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Number Theory Questions

Practice 5 Number Theory questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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5
Total Questions
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1
Easy
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4
Medium
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0
Hard
Practice by Exam:Mathematics(3)Quantitative Aptitude(2)

About Number Theory — practice questions, PYQs & concepts

Number Theory is a frequently-tested topic on Mathematics, Quantitative Aptitude. ExamTest.live currently lists 5 Number Theory questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Number Theory weight in competitive exams

Across our Number Theory question bank, the largest sources are Mathematics (3) and Quantitative Aptitude (2). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 1 easy Number Theory questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Number Theory Questions(1–5 of 5)

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Q1mediummcqMathematicsMathematics Mock Test - 12026
18% accuracy
Let be a fixed integer and be arbitrary integers. If and , then which of the following is true?
Q2mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The sum of the two numbers is and their HCF is . How many pairs of these numbers are possible?
Q3easymcqQuantitative AptitudeCompetitive Exam2026
33% accuracy
What is the smallest positive integer that is divisible by both and ?
Q4mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
Let be the order of , then if and only if:
Q5mediummcqMathematicsMathematics Mock Test - 112026
Let and consider the relation defined by if and only if . Then is:

Frequently Asked Questions

How many Number Theory questions are on ExamTest.live?▼
We have 5 Number Theory questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Number Theory MCQs free?▼
Yes. All Number Theory questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Number Theory questions?▼
Number Theory questions are commonly asked in Mathematics, Quantitative Aptitude. You can filter by exam using the links above.
How do I practice Number Theory questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.