Start learning →

CAT Permutations and Combinations — practice questions — page 2

Explore 41 free Permutations and Combinations questions in CAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

Practise Permutations and Combinations with Quill →

Permutations and Combinations questions and exercises with answers

Showing questions 31–41 of 41.

Three digit even numbers from the digits 1 to 6, with repetition allowed, number:Read the answer and worked solution →Signals using exactly 3 flags out of 5 different flags number:Read the answer and worked solution →Signals using exactly 4 flags out of those 5 different flags number:Read the answer and worked solution →Catch the counting wordsRead the answer and worked solution →Pop the right countsRead the answer and worked solution →Run the counting gatesRead the answer and worked solution →Slice the counting wordsRead the answer and worked solution →Order or no orderRead the answer and worked solution →Sort the flag countsRead the answer and worked solution →Type the numberRead the answer and worked solution →Counting bingoRead the answer and worked solution →

Worked practice questions

Three digit even numbers from the digits 1 to 6, with repetition allowed, number:

  1. 144
  2. 108
  3. 96
  4. 120
Show answer and solution

Correct answer: B. 108

1. The units place must be 2, 4 or 6, so 3 ways. 2. The other two places have 6 choices each. 3. That gives 3 times 36, or 108. _Source: syllabus Mathematics, Chapter 7, Permutations and Combinations._

Open this question →

Signals using exactly 3 flags out of 5 different flags number:

  1. 120
  2. 45
  3. 60
  4. 20
Show answer and solution

Correct answer: C. 60

1. The places offer 5, then 4, then 3 choices. 2. Multiply them. 3. The count is 60. _Source: syllabus Mathematics, Chapter 7, Permutations and Combinations._

Open this question →

Signals using exactly 4 flags out of those 5 different flags number:

  1. 60
  2. 20
  3. 240
  4. 120
Show answer and solution

Correct answer: D. 120

1. The places offer 5, 4, 3 and 2 choices. 2. Multiply them together. 3. The count is 120. _Source: syllabus Mathematics, Chapter 7, Permutations and Combinations._

Open this question →

How to practise

  1. Choose a Permutations and Combinations question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Quantitative Aptitude topics

Quantitative AptitudeAlgebraNumber SystemModern MathematicsRatio and ProportionTime Speed and DistanceTime and WorkPercentages