Start learning →

CAT Modern Mathematics: related Quantitative Reasoning practice — page 2

The practice bank below covers broader Quantitative Reasoning topics; a dedicated Modern Mathematics lesson is not available yet.

Practise Quantitative Reasoning with Quill →

Quantitative Reasoning questions and exercises with answers

Showing questions 31–59 of 59.

Sabnam has 2 school bags, 3 tiffin boxes and 2 water bottles. Choosing one of each, she can carry them in:Read the answer and worked solution →If one event can happen in m ways and then another in n ways, the pair happens in:Read the answer and worked solution →Four letter words from the letters of ROSE, with no letter repeated, number:Read the answer and worked solution →If letters may repeat, the number of four letter words from R, O, S and E becomes:Read the answer and worked solution →With 4 flags of different colours, signals using 2 flags one below the other number:Read the answer and worked solution →Two digit even numbers formed from the digits 1, 2, 3, 4, 5 with repetition allowed number:Read the answer and worked solution →Using 5 different flags, signals of at least 2 flags on a staff number:Read the answer and worked solution →Three digit numbers from the digits 1 to 5, with repetition allowed, number:Read the answer and worked solution →Three digit numbers from the digits 1 to 5, with no digit repeated, number:Read the answer and worked solution →An arrangement in a definite order of objects taken some or all at a time is a:Read the answer and worked solution →Choosing 2 objects out of 3 without caring about order gives each result the name:Read the answer and worked solution →The product 1 times 2 times 3 up to n is written as:Read the answer and worked solution →The value of 5 factorial is:Read the answer and worked solution →The value of 6 factorial is:Read the answer and worked solution →The number of permutations of n different objects taken r at a time, with no repetition, is written as:Read the answer and worked solution →Permutations of n objects where p are alike and the rest all differ number:Read the answer and worked solution →The relation linking arrangements and selections of r objects from n is nPr equals:Read the answer and worked solution →The number of ways to arrange all 5 different flags on a staff is:Read the answer and worked solution →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

Sabnam has 2 school bags, 3 tiffin boxes and 2 water bottles. Choosing one of each, she can carry them in:

  1. 14 ways
  2. 12 ways
  3. 7 ways
  4. 10 ways
Show answer and solution

Correct answer: B. 12 ways

1. Bags and boxes give 2 times 3, or 6 pairs. 2. Each pair takes 2 bottle choices. 3. That gives 12 ways. _Source: syllabus Mathematics, Chapter 7, Permutations and Combinations._

Open this question →

If one event can happen in m ways and then another in n ways, the pair happens in:

  1. m times n ways
  2. m plus n ways
  3. m minus n ways
  4. m over n ways
Show answer and solution

Correct answer: A. m times n ways

1. Each way of the first pairs with every way of the second. 2. So the counts multiply. 3. The total is m times n. _Source: syllabus Mathematics, Chapter 7, Permutations and Combinations._

Open this question →

Four letter words from the letters of ROSE, with no letter repeated, number:

  1. 16
  2. 24
  3. 12
  4. 36
Show answer and solution

Correct answer: B. 24

1. The first place has 4 choices, then 3, then 2, then 1. 2. Multiply those together. 3. The count is 24. _Source: syllabus Mathematics, Chapter 7, Permutations and Combinations._

Open this question →

How to practise

  1. Choose a Quantitative Reasoning 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.

Put it into practice

Continue with Quantitative Reasoning practice for CAT. Read explanations as you go. No signup form needed to start.

Practise Quantitative Reasoning →

More Quantitative Reasoning topics

AlgebraLogical ReasoningPermutations and CombinationsQuantitative AptitudeAverages and MixturesSimple and Compound InterestBoats and StreamsPartnership