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Divisibility Questions

Practice 11 Divisibility questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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11
Total Questions
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2
Easy
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9
Medium
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0
Hard

About divisibility — practice questions, PYQs & concepts

divisibility is a frequently-tested topic on Quantitative Aptitude, Mathematics. ExamTest.live currently lists 11 divisibility 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.

divisibility weight in competitive exams

Across our divisibility question bank, the largest sources are Quantitative Aptitude (10) and Mathematics (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 2 easy divisibility 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 Divisibility Questions(111 of 11)

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Q1mediummcqMathematicsMathematics Mock Test - 62026
0% accuracy
When is divided by a number , a remainder of is obtained. If , then the largest value of is:
Q2mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Find the smallest number which will be completely divisible by and .
Q3easymcqQuantitative AptitudeCompetitive Exam2026
33% accuracy
What is the smallest positive integer that is divisible by both and ?
Q4mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The least number that should be added to 2397 so that the sum is exactly divisible by 3,4,5 and 6?
Q5mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
Find the smallest number which should be added to 3029 to get a number divisible by 18.
Q6mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
If the 8-digit number 63k4021p is divisible by 72, then find the value of (5k−3p).
Q7easymcqQuantitative AptitudeSSC CGL2026
0% accuracy
In a division sum, the divisor is times the quotient and times the remainder. If the remainder is , then what is the dividend?
Q8mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Which of the following numbers will completely divide ?
Q9mediummcqQuantitative AptitudeSSC GD Constable2026
Find the nearest integer to 5347 which is exactly divisible by 137.
Q10mediummcqQuantitative AptitudePractice Test2026
Find the greatest number exactly divisible by , and .
Q11mediummcqQuantitative AptitudeCompetitive Exam2026
The number 10000 is exactly divisible by which of the following numbers?

Frequently Asked Questions

How many Divisibility questions are on ExamTest.live?
We have 11 Divisibility questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Divisibility MCQs free?
Yes. All Divisibility questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Divisibility questions?
Divisibility questions are commonly asked in Quantitative Aptitude, Mathematics. You can filter by exam using the links above.
How do I practice Divisibility 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.