Number System in Maths
Team Careers360, 26 Sep 2019

Number System in Maths - One of the basic topics in SSC, IBPS PO, Railway recruitment and other competitive exams is number system. Since it is scoring, many students look for number system questions and answers to practice for these exams. The topic deals with numbers, their representation, and problems therein. Understanding the number of system concepts is the first step. The next is practising number system questions to get a grip. This is where students need a lot of questions on number systems with solutions to get better and quick at solving the questions. This article lists out many practice questions on number systems with solutions for candidates to solve and aim at cracking the exam.

Apart from SSC, the number system is one of the topics in academic entrance exams like CAT, SNAP, etc. Since questions from number system in maths are more in most exams, candidates can use the sample questions given below for their practice. The solutions are also given to each question so candidates can check them out.

Number system questions appear from the following subtopics

  1. Cyclicity

  2. Remainder theorem

  3. Binary Number System

  4. Decimal Number System

  5. Factorials

  6. Factors

  7. Powers & Indices

  8. Divisibility Rules, etc.

How to prepare Number System?

  • Go through the basic categorization of numbers.

  • Learn the concepts of each subtopic mentioned above.

  • Practice the questions based on each subtopic mentioned above.

  • Practice all the previous year questions related to number system in previously held examinations.

Number System Questions

Q 1. The digit in the units place of [(251)^98 + (21)^29 - (106)^100 + (705)^35 - (16)^4 + 259 ] is :

  1. 1

  2. 4

  3. 5

  4. 6

View Solution


Q 2. A number is doubled and 9 is added. If the resultant is tripled, it becomes 75. What is that number?

  1. 3.5

  2. 6

  3. 8

  4. 9

  5. None of these

View Solution


Q 3. Three-fourth of a number is 60 more than its one-third. The number is:

  1. 110

  2. 108

  3. 144

  4. None of these

  5. 84

View Solution


Q 4. The sum of the numerator and denominator of a fraction is 11. If 1 is added to the numerator and 2 is subtracted from the denominator, it becomes \frac{2}{3}. The fraction is:

  1. \frac{5}{6}

  2. \frac{6}{5}

  3. \frac{3}{8}

  4. \frac{4}{3}

  5. \frac{8}{3}

View Solution


Q 5. Find the least value of * for which 5967*13 becomes divisible by 3.

  1. 1

  2. 2

  3. 3

  4. 7

  5. 4

View Solution


Q 6. Find the least value of * for which 7*5462 is divisible by 9.

  1. 3

  2. 6

  3. 5

  4. None\: of\: these

  5. 9

View Solution


Q 7. Is 52563744 divisible by 24?

  1. yes

  2. No

  3. Never

  4. None \: of \: these

  5. Can't \: be\: determined

View Solution


Q 8. On dividing a certain number by 342, we get 47 as reminder. If the same number is divided by 18, what will be the remainder?

  1. 7

  2. 9

  3. 11

  4. 15

  5. 13

View Solution


Q 9. A number when successively divided by 3, 5 and 8 leaves remainders 1, 4 and 7 respectively. Find the respective remainders if the order of divisors be reversed.

  1. 5, 4, 2

  2. 6, 2, 4

  3. 3, 1,4

  4. None of these

  5. 1, 1, 3

View Solution


Q 10. The value of \frac{243^{0.13}\times 343^{-0.2}}{243^{-0.07}\times 7^{0.25}\times 49^{0.075}} is

  1. \frac{3}{7}

  2. \frac{7}{3}

  3. \frac{5}{3}

  4. 2\frac{2}{7}

  5. \frac{10}{7}

View Solution


Q 11. The number of 2 digit prime number is

  1. 18

  2. 17

  3. 21

  4. None \: of \: these

  5. 25

View Solution


Q 12. A certain number, when divided by 899, leaves a remainder 63. Find the remainder when the same number is divided by 29.

  1. 5

  2. 4

  3. 1

  4. 3

  5. Can't\: be \: determined

View Solution


Q 13. If n^{2} = 12345678987654321, what is n?

  1. 12344321

  2. 1235789

  3. 111111111

  4. 1235789

  5. 11111111

View Solution


Q 14. Find the unit’s digit of the remainder of 59n – 31n divided by 28.

  1. 21

  2. 32

  3. 7

  4. 0

  5. 14

View Solution


Q 15. Find the sum of all the numbers which are co-prime to 60 and which are less than 60.

  1. 270

  2. 300

  3. 460

  4. 480

  5. 360

View Solution


Q 16. Find the remainder obtained when 10! + 111 is divisible by 143.

  1. 0

  2. 6

  3. 7

  4. 5

  5. 111

View Solution


Q 17. Which of the following is a prime number?

  1. 391

  2. 899

  3. 792

  4. 199

  5. 621

View Solution


Q 18. The difference between a number and the sum of its digits is always a multiple of

  1. 6

  2. 9

  3. 11


  4. 15

View Solution


Q 19. 111111^{2}= ------

  1. 123456654321

  2. 1234554321

  3. 123456645321

  4. 12345654321

  5. 123454321

View Solution


Q 20. Is the number \left ( 3^{7} \right )\left ( 5^{11} \right )\left ( 15^{5} \right ) a perfect square?

  1. yes

  2. No

  3. can't\: be \: determined

  4. None \: of\: these

  5. -

View Solution


Q 21. A number when divided by 36 leaves a remainder of 23. Which of the following could be a remainder when it is divided by 72?

  1. 45

  2. 59

  3. 37

  4. None\: of\: these

  5. 13

View Solution


Q 22. What is the area of the smallest square that can be formed with rectangles of dimensions 3 x 2?

  1. 6

  2. 42

  3. 36

  4. 72

  5. 12

View Solution


Q 23. What is the least number that must be subtracted from 512 to make it a perfect cube?

  1. 42

  2. 17

  3. 0

  4. 64

  5. 28

View Solution


Q 24. What is the least natural number that must divide 29 x 38 x 57 so that the quotient is a perfect cube?

  1. 65

  2. 5

  3. 15

  4. 45

  5. 360

View Solution


Q 25. The product of 10 consecutive even numbers is always divisible by

  1. 2^{10}

  2. 3(2)^{9}

  3. 2^{10}\times10!

  4. 4^{10}

  5. None\: of\: these

View Solution

Preparation
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