CAT Modern Maths Questions With Solutions

Modern Maths brings together permutations and combinations, probability, and set theory. Counting outcomes, identifying overlaps and organising cases are the common skills behind these topics. Sequences and series are listed separately under Algebra in this question bank.

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Why Modern Maths matters in CAT

Modern Maths questions appear regularly in CAT and are often short once the counting approach is clear, which makes them worth preparing.

Key modern maths concepts

Fundamental principle of counting
Permutations and combinations
Sample spaces and probability of events
Complements and inclusion–exclusion
Venn diagrams

Important formulas

{}^{n}P_{r} = \dfrac{n!}{(n-r)!}

{}^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}

P(A) = \dfrac{\text{Favourable outcomes}}{\text{Total equally likely outcomes}}

|A \cup B| = |A| + |B| - |A \cap B|

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Common mistakes

Mixing up when order matters (permutation) and when it does not (combination).
Counting the same arrangement twice in casework.
Forgetting to subtract the overlap in set problems.

Practical solving approaches

Ask whether order matters before you choose a formula.
Count the complement when the direct count is messy.
Draw a Venn diagram for every set question.

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Modern Maths FAQs

Is modern maths worth preparing for CAT?: Yes. The core formulas are few, and once you understand them many questions can be solved quickly.

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CAT Modern Maths Questions With Solutions

24 free modern maths practice questions. Answers and available explanations are shown after sign-in.

Important formulas

{}^{n}P_{r} = \dfrac{n!}{(n-r)!}

{}^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}

P(A) = \dfrac{\text{Favourable outcomes}}{\text{Total equally likely outcomes}}

|A \cup B| = |A| + |B| - |A \cap B|

Important formulas

{}^{n}P_{r} = \dfrac{n!}{(n-r)!}

{}^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}

P(A) = \dfrac{\text{Favourable outcomes}}{\text{Total equally likely outcomes}}

|A \cup B| = |A| + |B| - |A \cap B|

Loading practice data…

CAT Modern Maths Questions With Solutions

24 free modern maths practice questions. Answers and available explanations are shown after sign-in.

Important formulas

{}^{n}P_{r} = \dfrac{n!}{(n-r)!}

{}^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}

P(A) = \dfrac{\text{Favourable outcomes}}{\text{Total equally likely outcomes}}

|A \cup B| = |A| + |B| - |A \cap B|

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CAT Modern Maths Questions With Solutions

Why Modern Maths matters in CAT

Key modern maths concepts

Important formulas

Common mistakes

Practical solving approaches

Modern Maths FAQs

CAT Modern Maths Questions With Solutions

Why Modern Maths matters in CAT

Key modern maths concepts

Important formulas

CAT modern maths practice questions

Permutations & combinations

Probability

Set theory & Venn diagrams

Common mistakes

Practical solving approaches

Modern Maths FAQs

Related Quant topics

CAT Modern Maths Questions With Solutions

Why Modern Maths matters in CAT

Key modern maths concepts

Important formulas

Common mistakes

Practical solving approaches

Modern Maths FAQs

CAT Modern Maths Questions With Solutions

Why Modern Maths matters in CAT

Key modern maths concepts

Important formulas

CAT modern maths practice questions

Permutations & combinations

Probability

Set theory & Venn diagrams

Common mistakes

Practical solving approaches

Modern Maths FAQs

Related Quant topics