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Important Questions

Binary Operations

ICSE · Class 12 · Mathematics

Most important questions from Binary Operations for ICSE Class 12 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

101 questions30 flashcards5 concepts

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101 Questions·
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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.

+97 more questions available

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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.
How many important questions are there in Binary Operations?
There are 101 practice questions available for Binary Operations. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

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

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