Number System ( संख्या पद्धति )
The Number System is a foundational topic in mathematics, covering concepts such as natural numbers, whole numbers, integers, rational and irrational numbers, and real numbers. This chapter explains different types of numbers, their properties, and their applications in problem-solving. Understanding the Number System is essential for competitive exams like SSC, as it forms the basis for advanced mathematical concepts and calculations.
Number system questions with solutions : Question no.1 to 6
Q.1 When a number is divided by 121, the remainder is 25. If the same number is divided by 11, the remainder will be ?
जब किसी संख्या को 121 से विभाजित किया जाता है, तो शेषफल 25 प्राप्त होता है । यदि उसी संख्या को 11 से विभाजित किया जाए, तो शेषफल होगा ?
[A] 0 [B] 3
[C] 11 [D] 25
Q.2 If the sum of three consecutive odd numbers is 57, then which will be the lowest number among the three? ?
यदि तीन क्रमागत विषम संख्याओं का योग 57 है तो तीनों में न्यूनतम संख्या कौन सी होगी ?
[A] 17 [B] 15
[C] 21 [D] 19
Q.3 The sum of two numbers is 76 and one of them is 10 more than the other. Find the larger number ?
दो संख्याओं का योग 76 है और उनमें से एक संख्या दूसरी संख्या से 10 अधिक है । बडी संख्या ज्ञात करें ?
[A] 40 [B] 38
[C] 33 [D] 43
Q.4 The difference between the local value and the ethnic value of 7 in 2357901 is ?
2357901 में 7 के स्थानीय मान व जातीय मान का अन्तर है ?
[A] 69993 [B] 0
[C] 6993 [D] 699993
Q.5 The product of three consecutive numbers will always be divided by which number ?
तीन क्रमिक संख्याओं का गुणनफल सदैव किस संख्या से विभाजित होगा ?
[A] 6 [B] 3
[C] 4 [D] 8
Q.6 Find the largest number which when divides the numbers 59, 97 and 213 leaves the same remainder in each case ?
वह सबसे बडी संख्या ज्ञात कीजिए जिससे संख्याओं 59, 97 और 213 को भाग देने पर प्रत्येक स्थिति में समान शेषफल बचता है ?
[A] 3 [B] 2
[C] 5 [D] 1
Number system questions with solutions : Question no.7 to 10
Q.7 What will be the unit digit in 86 × 313 × 64 × 416 ?
86 × 313 × 64 × 416 में इकाई का अंक क्या होगा ?
[A] 8 [B] 4
[C] 6 [D] 2
Q.8 The sum of two numbers is 47 and one of them is 11 more than the other. Find the lowest number ?
दो संख्याओं का योग 47 है और उनमें से एक संख्या दूसरी संख्या से 11 अधिक है । छोटी संख्या ज्ञात करें ?
[A] 40 [B] 18
[C] 33 [D] 29
Q.9 If a three-digit number 23n is divisible by 9, then find the value of n ?
यदि तीन अंकों की एक संख्या 23n , 9 से विभाज्य है , तो n का मान बताइए ?
[A] 0 [B] 3
[C] 4 [D] 1
Q.10 What is the number of prime numbers lying between 410 and 450 ?
410 और 450 के बीच आने वाली अभाज्य संख्याओं की संख्या क्या है ?
[A] 4 [B] 5
[C] 2 [D] 3
Answer :
1. [B] |
2. [A] |
3. [D] |
4. [A] |
5. [A] |
6. [B] |
7. [D] |
8. [B] |
9. [C] |
10.[A] |