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Divisibility Questions

Practice 34 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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34
Total Questions
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4
Easy
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30
Medium
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0
Hard
Practice by Exam:Quantitative Aptitude(28)Mathematics(4)Number System(1)Numerical Ability(1)

About divisibility — practice questions, PYQs & concepts

divisibility is a frequently-tested topic on Quantitative Aptitude, Mathematics, Number System. ExamTest.live currently lists 34 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 (28), Mathematics (4), Number System (1) and Numerical Ability (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 4 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(1–34 of 34)

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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 Exams2026
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 AptitudeCompetitive Exam2026
0% accuracy
What is the largest 4-digit number that is divisible by 10,15 and 18?
Q6easymcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Mohan divides by a certain number. If the quotient and the remainder he gets are and , respectively, then the divisor is:
Q7mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Which of the following numbers will completely divide ?
Q8mediummcqNumber SystemCompetitive Exam2026
0% accuracy
When a number is divided by 296, the remainder is 75. What will be the remainder when the same number is divided by 37?
Q9mediummcqQuantitative AptitudeSSC CGL2026
100% accuracy
What smallest number should be added to 2957 so that the sum is completely divisible by 17?
Q10easymcqQuantitative 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?
Q11mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Which of the following numbers will completely divide ?
Q12mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
If the 8-digit number 63k4021p is divisible by 72, then find the value of (5k−3p).
Q13mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
Find the smallest number which should be added to 3029 to get a number divisible by 18.
Q14mediummcqQuantitative AptitudeGeneral Aptitude Test2026
Find the largest possible -digit number divisible by , and .
Q15mediummcqQuantitative AptitudeGeneral Aptitude Test2026
The least number which when diminished by is divisible by each of , , , is:
Q16mediummcqQuantitative AptitudeWBCS Prelims 20212026
Find the largest possible 4-digit number divisible by 45, 18 and 35.
Q17mediummcqQuantitative AptitudeCompetitive Exam2026
A whole number which when divided by gives as remainder. What will be the remainder when is divided by ?
Q18mediummcqQuantitative AptitudeCompetitive Exam2026
A -digit number , where is at the hundredth place, is at the tenth place and is at the unit's place, is re-written as and is divided by the LCM of and . What will be the result?
Q19mediummcqQuantitative AptitudeSSC CGL2026
What smallest number should be added to so that the sum is completely divisible by ?
Q20mediummcqQuantitative AptitudeCompetitive Exam2026
The largest 5-digit number exactly divisible by 95 is ________.
Q21mediummcqQuantitative AptitudeStaff Selection Commission2026
Find the sum of the greatest 4-digit number divisible by 6 and the smallest 4-digit number divisible by 3.
Q22mediummcqQuantitative AptitudeCompetitive Exam2026
The largest number of four digits that is divisible by 12, 15 and 18 is ________.
Q23easymcqMathematicsUPTET 2021 Memory Based Paper 12026
The natural number nearest to 3070 which is completely divisible by 17 is:
Q24mediummcqMathematicsUPTET 2021 Memory Based Paper 12026
is divisible by:
Q25mediummcqNumerical AbilityUP Police Assistant Operator Exam2026
In a classroom, the number of boys is three times the number of girls. Which of the following totals cannot represent the number of children in the class?
Q26mediummcqQuantitative AptitudeSSC CGL2026
If the -digit number is exactly divisible by and , then the product of the digits and will be:
Q27mediummcqMathematicsUP Police Constable2026
and are both positive integers, and so is . What is the largest possible value of ?
Q28mediummcqQuantitative AptitudeSSC CGL2026
Mohan divides 18935 by a certain number. If the quotient and the remainder he gets are 102 and 65, respectively, then the divisor is:
Q29mediummcqQuantitative AptitudeCompetitive Exam2026
What is the average of all the numbers between 7 and 56 that are divisible by 6?
Q30mediummcqQuantitative AptitudeCompetitive Exam2026
If the 7-digit number 2y6810x is divisible by 88, then what is the value of the product of x and y?
Q31mediummcqQuantitative AptitudeCompetitive Exam2026
If the 7-digit number x468y05 is divisible by 11, then the maximum value of (x + y) is :
Q32mediummcqQuantitative AptitudeCompetitive Exam2026
The number 10000 is exactly divisible by which of the following numbers?
Q33mediummcqQuantitative AptitudePractice Test2026
Find the greatest number exactly divisible by , and .
Q34mediummcqQuantitative AptitudeSSC GD Constable2026
Find the nearest integer to 5347 which is exactly divisible by 137.

Frequently Asked Questions

How many Divisibility questions are on ExamTest.live?▼
We have 34 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, Number System, Numerical Ability. 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.