Mathematics · Group Theory

The set of integers &mathbb;Z forms a group under the binary operation * defined as:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1a * b = a + b + 2✓
2a * b = a + b + ab
3a * b = a - b
4a * b = a + 2b

Correct answer

a * b = a + b + 2

Download Single Question PDF

Save this question and verified answer as a clean study sheet with live clickable link.

👥

Share with Friends & Study Groups

Challenge your peer aspirants on WhatsApp or Telegram to solve this question!

Online Test Series

Preparing for Mathematics?

Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.

Start Free Mock Test →

Chapter Practice

Want more practice questions on Group Theory?

Solve complete topic-wise tests with detailed solutions on GkGet.

Practice Group Theory MCQs →

Recommended practice questions in Mathematics · Group Theory

Browse More Mathematics →

Which of the following events is considered a major turning point that fueled Indian nationalism during British rule due to its brutal nature and widespread condemnation?

Solve Question→

Which of the following events is considered the first major peasant uprising against the British in India?

Solve Question→

The set of integers &mathbb;Z forms a group under the binary operation * defined as:

Download Single Question PDF

Share with Friends & Study Groups

Preparing for Mathematics?

Practice by Subject

Practice by Exam

Topic-Wise Solved Questions

The set of integers &mathbb;Z forms a group under the binary operation * defined as:

Download Single Question PDF

Share with Friends & Study Groups

Preparing for Mathematics?

Related Practice Questions

Practice by Subject

Practice by Exam

Topic-Wise Solved Questions