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Number System Questions

Practice 267 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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267
Total Questions
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29
Easy
🟡
232
Medium
🔴
6
Hard
Practice by Exam:Quantitative Aptitude(227)Mathematics(15)Mathematics and Science(11)Numerical Ability(4)General Intelligence and Reasoning(3)General Intelligence & Reasoning(2)Quantitative Aptitude@NUM: 63(1)Quantitative Aptitude@NUM: 72(1)

About Number System — practice questions, PYQs & concepts

Number System is a frequently-tested topic on Quantitative Aptitude, Mathematics, Mathematics and Science. ExamTest.live currently lists 267 Number System questions spanning previous-year papers from 2017 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 (227), Mathematics (15), Mathematics and Science (11), Numerical Ability (4) and General Intelligence and Reasoning (3). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 29 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(1–100 of 267)

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Q1hardmcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
6% accuracy
If the five-digit number is divisible by , and , then what is the value of ?
Q2hardmcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
3% accuracy
If is divisible by , then what is the value of ?
Q3mediummcqQuantitative AptitudeCompetitive Exam2026
7% accuracy
If the 6 digit number is completely divisible by 8, then the smallest integer in place of will be:
Q4mediummcqQuantitative AptitudeCompetitive Exam2026
21% accuracy
If is divisible by 9, the missing digit will be:
Q5mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
What is the HCF (highest common factor) of 57 and 513?
Q6mediummcqQuantitative AptitudeCompetitive Exam2026
25% accuracy
Find the number nearest to 51462, that is divisible by 8.
Q7mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If a 9-digit number 1039m837n is divisible by 72, then find the value of
n
2
−m
4


​
.
Q8mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The sum of three prime numbers is 90. If one of them exceeds another by 30, then one of the numbers is:
Q9mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The average of seven consecutive positive integers is . The smallest of these integers is :
Q10mediummcqQuantitative AptitudeCompetitive Exam Practice2026
33% accuracy
is a/an:
Q11mediummcqQuantitative AptitudeSSC CGL2026
33% accuracy
If
7
6
​
th of
5
8
​
th of a number is 192, then
4
3
​
th of that number is __________.
Q12mediummcqQuantitative AptitudeCompetitive Exam 20262026
33% accuracy
Which of the following numbers is divisible by 8?
Q13easymcqQuantitative AptitudeSSC CGL2026
0% accuracy
The number 7918378 is divisible by:
Q14mediummcqQuantitative AptitudeCompetitive Exam Practice2026
33% accuracy
If is a two-digit number, then will be completely divisible by:
Q15easymcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
Two numbers are in the ratio of 5:7 and their LCM is 385. Find the numbers.
Q16easymcqQuantitative AptitudeSSC CGL2026
0% accuracy
What least number must be subtracted from 2001 to get a number exactly divisible by 17?
Q17mediummcqQuantitative AptitudeSSC CGL2026
67% accuracy
Which of the following is a prime number?
Q18mediummcqQuantitative AptitudeCompetitive Exam 20262026
33% accuracy
If ∗ is a digit such that 7235∗ is divisible by 11, then the value of ∗ is:
Q19hardmcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
If the 6-digit number 608xy0 is divisible by both 3 and 11, then the non-zero digits in the hundred's place (x) and ten's place (y), respectively, are:
Q20mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Which of the following is the correct order?
Q21mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
HCF and LCM of two numbers are 19 and 969 respectively. If one number is 57, find the other number.
Q22mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
का भि न्ना त्मक रूप क्या हो गा ?
Q23mediummcqQuantitative AptitudeCompetitive Exam2026
50% accuracy
Find the smallest number which when divided by , , , and leaves the remainder in each case.
Q24mediummcqQuantitative AptitudeSSC CGL2026
50% accuracy
Reduce
1430
2530
​
to its lowest terms.
Q25easymcqQuantitative AptitudeSSC CGL2026
50% accuracy
Without actual division, find the remainder when 379843 is divided by 3.
Q26mediummcqQuantitative 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?
Q27mediummcqQuantitative AptitudeCompetitive Exam Practice Paper2026
0% accuracy
If the average of consecutive even numbers is , find the difference between the first and the last numbers.
Q28mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
If the six-digit number 15x1y2 is divisible by 44, then the minimum value of (x+y) is equal to:
Q29mediummcqQuantitative 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?
Q30mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
Find the Least Common Multiple (LCM) of , and .
Q31mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If is divided by 18, the remainder is
Q32mediummcqQuantitative AptitudeSSC CGL2026
100% accuracy
The tens digit of a 2-digit number is greater than the units digit by 2. If we subtract 18 from the number, the new number obtained is formed by interchanging the digits. Find the number.
Q33mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
Which of the following numbers is not a prime number?
Q34mediummcqMathematicsCompetitive Exam2026
0% accuracy
The greatest five-digit number which is a perfect square is:
Q35mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The sum of three positive numbers is 339. If the ratio of the first number to the second number is 3:7, and that of the second number to the third number is 5:9, then the second number is:
Q36mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The greatest number which divides and , leaves remainder and respectively is:
Q37mediummcqQuantitative AptitudeCompetitive Exam2026
100% accuracy
What is the least number to be added to 1500 to make it a perfect square
Q38mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
There are 100 questions in a question paper, each carrying 2 marks. But there is a negative marking. 1 mark is deducted for each question answered incorrectly. A student answering all the questions got 80 marks. The number of questions correctly answered by him is
Q39mediummcqQuantitative AptitudeCompetitive Exam2026
100% accuracy
What is the digit in the unit place of ?
Q40mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
100% accuracy
If N=(307)
38
+(524)
20
, then what is the unit digit of N?
Q41mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Which of the following numbers will completely divide ?
Q42easymcqQuantitative 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?
Q43mediummcqQuantitative 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.
Q44mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
What is the smallest number which when increased by 17 becomes exactly divisible by both 520 and 936?
Q45mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
What is the largest 4-digit number that is divisible by 10,15 and 18?
Q46mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Which of the following statement(s) is/are TRUE?
I.
324

​
+
3.24

​
+
0.0324

​
=19.98

II.
129+
121

​
+
361

​
+
100

​


​
=13
Q47mediummcqMathematicsStaff Selection Commission2026
0% accuracy
When 0.090909… is converted into a fraction, then the result is
Q48mediummcqQuantitative AptitudeSSC CGL2026
100% accuracy
What smallest number should be added to 2957 so that the sum is completely divisible by 17?
Q49mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
Find the smallest number which should be added to 3029 to get a number divisible by 18.
Q50mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
What least number can be multiplied by 165375 to make it a perfect cube?
Q51mediummcqAlgebraSSC CGL2026
0% accuracy
Divide 32 into two parts such that the sum of the square of the parts is 674. What is the value of the parts?
Q52mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Which of the following numbers will completely divide ?
Q53mediummcqQuantitative AptitudeSSC CGL2026
100% accuracy
Simplify:
Q54easymcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Which of the following numbers is perfectly divisible by ?
Q55mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
If the 8-digit number 63k4021p is divisible by 72, then find the value of (5k−3p).
Q56mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
If the 8-digit number 7y9745x2 is divisible by 72, then the value of (2x−y) for the greatest value of x is:
Q57mediummcqQuantitative AptitudeSSC CGL2026
100% accuracy
Find the value of .
Q58easymcqQuantitative 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:
Q59easymcqQuantitative AptitudeCompetitive Exam2026
100% accuracy
Two numbers are in the ratio of . If the difference between their squares is , then the numbers are:
Q60mediummcqQuantitative AptitudeStaff Selection Commission2026
100% accuracy
If an 11-digit number 765y88436x6 is divisible by 72, and x assumes the largest value, then what is the value of (x−y)?
Q61mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The sum of 3-digit numbers abc, bca and cab is always divisible by:
Q62mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Find the least value digit which is assigned to ∗ so that the number 1972∗471 is divisible by 9.
Q63mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
If the 9-digit number 957x5y6z3 is divisible by 33, then what is the maximum value of (x+y+z)?
Q64easymcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If the seven digit number is divisible by , then the value of is:
Q65mediummcqQuantitative AptitudeSSC CGL2026
100% accuracy
What is the value of ?
Q66mediummcqQuantitative 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?
Q67mediummcqQuantitative 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.
Q68mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
Two numbers are in the ratio and their HCF is . If one number is , then find the other number.
Q69mediummcqQuantitative AptitudeCompetitive Exam2026
Which of the following best describes a prime number?
Q70mediummcqQuantitative AptitudeCompetitive Exam2026
Find the value of such that a 6-digit number is divisible by 11.
Q71mediummcqQuantitative AptitudeCompetitive Exam2026
The HCF of two numbers and is . Find their LCM.
Q72mediummcqQuantitative AptitudeCompetitive Exam2026
are five consecutive odd numbers. If the sum of all these numbers is , what is the sum of and ?
Q73mediummcqQuantitative AptitudeCompetitive Exam2026
Find the greatest 5-digit number divisible by 12.
Q74mediummcqQuantitative AptitudeCompetitive Exam2026
Find the greatest number that exactly divides and .
Q75mediummcqQuantitative AptitudeCompetitive Exam2026
Convert 0.
57
into a fraction.
Q76mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
Find the value of
3k
3
+4

​
such that the 6-digit number 310k0k is divisible by 6.
Q77mediummcqQuantitative AptitudeCompetitive Exam2026
How many numbers less than 1,000 are multiples of both 7 and 11?
Q78mediummcqQuantitative AptitudeCompetitive Exam2026
The number of all prime numbers between 0 and 44 is:
Q79mediummcqQuantitative AptitudeCompetitive Exams2026
If two-fifth of three-eighth of one-sixth of a certain number is 52, what is 40% of the number?
Q80easymcqQuantitative AptitudeCompetitive Exam2026
Which of the following numbers is divisible by 4.
(i) 67920598
(ii) 618703592
(iii) 618703594
(iv) 67920590
Q81mediummcqQuantitative AptitudeCompetitive Exams2026
A 4-digit number '34PQ' is divisible by 3, 5 and 7. Find the value of P+Q.
Q82mediummcqQuantitative AptitudeCompetitive Exams2026
Which of the following numbers are divisible by 11?
(i) 29435417
(ii) 57463828
(iii) 57463824
(iv) 29435416
Q83easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
Find the value of k in the number 9314k8025 so that the number is divisible by 11.
Q84mediummcqQuantitative 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?
Q85easymcqQuantitative AptitudeCompetitive Exam2026
If the number 3727x4 is completely divisible by 8, then the smallest integer in place of x will be:
Q86easymcqQuantitative AptitudeCompetitive Exam2026
Which of the following numbers is divisible by 11?
Q87mediummcqQuantitative AptitudeCompetitive Exam2026
If 5
55
is divided by 4, then the remainder is:
Q88mediummcqQuantitative 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
Q89mediummcqQuantitative AptitudeCompetitive Exam Paper2026
The LCM and HCF of the numbers and are in the ratio of:
Q90mediummcqQuantitative AptitudePractice Test2026
The HCF of two numbers is and their LCM is . If one number is , what is the other number?
Q91mediummcqNumerical AbilityUP Police Constable2026
What is the HCF of 150, 225 and 375?
Q92mediummcqQuantitative 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?"
Q93easymcqQuantitative AptitudeCompetitive Exam Practice2026
Which of the following numbers is divisible by 9?
Q94mediummcqQuantitative AptitudeCompetitive Exam Practice2026
If a 9-digit number 389x6378y is divisible by 72, then the value of 6x+7y is:
Q95mediummcqQuantitative AptitudeCompetitive Exam2026
The five-digit number 725yz is divisible by 15. What is the maximum possible value of the product of y and z?
Q96mediummcqQuantitative AptitudeCompetitive Exam2026
The smallest perfect square number divisible by each of 6 and 12 is:
Q97mediummcqQuantitative AptitudeCompetitive Exam2026
Find the least square number which is divisible by 4,8,2,6 and 12?
Q98mediummcqNumerical AbilityUP Police Constable2026
What is the largest four-digit number that is divisible by each of 15, 25 and 35?
Q99easymcqQuantitative AptitudeStaff Selection Commission2026
The number 1254216 is divisible by which of the following numbers?
Q100hardmcqQuantitative 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 ?
123

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