Mathematics · Set Theory and Relations
Let p, q be non-negative integers. Consider the following statements: (A) There is an integer k ≥ 1 such that p + k = q. (B) There is an integer k ≥ 1 such that q + k = p. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1There exists p ≠ q such that both (A) and (B) are false.
- 2For all non-negative integers p and q, (A) or (B) is true.
- 3Both (A) and (B) are false if and only if p = q.✓
- 4There exist non-negative integers p, q such that both (A) and (B) are true.
Correct answer
Both (A) and (B) are false if and only if p = q.
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 Mathematics mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Set Theory and Relations MCQs →Want more practice questions on Set Theory and Relations?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Set Theory and Relations