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Number System Questions

Practice 84 Number System questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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84
Total Questions
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15
Easy
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65
Medium
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4
Hard
Practice by Exam:Quantitative Aptitude(78)Numerical Ability(2)General Intelligence and Reasoning(1)Quantitative Aptitude@NUM: 63(1)Quantitative Aptitude@NUM: 72(1)Quantitative Aptitude@NUM: 70(1)

About Number System — practice questions, PYQs & concepts

Number System is a frequently-tested topic on Quantitative Aptitude, Numerical Ability, General Intelligence and Reasoning. ExamTest.live currently lists 84 Number System 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 System weight in competitive exams

Across our Number System question bank, the largest sources are Quantitative Aptitude (78), Numerical Ability (2), General Intelligence and Reasoning (1), Quantitative Aptitude@NUM: 63 (1) and Quantitative Aptitude@NUM: 72 (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 15 easy Number System 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 System Questions(1–84 of 84)

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Q1hardmcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
7% accuracy
If the five-digit number is divisible by , and , then what is the value of ?
Q2hardmcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
7% accuracy
If is divisible by , then what is the value of ?
Q3mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If the 6 digit number is completely divisible by 8, then the smallest integer in place of will be:
Q4mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If is divisible by 9, the missing digit will be:
Q5mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The average of seven consecutive positive integers is . The smallest of these integers is :
Q6mediummcqQuantitative AptitudeCompetitive Exam Practice Paper2026
0% accuracy
If the average of consecutive even numbers is , find the difference between the first and the last numbers.
Q7mediummcqQuantitative AptitudeCompetitive Exam2026
50% accuracy
Find the smallest number which when divided by , , , and leaves the remainder in each case.
Q8easymcqQuantitative AptitudeSSC CGL2026
0% accuracy
The number 7918378 is divisible by:
Q9easymcqQuantitative AptitudeSSC CGL2026
0% accuracy
What least number must be subtracted from 2001 to get a number exactly divisible by 17?
Q10mediummcqQuantitative 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?
Q11mediummcqQuantitative AptitudeCompetitive Exam 20262026
50% accuracy
If ∗ is a digit such that 7235∗ is divisible by 11, then the value of ∗ is:
Q12mediummcqQuantitative AptitudeCompetitive Exam 20262026
50% accuracy
Which of the following numbers is divisible by 8?
Q13mediummcqQuantitative 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.
Q14mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The LCM of two numbers is times their HCF. The sum of HCF and LCM is . If one of the numbers is , then find the other number.
Q15mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
100% accuracy
If N=(307)
38
+(524)
20
, then what is the unit digit of N?
Q16mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Find the least value digit which is assigned to ∗ so that the number 1972∗471 is divisible by 9.
Q17mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
Find the Least Common Multiple (LCM) of , and .
Q18mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
Three-fourths of the first number is equal to the square of the second number. If the second number is of , what is the sum of the first and second numbers?
Q19mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
Two numbers are in the ratio and their HCF is . If one number is , then find the other number.
Q20mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The pass percentage of an examination is . If a student who got failed by , what are the maximum marks of the examination?
Q21easymcqQuantitative 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?
Q22mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Which of the following numbers will completely divide ?
Q23mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
is a/an:
Q24mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
If is a two-digit number, then will be completely divisible by:
Q25mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
If the 8-digit number 63k4021p is divisible by 72, then find the value of (5k−3p).
Q26mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
Find the smallest number which should be added to 3029 to get a number divisible by 18.
Q27mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
का भि न्ना त्मक रूप क्या हो गा ?
Q28mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The greatest number which divides and , leaves remainder and respectively is:
Q29easymcqQuantitative AptitudeSSC CGL2026
Which of the following numbers is divisible by 11?
Q30mediummcqQuantitative AptitudeCompetitive Exam2026
What is the greatest 3-digit number divisible by 4, 5 and 6?
Q31mediummcqQuantitative AptitudeSSC Competitive Exams2026
If a 9-digit number 937X728Y6 is divisible by 72, then one of the possible values of X+Y is:
Q32mediummcqQuantitative AptitudeSSC Competitive Exams2026
If a number is divisible by both 11 and 13, then it must be:
Q33mediummcqQuantitative AptitudeCompetitive Exams2026
A 4-digit number '34PQ' is divisible by 3, 5 and 7. Find the value of P+Q.
Q34easymcqQuantitative AptitudeCompetitive Exam2026
If the number 3727x4 is completely divisible by 8, then the smallest integer in place of x will be:
Q35mediummcqQuantitative AptitudeD.ZU-242026
Which of the following numbers is different from the rest?
Q36hardmcqQuantitative AptitudeSSC CGL2026
Let be the least multiple of which when divided by and leaves the remainders and respectively. What is the sum of digits of ?
Q37mediummcqQuantitative AptitudeCompetitive Exam2026
Find the least square number which is divisible by 4,8,2,6 and 12?
Q38mediummcqQuantitative AptitudeCompetitive Exam2026
The smallest perfect square number divisible by each of 6 and 12 is:
Q39easymcqQuantitative AptitudeCompetitive Exam Practice2026
Which of the following numbers is divisible by 9?
Q40mediummcqQuantitative AptitudeCompetitive Exam Practice2026
If a 9-digit number 389x6378y is divisible by 72, then the value of 6x+7y is:
Q41mediummcqQuantitative AptitudePractice Test2026
The HCF of two numbers is and their LCM is . If one number is , what is the other number?
Q42mediummcqQuantitative AptitudePractice Paper2026
Convert all the numbers to decimals if necessary, and then arrange them in descending order.
3/5, 0.62, 0.602, 0.61
Q43easymcqQuantitative AptitudeCompetitive Exam2026
Which of the following numbers is divisible by 11?
Q44mediummcqQuantitative AptitudeCompetitive Exam2026
The HCF of two numbers and is . Find their LCM.
Q45mediummcqQuantitative AptitudeCompetitive Exams2026
If two-fifth of three-eighth of one-sixth of a certain number is 52, what is 40% of the number?
Q46mediummcqQuantitative AptitudeCompetitive Exams2026
Which of the following numbers are divisible by 11?
(i) 29435417
(ii) 57463828
(iii) 57463824
(iv) 29435416
Q47mediummcqQuantitative Aptitude@NUM: 70SSC CGL2026
Let be the least number which when divided by and leaves the remainders and , respectively, but is divisible by . When is divided by , the quotient is:
Q48mediummcqQuantitative AptitudeCompetitive Exam2026
The number of all prime numbers between 0 and 44 is:
Q49mediummcqQuantitative AptitudeCompetitive Exam2026
Convert 0.
57
into a fraction.
Q50mediummcqQuantitative AptitudeCompetitive Exam2026
are five consecutive odd numbers. If the sum of all these numbers is , what is the sum of and ?
Q51mediummcqQuantitative AptitudeCompetitive Exam2026
Find the greatest number that exactly divides and .
Q52mediummcqQuantitative AptitudeCompetitive Exam2026
Which of the following best describes a prime number?
Q53easymcqQuantitative Aptitude@NUM: 72Competitive Exam2026
Find the number nearest to which is divisible by .
Q54mediummcqQuantitative AptitudeCompetitive Exam2026
Find the HCF of .
Q55mediummcqQuantitative AptitudeCompetitive Exam2026
Find the HCF of .
Q56mediummcqQuantitative AptitudeCompetitive Exam Paper2026
The LCM and HCF of the numbers and are in the ratio of:
Q57easymcqGeneral Intelligence and ReasoningCompetitive Exam2026
Which of the following numbers is different from the rest?
Q58hardmcqQuantitative 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:
Q59easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
Find the smallest number which should be added to to get a number divisible by .
Q60mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
Find the value of
3k
3
+4

​
such that the 6-digit number 310k0k is divisible by 6.
Q61easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
Find the value of k in the number 9314k8025 so that the number is divisible by 11.
Q62mediummcqNumerical AbilityUP Police Constable2026
What is the largest four-digit number that is divisible by each of 15, 25 and 35?
Q63mediummcqNumerical AbilityUP Police Constable2026
What is the HCF of 150, 225 and 375?
Q64mediummcqQuantitative AptitudeCompetitive Exam2026
If the number 321a9246b is divisible by 72, then find the value of a
2
−b
2
.
Q65mediummcqQuantitative AptitudeCompetitive Exam2026
Find the sum of all the possible values of k in the number 341k145k so that the number is divisible by 3.
Q66mediummcqQuantitative AptitudeCompetitive Exam2026
If the number 583a4a is divisible by 6, then what is the sum of all the possible values of a?
Q67mediummcqQuantitative AptitudeCompetitive Exam2026
Find the largest value of k such that a 6-digit number 450k1k is divisible by 3.
Q68mediummcqQuantitative 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.
Q69mediummcqQuantitative AptitudePractice Mock2026
Which least number should be subtracted from 5825 to make it a perfect square?
Q70mediummcqQuantitative AptitudeSSC CGL2026
If the six-digit number 15x1y2 is divisible by 44, then the minimum value of (x+y) is equal to:
Q71easymcqQuantitative AptitudeSSC CGL2026
Without actual division, find the remainder when 379843 is divided by 3.
Q72mediummcqQuantitative AptitudeCompetitive Exam2026
Find the value of such that a 6-digit number is divisible by 11.
Q73mediummcqQuantitative AptitudeCompetitive Exam2026
Find the greatest 5-digit number divisible by 12.
Q74mediummcqQuantitative AptitudeCompetitive Exam2026
How many numbers less than 1,000 are multiples of both 7 and 11?
Q75easymcqQuantitative AptitudeCompetitive Exam2026
Which of the following numbers is divisible by 4.
(i) 67920598
(ii) 618703592
(iii) 618703594
(iv) 67920590
Q76mediummcqQuantitative AptitudeCompetitive Exam2026
A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 13. What is the value of the divisor?
Q77mediummcqQuantitative AptitudeCompetitive Exam2026
If 5
55
is divided by 4, then the remainder is:
Q78mediummcqQuantitative 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?"
Q79mediummcqQuantitative AptitudeCompetitive Exam2026
The five-digit number 725yz is divisible by 15. What is the maximum possible value of the product of y and z?
Q80easymcqQuantitative AptitudeStaff Selection Commission2026
Which of the following numbers is divisible by 36 ?
Q81easymcqQuantitative AptitudeStaff Selection Commission2026
The number 1254216 is divisible by which of the following numbers?
Q82mediummcqQuantitative AptitudeSSC GD Constable2026
Find the nearest integer to 5347 which is exactly divisible by 137.
Q83mediummcqQuantitative AptitudeSSC GD Constable2026
Find the average of the prime numbers lying between 68 and 96.
Q84mediummcqQuantitative AptitudeSSC GD Constable2026
What is the least value of k, so that 23k57 is divisible by 3?

Frequently Asked Questions

How many Number System questions are on ExamTest.live?▼
We have 84 Number System questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
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Which exams include Number System questions?▼
Number System questions are commonly asked in Quantitative Aptitude, Numerical Ability, General Intelligence and Reasoning, Quantitative Aptitude@NUM: 63, Quantitative Aptitude@NUM: 72. You can filter by exam using the links above.
How do I practice Number System 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.