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100+ Free CA Foundation Paper 3 Practice Questions

Pass your ICAI CA Foundation Paper 3: Quantitative Aptitude exam on the first try — instant access, no signup required.

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The definite integral ∫₀¹ 3x² dx equals:

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Key Facts: CA Foundation Paper 3 Exam

100

Objective MCQs

ICAI Foundation Paper 3 Study Material

100 marks

Total Marks

ICAI New Scheme

2 hours

Duration

ICAI Exam Pattern

0.25

Negative Marking per Wrong Answer

ICAI Exam Pattern

40/20/40

Maths / Reasoning / Statistics Marks

ICAI Foundation Paper 3 Study Material

40%

Minimum Marks per Paper

ICAI Examination Rules

ICAI CA Foundation Paper 3 (Quantitative Aptitude) is a fully objective MCQ paper of 100 marks completed in 2 hours, with 0.25 marks deducted per wrong answer. Marks are split as Business Mathematics 40, Logical Reasoning 20, and Statistics 40 under the New Scheme of Education and Training applicable from the May 2026 examination onwards. A candidate must score at least 40% in the paper and 50% in aggregate across all four Foundation papers.

Sample CA Foundation Paper 3 Practice Questions

Try these sample questions to test your CA Foundation Paper 3 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1If A : B = 3 : 4 and B : C = 6 : 5, what is A : C?
A.9 : 10
B.3 : 5
C.18 : 20
D.4 : 5
Explanation: Make B common: A:B = 3:4 = 9:12 and B:C = 6:5 = 12:10. Then A:C = 9:10. Linking ratios requires expressing the common term (B) with the same value before reading the end terms.
2The value of (8)^(2/3) is:
A.16
B.4
C.6
D.2
Explanation: 8 = 2^3, so (8)^(2/3) = (2^3)^(2/3) = 2^(3 × 2/3) = 2^2 = 4. A fractional index a^(m/n) means the n-th root raised to the m-th power.
3If log₁₀ 2 = 0.3010, then log₁₀ 5 equals:
A.0.3010
B.0.7000
C.0.6990
D.0.1505
Explanation: 5 = 10/2, so log 5 = log 10 − log 2 = 1 − 0.3010 = 0.6990. Using the quotient law of logarithms avoids needing a separate table value for 5.
4The value of log₂ 32 is:
A.16
B.6
C.4
D.5
Explanation: 32 = 2^5, so log₂ 32 = 5. A logarithm answers 'to what power must the base be raised to get the number?'
5The roots of the quadratic equation x² − 5x + 6 = 0 are:
A.2 and 3
B.−2 and −3
C.1 and 6
D.5 and 6
Explanation: Factorise: x² − 5x + 6 = (x − 2)(x − 3) = 0, giving x = 2 or x = 3. The sum of roots (5) equals −b/a and the product (6) equals c/a, both confirmed.
6If the sum of two numbers is 20 and their difference is 4, the larger number is:
A.8
B.12
C.10
D.16
Explanation: Let the numbers be x and y with x + y = 20 and x − y = 4. Adding gives 2x = 24, so x = 12. Solving simultaneous linear equations by elimination isolates one variable directly.
7For the inequality 3x − 7 ≤ 2, the solution set (x real) is:
A.x ≥ 3
B.x ≤ 9
C.x ≤ 3
D.x < 3
Explanation: Add 7 to both sides: 3x ≤ 9, then divide by 3: x ≤ 3. Dividing by a positive number keeps the inequality direction unchanged, and the ≤ stays inclusive.
8A region defined by x ≥ 0, y ≥ 0 in the Cartesian plane represents:
A.The second quadrant
B.The whole plane
C.A single line
D.The first quadrant
Explanation: x ≥ 0 keeps points to the right of (or on) the y-axis and y ≥ 0 keeps points above (or on) the x-axis; together they define the first quadrant. Such non-negativity constraints are standard in linear programming feasible regions.
9What is the simple interest on ₹5,000 for 2 years at 8% per annum?
A.₹800
B.₹400
C.₹1,000
D.₹880
Explanation: SI = P × R × T / 100 = 5000 × 8 × 2 / 100 = ₹800. Simple interest is computed only on the original principal, so it stays the same each year.
10₹10,000 invested at 10% per annum compounded annually amounts to what after 2 years?
A.₹12,000
B.₹12,100
C.₹11,000
D.₹12,210
Explanation: A = P(1 + i)^n = 10000 × (1.10)² = 10000 × 1.21 = ₹12,100. Compounding adds interest on accumulated interest, exceeding simple interest of ₹12,000.

About the CA Foundation Paper 3 Exam

CA Foundation Paper 3, Quantitative Aptitude, is a fully objective 100-mark, 2-hour paper under the ICAI New Scheme (2023). It covers Business Mathematics (40 marks), Logical Reasoning (20 marks), and Statistics (40 marks), with 0.25 negative marking for each wrong answer.

Questions

100 scored questions

Time Limit

2 hours (120 minutes)

Passing Score

40% in Paper 3 and 50% aggregate across all four Foundation papers

Exam Fee

Covered within ICAI Foundation registration and examination fees; no separate per-paper fee is published (Institute of Chartered Accountants of India (ICAI))

CA Foundation Paper 3 Exam Content Outline

40 marks

Business Mathematics

Ratio and Proportion, Indices, Logarithms; Equations; Linear Inequalities; Mathematics of Finance (interest, annuities, depreciation, CAGR); Permutations and Combinations; Sequence and Series; Sets, Relations and Functions; and Differential and Integral Calculus in business and economics.

20 marks

Logical Reasoning

Number Series, Coding-Decoding and Odd Man Out; Direction Sense Test; Seating Arrangements; and Blood Relations, assessing analytical and deductive reasoning.

40 marks

Statistics

Statistical Description and Collection of Data, Sampling; Measures of Central Tendency and Dispersion; Probability; Theoretical Distributions; Correlation and Regression; and Index Numbers.

How to Pass the CA Foundation Paper 3 Exam

What You Need to Know

  • Passing score: 40% in Paper 3 and 50% aggregate across all four Foundation papers
  • Exam length: 100 questions
  • Time limit: 2 hours (120 minutes)
  • Exam fee: Covered within ICAI Foundation registration and examination fees; no separate per-paper fee is published

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

CA Foundation Paper 3 Study Tips from Top Performers

1Because of 0.25 negative marking, skip questions you cannot reasonably attempt rather than guessing blindly.
2Allocate study time by weightage: Business Mathematics and Statistics carry 40 marks each, while Logical Reasoning carries 20 marks.
3Memorise key formulas for mathematics of finance, permutations and combinations, and statistical measures, then practise applying them under time pressure.
4Logical Reasoning is the highest-accuracy, fastest-scoring section; practise direction-sense, seating, and blood-relation puzzles daily.
5Practise full 2-hour objective mocks to build speed, since the paper is entirely MCQ with no descriptive answers.
6Maintain an error log that separates conceptual mistakes from calculation slips to target the right kind of revision.

Frequently Asked Questions

How many questions are on CA Foundation Paper 3?

CA Foundation Paper 3 (Quantitative Aptitude) is a fully objective paper of 100 multiple-choice questions carrying 1 mark each, for a total of 100 marks, to be completed in 2 hours.

Is there negative marking in CA Foundation Paper 3?

Yes. ICAI applies negative marking in the objective papers of the Foundation examination. For Paper 3, 0.25 marks are deducted for every incorrect answer, so accuracy is critical.

What is the marks distribution in CA Foundation Paper 3?

Paper 3 carries 100 marks split as Business Mathematics 40 marks, Logical Reasoning 20 marks, and Statistics 40 marks under the ICAI New Scheme of Education and Training.

What is the passing requirement for CA Foundation Paper 3?

A candidate must secure at least 40% marks in Paper 3 individually and a minimum of 50% in aggregate across all four Foundation papers, after accounting for negative marking.

Which syllabus applies to CA Foundation Paper 3 in 2026?

The ICAI New Scheme of Education and Training, introduced in 2023, applies to Paper 3. The current study material edition is applicable for the May 2026 examination onwards.

What topics are in CA Foundation Paper 3?

Paper 3 covers Business Mathematics (ratio, indices, logarithms, equations, inequalities, mathematics of finance, permutations and combinations, sequences, sets, functions, and calculus), Logical Reasoning, and Statistics.