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Number System Questions

Q: Which exams ask Number System questions?

Number System questions appear in Quantitative Aptitude, Mathematics, Mathematics and Science, Numerical Ability, General Intelligence and Reasoning and other competitive exams.

Practice 272 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(232)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 five-digit number 725yz is divisible by 15. What is the maximum possible value of the product of y and z?

Q102mediummcqQuantitative 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

Q103mediummcqQuantitative AptitudePractice Test2026

The HCF of two numbers is 2 and their LCM is 42728 . If one number is 218, what is the other number?

Q104easymcqQuantitative AptitudeStaff Selection Commission2026

The number 1254216 is divisible by which of the following numbers?

Q105easymcqQuantitative AptitudeCompetitive Exam Practice2026

Which of the following numbers is divisible by 9?

Q106mediummcqQuantitative AptitudePractice Paper2026

The LCM of two numbers is 495 and their HCF is 5 . If the sum of the numbers is 100, then find their difference.

Q107mediummcqQuantitative AptitudeCompetitive Exam2026

The largest 5-digit number exactly divisible by 95 is ________.

Q108mediummcqQuantitative AptitudeCompetitive Exam2026

The smallest perfect square number divisible by each of 6 and 12 is:

Q109mediummcqQuantitative 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.

Q110mediummcqQuantitative AptitudeSSC CGL2026

HCF and LCM of two numbers are 11 and 825 respectively. If one number is 275, find the other number.

Q111mediummcqQuantitative AptitudeSSC CGL2026

The sum of a non-zero number and ten times its reciprocal is 7. Find the number.

Q112hardmcqQuantitative AptitudeSSC CGL2026

Let x be the least multiple of 29 which when divided by 20, 21, 22, 24 and 28 leaves the remainders 13, 14, 15, 17 and 21 respectively. What is the sum of digits of x ?

Q113mediummcqQuantitative AptitudeStaff Selection Commission2026

Find the unit place digit in (192) 102 +(193) 103 .

Q114mediummcqQuantitative AptitudeCompetitive Exam2026

The greatest number which divides 990 and 1330, leaving remainder 6 and 10 respectively is:

Q115mediummcqQuantitative AptitudeCompetitive Exam2026

The number 10000 is exactly divisible by which of the following numbers?

Q116mediummcqQuantitative AptitudeSSC CGL2026

A number is greater than five times its reciprocal by \frac{19}{2} . Find the number.

Q117mediummcqQuantitative AptitudeCompetitive Exam2026

Which of the following numbers is divisible by 11?

Q118mediummcqQuantitative 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.

Q119mediummcqQuantitative AptitudeCompetitive Exam2026

Find the average of all prime numbers between 42 and 75.

Q120mediummcqQuantitative 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.

Q121mediummcqQuantitative AptitudePractice Test2026

Find the remainder when 11 7 +9 is divided by 10.

Q122mediummcqQuantitative AptitudeCompetitive Exam2026

A number is three times another number and their HCF is 8. What is the sum of the squares of the numbers?

Q123mediummcqQuantitative AptitudeSSC CGL2026

A number 35786X625 is completely divisible by 9. Find the smallest whole digit number in the place of 'X'.

Q124mediummcqQuantitative AptitudeCompetitive Exam2026

A 5 -digit number 247 X 8 is divisible by 44 . Which digit can replace X ?

Q125easymcqGeneral Intelligence and ReasoningCompetitive Exam2026

Which of the following numbers is different from the rest? 13, 17, 23, 27, 29

Q126mediummcqQuantitative AptitudeStaff Selection Commission2026

\frac{7}{15} of \frac{5}{3} of a number is greater than \frac{7}{9} of \frac{3}{5} of the same number by 9 . Find the quadruple of the number.

Q127mediummcqQuantitative 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?

Q128mediummcqQuantitative AptitudeSSC CGL2026

On dividing a number by 47, we get 75 as quotient and 18 as remainder. What is the number?

Q129easymcqMathematicsUPTET 2021 Memory Based Paper 12026

The natural number nearest to 3070 which is completely divisible by 17 is:

Q130mediummcqQuantitative AptitudeCompetitive Exam2026

Which of the following best describes a prime number?

Q131mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026

If 1 3^{50} is divided by 14, the remainder is

Q132mediummcqQuantitative AptitudeCompetitive Exam2026

Find the HCF of 285, 510, 1440 .

Q133mediummcqQuantitative AptitudeCompetitive Exam2026

Find the HCF of \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5} .

Q134mediummcqQuantitative AptitudeCompetitive Exam2026

Find the greatest 5-digit number divisible by 12.

Q135mediummcqQuantitative AptitudeCompetitive Exam2026

If the 7-digit number x468y05 is divisible by 11, then the maximum value of (x + y) is :

Q136mediummcqQuantitative AptitudeCompetitive Exam2026

How many numbers less than 1,000 are multiples of both 7 and 11?

Q137mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026

Find the value of 3k 3 +4 ​ such that the 6-digit number 310k0k is divisible by 6.

Q138mediummcqQuantitative AptitudePractice Test2026

The greatest number that divides 415, 595 and 775 leaving the same remainder is:

Q139easymcqQuantitative AptitudeCompetitive Exam2026

Which of the following numbers is divisible by 4. (i) 67920598 (ii) 618703592 (iii) 618703594 (iv) 67920590

Q140mediummcqQuantitative AptitudeCompetitive Exam2026

Which of the following is a pair of coprime numbers?

Q141easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026

Find the value of k in the number 9314k8025 so that the number is divisible by 11.

Q142mediummcqQuantitative AptitudeStaff Selection Commission2026

If a nine-digit number 385x3678y is divisible by 72, then the value of (y-x) is:

Q143mediummcqQuantitative AptitudePractice Test2026

Find the Least Common Multiple (LCM) of 250, 500, 1000 and 1050 .

Q144mediummcqQuantitative AptitudeCompetitive Exam2026

If a nine-digit number 785x3678y is divisible by 72, then the value of (7x-5y) is:

Q145mediummcqQuantitative 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:

Q146mediummcqQuantitative 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:

Q147mediummcqQuantitative AptitudeCompetitive Exams2026

If two-fifth of three-eighth of one-sixth of a certain number is 52, what is 40% of the number?

Q148mediummcqQuantitative AptitudeUP Police Constable2026

What is the least number which when divided by 12, 20 and 24 leaves in each case a remainder of 8 ?

Q149mediummcqQuantitative AptitudeSSC GD Constable2026

Find the nearest integer to 5347 which is exactly divisible by 137.

Q150mediummcqQuantitative AptitudePractice Test2026

Arrange the following real numbers in ascending order: \frac{2}{2}, 1.41, 1.4142, 1.414

Q151easymcqQuantitative AptitudeUP Police Constable2026

Find the difference between the largest 5 -digit number and the smallest 4 -digit number.

Q152mediummcqQuantitative AptitudeCompetitive Exam2026

Which one of the following is the minimum sum of 2 integers whose product is 64 ?

Q153mediummcqQuantitative AptitudeSSC GD Constable2026

What is the least value of k, so that 23k57 is divisible by 3?

Q154mediummcqQuantitative AptitudeCompetitive Exam2026

If the 7-digit number 2y6810x is divisible by 88, then what is the value of the product of x and y?

Q155mediummcqQuantitative AptitudeCompetitive Exam2026

On dividing 4999 by 7, what will the remainder be?

Q156mediummcqQuantitative AptitudeCompetitive Exam2026

Find the sum of all the possible values of k in the number 341k145k so that the number is divisible by 3.

Q157mediummcqQuantitative AptitudeSSC GD Constable2026

Find the average of the prime numbers lying between 68 and 96.

Q158mediummcqQuantitative AptitudeCompetitive Exam2026

In a division problem, the divisor is 12 times the quotient and 9 t im es t h ere main d er . I f t h ere main d er i s 96$, find the dividend.

Q159mediummcqQuantitative AptitudePractice Test2026

If the average of 6 consecutive even numbers is 183, find the smallest number.

Q160mediummcqNumerical AbilityUP Police Constable2026

What is the largest four-digit number that is divisible by each of 15, 25 and 35?

Q161mediummcqQuantitative AptitudePractice Test2026

The Highest Common Factor of three consecutive even numbers is:

Q162mediummcqQuantitative AptitudeCompetitive Exam Practice2026

If a 9-digit number 389x6378y is divisible by 72, then the value of 6x+7y is:

Q163mediummcqQuantitative AptitudeStaff Selection Commission2026

What is the value of (91+92+93+\dots+140)?

Q164easymcqQuantitative AptitudeStaff Selection Commission2026

Which of the following numbers is divisible by 36 ?

Q165mediummcqQuantitative AptitudeCompetitive Exams2026

What is the smallest positive integer that is divisible by both 12 and 16 ?

Q166mediummcqQuantitative AptitudeCompetitive Exam2026

Find the least square number which is divisible by 4,8,2,6 and 12?

Q167mediummcqQuantitative AptitudePractice Mock2026

Which least number should be subtracted from 5825 to make it a perfect square?

Q168mediummcqQuantitative AptitudePractice Test2026

Evaluate the expressions: 5^{0}, 0!, 1^{5}, (- 1)^{2 n} (where n 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.

Q169mediummcqQuantitative AptitudeStaff Selection Commission2026

Find the greatest number among (2) 1/3,(3) 1/2,1,(5) 1/6 .

Q170mediummcqQuantitative Aptitude@NUM: 70SSC CGL2026

Let x be the least number which when divided by 10, 12, 14 and 16 leaves the remainders 2, 4, 6 and 8, respectively, but x is divisible by 17 . When x is divided by 52, the quotient is:

Q171mediummcqQuantitative AptitudeSSC CGL2026

What smallest number should be added to 2401 so that the sum is completely divisible by 14 ?

Q172mediummcqQuantitative AptitudePractice Test2026

What is the unit digit in the expansion of (478749)^{(1 \times 5 \times 2 \times 4)} ?

Q173mediummcqQuantitative AptitudeCompetitive Exam2026

On dividing a number by 54, we get 86 as quotient and $13 as remainder. What is the number?

Q174mediummcqQuantitative AptitudeCompetitive Exam2026

If the number 321a9246b is divisible by 72, then find the value of a 2 -b 2 .

Q175mediummcqQuantitative AptitudeSSC Competitive Exams2026

If a number is divisible by both 11 and 13, then it must be:

Q176mediummcqQuantitative AptitudePractice Test2026

A number is selected at random from 100 to 199 . What is the probability that the number is divisible by 2 and has exactly two even digits?

Q177mediummcqQuantitative AptitudeSSC CGL2026

What should be the missing digit so that the number 275_476 becomes exactly divisible by 11?

Q178mediummcqQuantitative AptitudeCompetitive Exam2026

Find the greatest number of four digits which is divisible by 14, 30 and 42.

Q179mediummcqQuantitative AptitudeSSC CGL2026

Arrange the following numbers in ascending order: 64,3 33,4 34,4 6,3 3,3 4 Based on the choices provided below, choose the correct relative order of the key terms:

Q180mediummcqGeneral Intelligence and ReasoningPractice Test2026

A number is chosen at random from 1 to 200 . What is the probability that it is a perfect square or a multiple of 6 ?

Q181mediummcqQuantitative AptitudeSSC Competitive Exams2026

If a 9-digit number 937X728Y6 is divisible by 72, then one of the possible values of X+Y is:

Q182mediummcqQuantitative 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?

Q183easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026

Find the smallest number which should be added to 1234 to get a number divisible by 45 .

Q184mediummcqQuantitative AptitudeCompetitive Exam2026

Find the largest value of k such that a 6-digit number 450k1k is divisible by 3.

Q185mediummcqQuantitative 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?

Q186mediummcqQuantitative AptitudeCompetitive Exam2026

Find the dissimilar number from the following: 1331, 2197, 4913, 5832, 6859

Q187mediummcqQuantitative AptitudeSSC CGL2026

Which of the following is NOT divisible by 4?

Q188mediummcqQuantitative 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:

Q189mediummcqQuantitative AptitudeUP Police Constable2026

Find the least number which when divided by 4, 6, 8, 10 and 12 leaves the remainder 3 in all cases.

Q190mediummcqQuantitative AptitudePractice Test2026

Which of the following numbers is not a perfect square?

Q191hardmcqQuantitative AptitudeUP Police Constable2026

Find the product of the sum of digits of the smallest 4 -digit number divisible by 6 and the sum of digits of the smallest 5 -digit number divisible by 11 .

Q192mediummcqMathematicsUP Police Constable2026

Which of the numbers given below is exactly divisible by 12?

Q193mediummcqQuantitative AptitudeCompetitive Exam2026

If the number 583a4a is divisible by 6, then what is the sum of all the possible values of a?

Q194easymcqQuantitative AptitudeSSC CGL2026

Which of the following numbers is divisible by 11?

Q195mediummcqQuantitative AptitudeUP Police Constable2026

The LCM of 47, 141 and 188 is:

Q196mediummcqQuantitative AptitudeUP Police Constable2026

Which of the fractions given below is not equal to ?

Q197mediummcqMathematicsUP Police Constable2026

\frac{840}{x} and \frac{960}{x} are both positive integers, and so is x . What is the largest possible value of x ?

Q198hardmcqQuantitative 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:

Q199mediummcqQuantitative 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.

Q200mediummcqQuantitative AptitudeCompetitive Exam2026

What is the greatest 3-digit number divisible by 4, 5 and 6?

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