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Binary Operations

ICSE · Class 12 · Mathematics

Practice quiz for Binary Operations — ICSE Class 12 Mathematics. MCQs and questions with answers to test your preparation.

101 questions30 flashcards5 concepts

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Quick Quiz: Binary Operations

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1

A binary operation * on set A is a function *: A × A → A. This means for every a, b ∈ A, a*b must:

2

Which of the following is NOT a binary operation on ℕ?

3

The number of binary operations that can be defined on a set with 2 elements is:

4

A binary operation * is commutative if:

101 Questions·
multiple choicetrue false

Sample Questions

1multiple choice

A binary operation * is associative if:

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(a*b)*c = a*(b*c) for all a, b, c ∈ A

Associativity means grouping (brackets) doesn't matter: (a*b)*c = a*(b*c) for all elements.

2multiple choice

The identity element e for addition on ℝ is:

3multiple choice

The identity element for multiplication on ℝ is:

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1

a × 1 = 1 × a = a for all a ∈ ℝ. So 1 is the multiplicative identity.

4multiple choice

The inverse of element a under addition on ℝ is:

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−a

a + (−a) = 0 = identity. So the additive inverse of a is −a.

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Frequently Asked Questions

What are the important topics in Binary Operations for ICSE Class 12 Mathematics?
Key topics in Binary Operations include Decision tree to determine if an operation is binary based on closure property, Step-by-step process to verify binary operations with closure law, Test for commutativity with examples of commutative and non-commutative operations. These are the concepts ICSE Class 12 examiners draw on most — study them first, then practise related questions.
How to score full marks in Binary Operations — ICSE Class 12 Mathematics?
Understand the core concepts first, then work through the 101 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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