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Defence | AFCAT

Quantitative Aptitude for AFCAT

AFCAT sets 25 Quantitative Aptitude questions for 75 marks in the AFCAT Online Test, so it is worth planning your preparation around the topics below.

25 questions75 marks5 topics

How to approach Quantitative Aptitude in AFCAT

Speed decides this section. The arithmetic and data-interpretation sets are where the marks are, so the priority is a reliable method and quick calculation rather than exotic shortcuts. Lock down tables, squares and reciprocals, then drill data interpretation until reading the set is faster than solving it.

Weightage in the paper

How much Quantitative Aptitude is worth in each AFCAT stage, from the official pattern.

StageQuestionsMarksTimeShare
AFCAT Online Test2575—25%

Quantitative Aptitude syllabus for AFCAT

Every topic in the official syllabus. The linked ones open a set of solved questions you can practise straight away.

  • Decimal fractions and simplification
  • Percentage, ratio and average
  • Profit and loss, simple interest
  • Time and work, time and distance
  • Number system

Sample Quantitative Aptitude questions with solutions

Written to the AFCAT pattern, with the answer key and the method behind it — a look at how the section is actually set before you drill the full topic sets.

Quadratic equations · solved example

Solve the two equations and choose the correct relation between x and y. I. x^2 - 27x + 180 = 0 II. y^2 - 15y + 56 = 0

  • x is greater than yCorrect
  • x is less than y
  • x is greater than or equal to y
  • x is less than or equal to y
  • x equals y, or no relation can be established

Solution

For the first, 180 splits as 12 and 15 which add to 27, so x is 12 or 15. For the second, 56 splits as 7 and 8 which add to 15, so y is 7 or 8. The smallest x is 12 and the largest y is 8, so every value of x exceeds every value of y and the relation is strictly greater than, option A. Because the ranges do not touch, the answer is a strict inequality rather than the 'or equal to' form, which is the distinction options A and C exist to test.

Number series · solved example

Find the next term: 3, 6, 12, 24, ?

  • 62
  • 44
  • 48Correct
  • 52
  • 34

Solution

Each term is 2 times the previous, so the next term is 24 × 2 = 48.

Number series · solved example

Find the next term: 2, 5, 9, 14, 20, ?

  • 35
  • 33
  • 27Correct
  • 19
  • 21

Solution

The gaps grow by one each step (3, 4, ...), so the next gap is 7, giving 20 + 7 = 27.

Quadratic equations · solved example

In each question two equations are given. Solve them and choose the relation between x and y. I. x^2 - 5x + 6 = 0 II. y^2 - 3y + 2 = 0

  • x > y
  • x < y
  • x >= yCorrect
  • x <= y
  • x = y or the relationship cannot be established

Solution

The first equation gives (x - 2)(x - 3) = 0, so x is 2 or 3. The second gives (y - 1)(y - 2) = 0, so y is 1 or 2. Across all pairs x is never smaller than y and can equal it (2 = 2), so x >= y.

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Practise Quantitative Aptitude

Untimed drills with the method shown after every question — the step between learning a topic and sitting it under a clock.

Sit Quantitative Aptitude under a real clock

Quantitative Aptitude shows up in every AFCAT mock test, in the same interface, with sectional locking and negative marking.

  • AFCAT: 28-question practice mock

    28 questions | 28 min

    Start

Frequently asked questions

How many Quantitative Aptitude questions are asked in AFCAT?

AFCAT AFCAT 02/2026 sets 25 Quantitative Aptitude questions for 75 marks in the AFCAT Online Test.

Is there negative marking for Quantitative Aptitude in AFCAT?

Yes. AFCAT deducts one third of a mark for each wrong answer, Quantitative Aptitude included, so unsure guesses cost you. Three marks are awarded for a correct answer and one mark is deducted for a wrong answer (one third of the marks for the question). Unanswered questions carry no penalty.

Which Quantitative Aptitude topics matter most for AFCAT?

The AFCAT syllabus lists Decimal fractions and simplification, Percentage, ratio and average, Profit and loss, simple interest, Time and work, time and distance, Number system. Weight your revision towards the ones you are weakest on and confirm the emphasis against the paper analysis for recent cycles.

How can I practise Quantitative Aptitude for AFCAT free?

Every Quantitative Aptitude question on this site is free and written to the exam pattern. Use the topic drills for instant-feedback practice, the daily quiz to keep the section warm, and the AFCAT mock tests to sit it under a real clock with negative marking.