Foundation · Paper 3

Quantitative Aptitude

An objective paper with negative marking, which changes everything. Speed matters, but knowing when not to answer matters more.

Quantitative Aptitude is three subjects wearing one cover — mathematics, logical reasoning and statistics — and the paper is won on the two that are most mechanical. Every question carries the same mark, so a hard algebra question is worth exactly what a one-step ratio question is worth. Students who solve in the order the paper prints them lose marks they had already earned elsewhere.

Exam snapshot

Marks

100 marks

Duration

2 hours

Negative marking

Yes — a quarter mark deducted per wrong answer

Pass requirement

40% in the paper, 50% in aggregate

Paper format

Objective — 100 MCQs

Confirm the pattern, marks split and any objective component against the ICAI notification for your own attempt before planning around it.

How the paper is built

Business Mathematics

~40 marks

MCQ

Ratio, equations, interest, annuities, permutations.

Logical Reasoning

~20 marks

MCQ

The most scorable block per minute spent.

Statistics

~40 marks

MCQ

Central tendency, dispersion, correlation, regression, index numbers, probability.

Where the marks sit

Bands follow the weightage published by ICAI for the current scheme. Read them as a guide to study order, not as a prediction of any one paper.

Statistical description, central tendency and dispersion

Steady20–25%

Formula-driven and fast once the formulas are automatic.

Ratio, proportion, indices, logarithms and equations

Steady15–20%

The mechanical core of the mathematics half.

Logical reasoning

Steady15–20%

Number series, direction sense, seating arrangement, syllogism.

Time value of money — interest and annuities

Steady10–15%

Repetitive question forms, high accuracy achievable.

Correlation, regression and index numbers

Steady10–15%

Short-cut formulas save real time here.

Permutations, combinations, sequences and probability

Rising10–15%

The most common source of wrong answers under time pressure.

Questions that repeat

These are the forms that come back attempt after attempt. Each one has an opening move — the thing to write down before you start computing.

01

Direct formula substitution

Every attempt1 mark each, many questions

Mean, median, standard deviation, simple and compound interest — one formula, one answer.

How to attack it

These are your guaranteed marks. Sweep the whole paper for them in the first pass and bank them before touching anything that needs derivation.

02

Logical reasoning set

Every attempt1 mark each

Series, coding, direction sense, seating arrangement.

How to attack it

Highest marks per minute in the paper. Do this block second, while concentration is still high.

03

Multi-step algebra or permutation problem

Every attempt1 mark each

Questions that need two or three steps of working before an option matches.

How to attack it

Third pass only. Where options are far apart, eliminate by approximation rather than solving fully.

04

Regression and correlation computation

Most attempts1 mark each

Coefficient calculation or interpretation from summary data.

How to attack it

Learn the relationship between the two regression coefficients and the correlation coefficient — it answers several questions without any computation.

Your three hours

A starting plan for the paper. Adapt the order to your own strengths — the point is to walk in with an order decided, because deciding it in the hall is what leaves questions unattempted.

  1. 0–45

    Pass one

    Answer every question you can finish in under 45 seconds. Do not stop to check. Mark anything that needs work.

  2. 45–85

    Pass two

    Return to the marked questions that need two or three steps. Solve, do not guess.

  3. 85–110

    Pass three

    Take the hardest remainder. Answer only where you can eliminate at least two options.

  4. 110–120

    Final check

    Verify the answer sheet against your marked paper. A shifted row costs more than any single hard question.

Avoidable losses

Every one of these costs marks after the work was already done. They are the cheapest marks on the paper to recover.

Guessing blind because a question is unanswered

What it costs

A quarter mark each time, compounding quietly

Do this instead

With negative marking, a blind guess across four options is mathematically negative. Answer only when at least two options are eliminated.

Solving in printed order

What it costs

Easy marks left unreached at the back of the paper

Do this instead

Every question is worth one mark. Order your attempt by speed, not by page number.

Rushing statistics formulas from memory

What it costs

Confidently wrong answers

Do this instead

Sample versus population divisors, and grouped versus ungrouped data, are the two slips that repeat. Write the formula before substituting.

How to prepare

  • Build a one-page formula sheet and use nothing else in the last week. This paper rewards automatic recall. If a formula needs a lookup during practice, it will cost 40 seconds in the exam.
  • Practise full 120-minute mocks, not chapter sets. The skill being tested is triage across 100 questions. You cannot rehearse that one chapter at a time.
  • Track your accuracy, not just your score. In a negatively marked paper, an 80% accuracy rate on 70 attempts beats a 60% rate on 100. Know which one you are.
FAQs

Have questions?
Find answers.

Still unsure about something? We're happy to help you figure it out.

Talk to us
Should I attempt all 100 questions?

Only if your accuracy is genuinely high. With a quarter-mark deduction, blind guesses have a negative expected value. Most students score better by attempting 75–85 questions with real reasoning behind each than by filling every row.

Which section should I start with?

Whichever is fastest for you, and it is usually logical reasoning or the direct-formula statistics questions. There is no order requirement and no bonus for following the printed sequence.

Is a calculator allowed?

A basic non-programmable calculator is permitted under ICAI's rules for the paper. Confirm the current permitted specification in your exam notification, and practise with the same model you will carry.

Related breakdowns

Please note

Weightage bands follow the skill-wise and chapter-wise weightage published in the ICAI syllabus and study material for the current scheme. Frequency labels (Every attempt / Most attempts / Alternate attempts / Occasional) describe recurring question forms observed across recent past papers and are editorial guidance, not an ICAI statistic — no breakdown here predicts what will be asked. Paper patterns, marks splits and the MCQ share change between schemes and notifications: always confirm against the exam notification and study material for your attempt before planning around any figure on this page.

Next step

You know what repeats. Now write it under a clock.

Practise Quantitative Aptitude the way it is actually examined — past questions by chapter, full papers timed, and every answer evaluated step by step.

Start practising free
  • Free to start
  • Chapter-wise practice
  • Examiner-style feedback

Keep studying on Kartavvya