HomeTestsSearchRankProfile

Divisibility Rules Questions

Practice 42 Divisibility Rules questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

📚
42
Total Questions
🟢
12
Easy
🟡
27
Medium
🔴
3
Hard
Practice by Exam:Quantitative Aptitude(38)Numerical Ability(1)Quantitative Aptitude@NUM: 63(1)Quantitative Aptitude@NUM: 72(1)General Intelligence & Reasoning(1)

About Divisibility Rules — practice questions, PYQs & concepts

Divisibility Rules is a frequently-tested topic on Quantitative Aptitude, Numerical Ability, Quantitative Aptitude@NUM: 63. ExamTest.live currently lists 42 Divisibility Rules 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 Rules weight in competitive exams

Across our Divisibility Rules question bank, the largest sources are Quantitative Aptitude (38), Numerical Ability (1), Quantitative Aptitude@NUM: 63 (1), Quantitative Aptitude@NUM: 72 (1) and General Intelligence & Reasoning (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 12 easy Divisibility Rules 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 Rules Questions(1–42 of 42)

Filter:
Q1hardmcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
7% accuracy
If is divisible by , then what is the value of ?
Q2hardmcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
7% accuracy
If the five-digit number is divisible by , and , then what is the value of ?
Q3mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If is divisible by 9, the missing digit will be:
Q4mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If the 6 digit number is completely divisible by 8, then the smallest integer in place of will be:
Q5easymcqQuantitative AptitudeSSC CGL2026
0% accuracy
The number 7918378 is divisible by:
Q6mediummcqQuantitative AptitudeCompetitive Exam 20262026
50% accuracy
Which of the following numbers is divisible by 8?
Q7mediummcqQuantitative AptitudeCompetitive Exam 20262026
50% accuracy
If ∗ is a digit such that 7235∗ is divisible by 11, then the value of ∗ is:
Q8mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
0% accuracy
Find the sum of the greatest and the smallest number which may replace k in the number 8130k36 so that the number is divisible by 8.
Q9mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
If is a two-digit number, then will be completely divisible by:
Q10mediummcqGeneral Intelligence & ReasoningStaff Selection Commission2026
Four options have been given out of which three are alike in some manner, while one is different. Choose the odd one.
Q11mediummcqQuantitative AptitudeCompetitive Exam2026
The five-digit number 725yz is divisible by 15. What is the maximum possible value of the product of y and z?
Q12easymcqQuantitative AptitudeStaff Selection Commission2026
Which of the following numbers is divisible by 36 ?
Q13easymcqQuantitative AptitudeStaff Selection Commission2026
The number 1254216 is divisible by which of the following numbers?
Q14mediummcqQuantitative AptitudeSSC GD Constable2026
What is the least value of k, so that 23k57 is divisible by 3?
Q15mediummcqQuantitative AptitudeSSC Competitive Exams2026
If a number is divisible by both 11 and 13, then it must be:
Q16mediummcqQuantitative AptitudeSSC Competitive Exams2026
If a 9-digit number 937X728Y6 is divisible by 72, then one of the possible values of X+Y is:
Q17easymcqQuantitative AptitudeSSC CGL2026
Which of the following numbers is divisible by 11?
Q18mediummcqQuantitative AptitudeCompetitive Exam2026
Find the greatest 5-digit number divisible by 12.
Q19mediummcqQuantitative AptitudeCompetitive Exams2026
A 4-digit number '34PQ' is divisible by 3, 5 and 7. Find the value of P+Q.
Q20mediummcqQuantitative AptitudeCompetitive Exams2026
Which of the following numbers are divisible by 11?
(i) 29435417
(ii) 57463828
(iii) 57463824
(iv) 29435416
Q21easymcqQuantitative AptitudeCompetitive Exam2026
If the number 3727x4 is completely divisible by 8, then the smallest integer in place of x will be:
Q22easymcqQuantitative AptitudeCompetitive Exam2026
Which of the following numbers is divisible by 11?
Q23mediummcqQuantitative AptitudeCompetitive Exam Practice2026
If a 9-digit number 389x6378y is divisible by 72, then the value of 6x+7y is:
Q24easymcqQuantitative AptitudeCompetitive Exam Practice2026
Which of the following numbers is divisible by 9?
Q25mediummcqQuantitative AptitudeCompetitive Exam2026
If the number 583a4a is divisible by 6, then what is the sum of all the possible values of a?
Q26easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
Find the smallest number which should be added to to get a number divisible by .
Q27mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
Find the value of
3k
3
+4

​
such that the 6-digit number 310k0k is divisible by 6.
Q28easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
Find the value of k in the number 9314k8025 so that the number is divisible by 11.
Q29mediummcqNumerical AbilityUP Police Constable2026
Which of the numbers given below is exactly divisible by 24?
Q30mediummcqQuantitative AptitudeCompetitive Exam2026
Find the largest number which should replace P in the 7-digit number 87893P4 to make the number divisible by 4.
Q31mediummcqQuantitative AptitudeCompetitive Exam2026
Find the smallest non-zero value of k so that the 7-digit number 48397k5 is divisible by 9.
Q32mediummcqQuantitative AptitudeCompetitive Exam2026
If the number 321a9246b is divisible by 72, then find the value of a
2
−b
2
.
Q33mediummcqQuantitative AptitudeCompetitive Exam2026
Find the sum of all the possible values of k in the number 341k145k so that the number is divisible by 3.
Q34mediummcqQuantitative AptitudeCompetitive Exam2026
Ram gives a six-digit number 468312 to Shyam to check the divisibility. Shyam tells Ram that the number is divisible by 57. Shyam asks Ram, "If we rearrange the digits of this number in descending order, then by which number will it be always divisible?"
Q35mediummcqQuantitative AptitudeCompetitive Exam2026
Find the largest value of k such that a 6-digit number 450k1k is divisible by 3.
Q36mediummcqQuantitative Aptitude@NUM: 63Competitive Exam2026
Find the smallest 4-digit number divisible by 8, formed using the digits 0, 2, 3, 4, 6, 8 without any repetition.
Q37easymcqQuantitative Aptitude@NUM: 72Competitive Exam2026
Find the number nearest to which is divisible by .
Q38mediummcqQuantitative AptitudeSSC CGL2026
If the six-digit number 15x1y2 is divisible by 44, then the minimum value of (x+y) is equal to:
Q39easymcqQuantitative AptitudeSSC CGL2026
Without actual division, find the remainder when 379843 is divided by 3.
Q40mediummcqQuantitative AptitudeCompetitive Exam2026
Find the value of such that a 6-digit number is divisible by 11.
Q41hardmcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
If the five-digit number 602xy is divisible by 7 and 33, then the value of (8x−3y) is:
Q42easymcqQuantitative AptitudeCompetitive Exam2026
Which of the following numbers is divisible by 4.
(i) 67920598
(ii) 618703592
(iii) 618703594
(iv) 67920590

Frequently Asked Questions

How many Divisibility Rules questions are on ExamTest.live?▼
We have 42 Divisibility Rules questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Divisibility Rules MCQs free?▼
Yes. All Divisibility Rules questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Divisibility Rules questions?▼
Divisibility Rules questions are commonly asked in Quantitative Aptitude, Numerical Ability, Quantitative Aptitude@NUM: 63, Quantitative Aptitude@NUM: 72, General Intelligence & Reasoning. You can filter by exam using the links above.
How do I practice Divisibility Rules 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.