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Aptitude360

Permutations and Combinations Level - 3

Practice Permutations and Combinations Level - 3 to strengthen advanced counting, arrangement, selection, and combinatorics problem-solving skills for competitive exams.

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Questions, answer key and solutions.

Questions
50
Duration
40 min
Marks
150

Negative marking

Attempts
100
Access
Free

Normal practice, or a Simulated test

The same questions, either way. Normal practice teaches; the simulated test tells you where you stand.

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Normal

Untimed

Every question on one page, loading as you scroll. Choose an option and see straight away whether it was right.

  • No timer. Nothing to start and nothing to submit. Stop whenever you like.
  • Answered as you choose. Tap an option and it is marked at once, with the correct answer shown.
  • Solutions in place. The explanation, and the video where one has been added, sit under the question.
  • Open to guests. Normal practice needs no sign-in.
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Real exam conditions

Simulated

Timed CBT

The computer-based test format: one clock, a question palette, and a score the moment you submit.

  • A clock that does not pause. 40 minutes from the moment you begin, and the paper is submitted for you when it reaches zero.
  • Question palette. Answered, not answered and marked for review, section by section, as the real interface has it.
  • Full screen, proctored. The test takes over the screen; leaving it three times submits the paper.
  • Answers hidden until you submit. The key, the explanations and your score all arrive together at the end.

About this test

Permutations and Combinations Level - 3

Permutations and Combinations Level - 3 is designed for advanced practice in counting, arrangements, selections, and combinatorics. This practice set helps learners apply permutation and combination concepts to more challenging problems and develop efficient mathematical problem-solving strategies.

What This Practice Set Covers

  • Advanced permutation concepts
  • Advanced combination concepts
  • Complex counting principles
  • Arrangements with restrictions
  • Selection-based problems
  • Multiple-condition counting problems
  • Application of permutation and combination formulas
  • Logical and analytical approaches to combinatorics
  • Advanced problem-solving techniques

Permutation and Combination Concepts

Permutations deal with arrangements where order is important, while combinations deal with selections where order does not create a different outcome. At an advanced level, questions may involve restrictions, multiple conditions, repeated elements, or different stages of selection and arrangement.

Skills Developed

  • Advanced counting ability
  • Logical reasoning
  • Combinatorial thinking
  • Analytical problem-solving
  • Mathematical accuracy
  • Efficient application of formulas
  • Complex case analysis

Why Practise Permutations and Combinations Level - 3?

Advanced practice helps learners handle complex counting situations and recognise the most appropriate method for a given problem. It also improves accuracy, logical thinking, and the ability to break difficult problems into manageable cases.

Competitive Exam Preparation

Permutations and Combinations is an important area of quantitative aptitude and mathematical reasoning. Level - 3 practice is useful for learners who have already developed the fundamentals and want to improve their ability to solve higher-level combinatorics problems.

Aptitude360 Preparation

Use Permutations and Combinations Level - 3 as part of the Aptitude360 practice series to strengthen advanced concepts, improve problem-solving efficiency, and build confidence for quantitative aptitude and competitive examinations.

Test structure

How the paper is split, and how long each part runs. A section you have finished cannot be returned to.

SectionQuestionsTime
Permutations and Combinations Level - 35040 min

Marking & rules

Total marks
150 across 50 questions.
Negative marking
A wrong answer costs marks. Leaving a question unanswered costs nothing.
Attempts
100 in total. An attempt is spent the moment you begin one.

What you get when you submit

The analysis is ready the moment you submit the paper.

Score and accuracy

Marks, percentage, right, wrong and skipped, and the time you took.

Section by section

The same figures for each section, so a weak one cannot hide in an average.

The full answer key

Every question with your answer, the right one, the working, and the video where there is one.

Where you stand

Your score against the spread of everyone else who has sat this test.

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