5, i.e. 12.5%.
    4. Shortcut: 25 - 10 - (25 x 10)/100 = 12.5%.

    Answer: 12.5%

  5. Q5 · Simple and Compound Interest

    What is the difference between compound interest and simple interest on Rs 10,000 at 10% per year for 2 years?

    • A. Rs 50
    • B. Rs 100
    • C. Rs 200
    • D. Rs 210
    Show solution
    1. Shortcut for 2 years: CI - SI = P x (r/100)².
    2. = 10,000 x (10/100)² = 10,000 x 0.01.
    3. = Rs 100.

    Answer: Rs 100

How much should you practise daily?

Around 1 hour of aptitude a day is enough alongside college, if you stay consistent.

  • Quant

    20 timed questions daily (25-30 min). High-weightage topics first.

  • Logical

    1 puzzle or seating set + 10 series / coding-decoding questions daily (20 min).

  • Verbal

    1 RC passage + 10 grammar questions daily (15-20 min).

  • Weekly

    2 full-length timed mock tests (from Phase 2). List your mistakes after every mock.

See which aptitude topics matter most for each company in Company-wise Preparation. Two days before a test, revise only your target company's pattern.

Your next step

After aptitude, get your resume ready

Once you clear the test, shortlisting depends on your resume. Check your score with the 10-point ATS checklist.