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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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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)

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Q101mediummcqQuantitative AptitudeCompetitive Exam2026
The largest 5-digit number exactly divisible by 95 is ________.
Q102easymcqQuantitative AptitudeStaff Selection Commission2026
The number 1254216 is divisible by which of the following numbers?
Q103hardmcqQuantitative 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 ?
Q104mediummcqQuantitative AptitudeStaff Selection Commission2026
The sum of the digits of a 2-digit number is 17. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.
Q105mediummcqQuantitative AptitudeSSC CGL2026
HCF and LCM of two numbers are 11 and 825 respectively. If one number is 275, find the other number.
Q106mediummcqQuantitative AptitudeCompetitive Exam2026
The number 10000 is exactly divisible by which of the following numbers?
Q107mediummcqQuantitative AptitudeStaff Selection Commission2026
Find the unit place digit in (192)
102
+(193)
103
.
Q108mediummcqQuantitative AptitudeCompetitive Exam2026
The greatest number which divides and , leaving remainder and respectively is:
Q109mediummcqQuantitative AptitudeSSC CGL2026
What smallest number should be added to so that the sum is completely divisible by ?
Q110mediummcqQuantitative AptitudeCompetitive Exam2026
Find the average of all prime numbers between 42 and 75.
Q111mediummcqQuantitative AptitudeSSC CGL2026
A number is greater than five times its reciprocal by . Find the number.
Q112mediummcqQuantitative AptitudeCompetitive Exam2026
The sum of the digits of a 2-digit number is 12. If we add 54 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.
Q113mediummcqQuantitative AptitudeCompetitive Exam2026
A number is three times another number and their HCF is 8. What is the sum of the squares of the numbers?
Q114mediummcqQuantitative AptitudeSSC CGL2026
Product of digits of a 2-digit number is 72. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.
Q115mediummcqQuantitative AptitudeSSC CGL2026
Arrange the following numbers in ascending order:
6
4
,3
33
,4
34
,4
6
,3
3
,3
4

Based on the choices provided below, choose the correct relative order of the key terms:
Q116mediummcqQuantitative AptitudeSSC CGL2026
A number 35786X625 is completely divisible by 9. Find the smallest whole digit number in the place of 'X'.
Q117mediummcqQuantitative AptitudeStaff Selection Commission2026
of of a number is greater than of of the same number by . Find the quadruple of the number.
Q118mediummcqQuantitative AptitudeSSC CGL2026
On dividing a number by 47, we get 75 as quotient and 18 as remainder. What is the number?
Q119mediummcqQuantitative AptitudeSSC CGL2026
The sum of a non-zero number and twice its reciprocal is
4
33
​
. Find the number.
Q120easymcqGeneral Intelligence and ReasoningCompetitive Exam2026
Which of the following numbers is different from the rest?
Q121mediummcqQuantitative AptitudePractice Test2026
Which of the following numbers is not a perfect square?
Q122mediummcqQuantitative AptitudeSSC CGL2026
If the number 583_437 is completely divisible by 9, then the smallest whole number in the place of the blank digit will be:
Q123mediummcqQuantitative AptitudePractice Test2026
Arrange the following real numbers in ascending order:
Q124easymcqMathematicsUPTET 2021 Memory Based Paper 12026
The natural number nearest to 3070 which is completely divisible by 17 is:
Q125mediummcqQuantitative AptitudeCompetitive Exam2026
Find the HCF of .
Q126mediummcqQuantitative AptitudeCompetitive Exam2026
Find the HCF of .
Q127mediummcqQuantitative AptitudeUP Police Constable2026
What is the least number which when divided by , and leaves in each case a remainder of ?
Q128mediummcqQuantitative AptitudeCompetitive Exam2026
If the 7-digit number 2y6810x is divisible by 88, then what is the value of the product of x and y?
Q129easymcqQuantitative AptitudeUP Police Constable2026
Find the difference between the largest -digit number and the smallest -digit number.
Q130mediummcqQuantitative AptitudeCompetitive Exam2026
Find the greatest 5-digit number divisible by 12.
Q131mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
Find the value of
3k
3
+4

​
such that the 6-digit number 310k0k is divisible by 6.
Q132mediummcqQuantitative AptitudeCompetitive Exam2026
A -digit number is divisible by . Which digit can replace ?
Q133mediummcqQuantitative AptitudeCompetitive Exam2026
Convert 0.
57
into a fraction.
Q134mediummcqQuantitative AptitudeCompetitive Exam2026
How many numbers less than 1,000 are multiples of both 7 and 11?
Q135mediummcqQuantitative AptitudeCompetitive Exam2026
Which of the following is a pair of coprime numbers?
Q136mediummcqQuantitative AptitudeCompetitive Exam2026
Find the least number by which must be multiplied to make it a perfect square.
Q137mediummcqQuantitative AptitudeStaff Selection Commission2026
If a nine-digit number 385x3678y is divisible by 72, then the value of (y−x) is:
Q138mediummcqQuantitative AptitudeCompetitive Exams2026
If two-fifth of three-eighth of one-sixth of a certain number is 52, what is 40% of the number?
Q139mediummcqQuantitative AptitudeCompetitive Exam2026
If a nine-digit number 785x3678y is divisible by 72, then the value of (7x−5y) is:
Q140easymcqQuantitative AptitudeCompetitive Exam2026
Which of the following numbers is divisible by 4.
(i) 67920598
(ii) 618703592
(iii) 618703594
(iv) 67920590
Q141mediummcqQuantitative AptitudeSSC CGL2026
If the sum of two numbers is 126 and their HCF and LCM are 7 and 180, respectively, then the sum of the reciprocals of the two numbers is:
Q142mediummcqQuantitative AptitudeCompetitive Exams2026
Which of the following numbers are divisible by 11?
(i) 29435417
(ii) 57463828
(iii) 57463824
(iv) 29435416
Q143mediummcqQuantitative AptitudeSSC GD Constable2026
Find the nearest integer to 5347 which is exactly divisible by 137.
Q144mediummcqQuantitative AptitudeCompetitive Exam2026
In a division problem, the divisor is times the quotient and 96$, find the dividend.
Q145mediummcqQuantitative AptitudeSSC CGL2026
What is the LCM (least common multiple) of 57 and 93?
Q146mediummcqQuantitative AptitudeSSC CGL2026
Product of digits of a 2-digit number is 27. If we add 54 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.
Q147mediummcqQuantitative AptitudeSSC GD Constable2026
What is the least value of k, so that 23k57 is divisible by 3?
Q148mediummcqQuantitative AptitudePractice Test2026
Evaluate the expressions: (where is an integer). Then list their numerical values in increasing order. If a value appears more than once, include it as many times as it occurs.
Q149mediummcqQuantitative AptitudePractice Test2026
What is the unit digit in the expansion of ?
Q150mediummcqQuantitative AptitudeCompetitive Exam2026
Find the sum of all the possible values of k in the number 341k145k so that the number is divisible by 3.
Q151mediummcqQuantitative AptitudeSSC GD Constable2026
Find the average of the prime numbers lying between 68 and 96.
Q152mediummcqQuantitative AptitudePractice Test2026
A number is selected at random from to . What is the probability that the number is divisible by and has exactly two even digits?
Q153mediummcqGeneral Intelligence and ReasoningPractice Test2026
A number is chosen at random from to . What is the probability that it is a perfect square or a multiple of ?
Q154mediummcqQuantitative AptitudePractice Mock2026
Which least number should be subtracted from 5825 to make it a perfect square?
Q155mediummcqQuantitative AptitudeSSC CGL2026
If the seven-digit number 49x29y6 is divisible by 72, then what will be the value of (x+2y) for the largest value of x and y?
Q156mediummcqQuantitative AptitudePractice Test2026
If the average of consecutive even numbers is , find the smallest number.
Q157mediummcqQuantitative AptitudeCompetitive Exam2026
The five-digit number 725yz is divisible by 15. What is the maximum possible value of the product of y and z?
Q158mediummcqQuantitative AptitudeCompetitive Exam2026
Find the least square number which is divisible by 4,8,2,6 and 12?
Q159mediummcqQuantitative AptitudeStaff Selection Commission2026
What is the value of (91+92+93+⋯+140)?
Q160mediummcqNumerical AbilityUP Police Constable2026
What is the largest four-digit number that is divisible by each of 15, 25 and 35?
Q161mediummcqQuantitative AptitudeCompetitive Exams2026
What is the smallest positive integer that is divisible by both and ?
Q162mediummcqQuantitative 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:
Q163mediummcqQuantitative AptitudeSSC CGL2026
The sum of a non-zero number and ten times its reciprocal is 7. Find the number.
Q164easymcqQuantitative AptitudeStaff Selection Commission2026
Which of the following numbers is divisible by 36 ?
Q165mediummcqQuantitative AptitudeStaff Selection Commission2026
Find the greatest number among (2)
1/3
,(3)
1/2
,1,(5)
1/6
.
Q166mediummcqQuantitative AptitudeCompetitive Exam2026
Which of the following numbers is divisible by 11?
Q167mediummcqQuantitative AptitudeSSC CGL2026
If the 10-digit number 96530y15x8 is divisible by 72, then what is the value of (3x−7y) for the maximum value of x?
Q168mediummcqQuantitative AptitudeCompetitive Exam2026
If the number 321a9246b is divisible by 72, then find the value of a
2
−b
2
.
Q169mediummcqQuantitative AptitudeSSC Competitive Exams2026
If a number is divisible by both 11 and 13, then it must be:
Q170mediummcqQuantitative AptitudeCompetitive Exam2026
Find the dissimilar number from the following:
Q171mediummcqQuantitative AptitudeCompetitive Exam2026
On dividing a number by 54, we get 86 as quotient and $13 as remainder. What is the number?
Q172mediummcqQuantitative AptitudeCompetitive Exam2026
Find the greatest number of four digits which is divisible by 14, 30 and 42.
Q173mediummcqQuantitative AptitudeSSC CGL2026
What should be the missing digit so that the number 275_476 becomes exactly divisible by 11?
Q174mediummcqQuantitative AptitudeCompetitive Exam2026
What is the sum of the digits of the least number which when divided by 12, 16 and 20 leaves the same remainder 6 in each case and it is divisible by 9?
Q175mediummcqQuantitative AptitudeSSC CGL2026
Which of the following is NOT divisible by 4?
Q176mediummcqQuantitative AptitudeSSC Competitive Exams2026
If a 9-digit number 937X728Y6 is divisible by 72, then one of the possible values of X+Y is:
Q177mediummcqQuantitative 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:
Q178easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
Find the smallest number which should be added to to get a number divisible by .
Q179mediummcqQuantitative AptitudeCompetitive Exam2026
Find the largest value of k such that a 6-digit number 450k1k is divisible by 3.
Q180mediummcqMathematicsUP Police Constable2026
Which of the numbers given below is exactly divisible by 12?
Q181mediummcqQuantitative AptitudeUP Police Constable2026
The LCM of , and is:
Q182mediummcqQuantitative AptitudeUP Police Constable2026
Which of the fractions given below is not equal to ?
Q183mediummcqMathematicsUP Police Constable2026
and are both positive integers, and so is . What is the largest possible value of ?
Q184mediummcqQuantitative AptitudeCompetitive Exam2026
If the number 583a4a is divisible by 6, then what is the sum of all the possible values of a?
Q185easymcqQuantitative AptitudeSSC CGL2026
Which of the following numbers is divisible by 11?
Q186mediummcqQuantitative AptitudeSSC CGL2026
If is divided by , then what will be the remainder?
Q187mediummcqQuantitative AptitudeUP Police Constable2026
Find the least number which when divided by and leaves the remainder in all cases.
Q188mediummcqQuantitative AptitudeCompetitive Exam2026
If the 7-digit number x468y05 is divisible by 11, then the maximum value of (x + y) is :
Q189hardmcqQuantitative AptitudeUP Police Constable2026
Find the product of the sum of digits of the smallest -digit number divisible by and the sum of digits of the smallest -digit number divisible by .
Q190mediummcqQuantitative AptitudeCompetitive Exam2026
Which one of the following is the minimum sum of integers whose product is ?
Q191mediummcqQuantitative AptitudeCompetitive Exam2026
On dividing by , what will the remainder be?
Q192mediummcqQuantitative AptitudeCompetitive Exam2026
The HCF and LCM of numbers are and respectively. If one of the numbers is more than the other, find the smaller number.
Q193mediummcqQuantitative AptitudeSSC CGL2026
If the -digit number is exactly divisible by and , then the product of the digits and will be:
Q194mediummcqNumerical AbilityUP Police Assistant Operator Exam2026
The sum of the first 24 natural numbers is:
Q195mediummcqReasoningUP Police Constable2026
Complete the series:
Q196hardmcqQuantitative 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:
Q197mediummcqQuantitative 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.
Q198mediummcqQuantitative AptitudeCompetitive Exam2026
What is the greatest 3-digit number divisible by 4, 5 and 6?
Q199mediummcqNumerical 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?
Q200easymcqQuantitative Aptitude@NUM: 72Competitive Exam2026
Find the number nearest to which is divisible by .
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