Skip to main content
Super TutorResources
Chapter 3 of 13
Practice Quiz

Binary Operations — Practice Quiz

ICSE · Class 12 · Mathematics

Try a 4-question quiz on Binary Operations for ICSE Class 12 Mathematics: tap an answer to check it and see why. 101 questions in the full chapter test.

101 questions30 flashcards5 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Binary Operations? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.

Try Super Tutor — Free

Free trial, no card needed.

Quick Quiz: Binary Operations

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

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:

Show answer

(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:

Show answer

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:

Show answer

−a

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

+97 more questions on Binary Operations (ICSE Class 12 Mathematics)

Practise All

Frequently Asked Questions

What are the important topics in Binary Operations for ICSE Class 12 Mathematics?
Key topics in Binary Operations include Meaning of a Binary Operation, Number of Binary Operations on a Finite Set, Commutative and Associative Laws, Identity Element and Inverse. Study these first, then practise questions on each for the ICSE Class 12 board exam.
How many practice questions are there for Binary Operations?
There are 101 questions on Binary Operations. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

More resources for Binary Operations

All ICSE Class 12 Mathematics Practice Quiz

For serious students

Get the full Binary Operations chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 12 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free