By PARUL RISHI|Updated : June 1st, 2023

Number System Questions for SSC

The number system is one of the most essential areas of the aptitude section because the topic is easy for aspirants in general but difficult in practice. There are numerous ways for representing numbers, but the most common is the number system, also known as the Dashamic system / Hindu-Arabic numeration system. In this system, we utilise signs (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) to represent a number known as a digit. The same ten digits that we use to represent a number.

Number System questions for SSC are an important component of many exams like SSC CGL, SSC CHSL etc. and in this article, we are going to provide notes on Number System for SSC along with Number System questions for SSC, Number System questions in Hindi, relevant books for Number System preparation and much more!

## Number System Questions for SSC

"Number System: A number system is a system of representing or expressing numbers in a set pattern in a given manner."

Do you want to know what kinds of Number System questions for SSC are asked? We have included the important Number System questions in this blog for practice to assist you with your preparation. We've gone over every form of Number System question for SSC that could be asked in upcoming exams.

Let us begin with the blog and work our way through the "Number System questions for SSC exams".  You can download the Number System questions for SSC PDF for free and attempt the questions at your leisure.

## 20 Number System questions for SSC

Dear aspirants, it is impossible to learn maths by simply reading and hearing. So, practise, practise, and practise some more. Below, we have compiled a list of 20 Number System questions based on the latest SSC syllabus.

1.(12 – 22 + 32 – 42 + 52 – 62 + .... + 92 – 102) is equal to:

A. -55
B. 55
C. -56
D. 56

2.(52 + 62 + 72 + ... + 102) is equal to

A. 330
B. 345
C. 355
D. 360

3.(12 + 22 + 32 + ………… + 102) is equal to

A. 380
B. 385
C. 390
D. 392

4.Given that 12 + 23 + 32 + …….+ n2(n + 1) (2n + 1), then 102 + 112 + 122 + ….. + 202 is equal to

A. 2616
B. 2585
C. 3747
D. 2555

5.The value of 52 + 62 + ……. + 102 + 202 is

A. 755
B. 760
C. 765
D. 770

6.The sum (53 + 63 + …….. 103) is equal to :

A. 2295
B. 2425
C. 2495
D. 2925

7.Find the unit digit of the expression:

(2227235! × 3337235! + 4447235! × 6667235! + 8887235! × 9997235!)

A. 6
B. 8
C. 4
D. 0

8.The difference of the minimum possible and maximum possible remainder, when a is divided by b.
A. a-b
B. b-a
C. b-1
D. a-1

9.The maximum value of ‘n’ that results in integer solution of the equation  is:

A. 1
B. 2
C. 5
D. 3

10.Find two natural numbers whose sum is 171 and whose least common multiple is 266.

A. 133, 38
B. 95, 76
C. 152, 19
D. 114, 57

11.The last two digits in the multiplication of: 25×24×23×22×21×20×19×18×17×16 is:

A. 00
B. 40
C. 30
D. 10

12.Find the value of ?

A.
B.
C.
D.

13.Find the square root of (3 + √5)
A. (√3/2 + 1/√2)
B. (√3/2  1/√2)
C. (√5/2 − 1/√2)
D. √(5/2) + √(1/2)

14.If x = 43 × 19 – 21 ÷ 5 × 31 + 23.7; then which of the following is true?

A. 250 < x < 650
B. 130 < x < 580
C. 370 < x < 720
D. None of these

15.The number √3 is

A. A finite decimal
B. An infinite recurring decimal
C. Equal to 1 .7
D. An infinite non-recurring decimal

16.If √21 = 4.58, then what is the simplified value of  ?

A. 0.655
B. 0.555
C. 0.475
D. 0.444

17.The sum of first 50 natural numbers is divisible by which of the following?

A. 2 and 5
B. 3, 5 and 17
C. 5 and 7
D. 5,8 and 10
E. None of the above/more than one of the above

18.The five prime numbers are arranged in the ascending order. The product of the first four number is 11935 and the product of the last four number is 97867 . If the largest prime number is M and the smallest prime number is N, then (M+N) is divisible by which of the following number?
A. 21
B. 4
C. 12
D. 23

19.Let 20×21×22×23×24×25×26×27×28×29×30=A. If A is divisible by10x, then find the maximum value of x.

A. 3
B. 4
C. 5
D. 6

20.The last 5 digits of the expression will be

(1!)5 + (2!)4 + (3!)3 + (4!)2 + (5!)1 + (10!)5 + (100!)4 + (1000!)3 + (10000!)2 + (100000!)1

A. 00929

B. 45932

C. 20929

D. C .N.D

## Number System Questions in Hindi

We have provided below, Number System questions in Hindi for the aspirants who are planning to opt for the examination in the Hindi language. It is difficult to find questions in Hindi therefore, look at the compilation of the questions for upcoming SSC exams 2023.

1.[13 + 23 + 33 + ………. + 93 + 103] किसके बराबर होगा?

A. 3575
B. 2525
C. 5075
D. 3025

2.(12 – 22 + 32 – 42 + 52 – 62 + .... + 92 – 102) किसके बराबर होगा?

A. -55
B. 55
C. -56
D. 56

3.(52 + 62 + 72 + ... + 102) किसके बराबर होगा?

A. 330
B. 345
C. 355
D. 360

4.(12 + 22 + 32 + ………… + 102) किसके बराबर होगा?

A. 380
B. 385
C. 390
D. 392

5.दिया है 12 + 23 + 32 + …….+ n2(n + 1) (2n + 1)है, तो 102 + 112 + 122 + ….. + 202किसके बराबर होगा?

A. 2616
B. 2585
C. 3747
D. 2555

6.52 + 62 + ……. + 102 + 202 का मान क्या होगा ?

A. 755
B. 760
C. 765
D. 770

7.योग (53 + 63 + …….. 103) किसके बराबर है?

A. 2295
B. 2425
C. 2495
D. 2925

8.एक पृष्ठ में 60 रेखाएं हैं। एक अध्याय में 125 पृष्ठ हैं। एक पुस्तक में 5 अध्याय हैं। इस तरह की 20 पुस्तकें मिलकर पुस्तकों का एक घेरा बनाती हैं। यदि x संख्या के घेरों में कुल 30 लाख रेखाएं हैं तो x का मान क्‍या होगा?

A. 4
B. 2
C. 5
D. 6

9.व्‍यंजक (2227235! × 3337235! + 4447235! × 6667235! + 8887235! × 9997235!) में इकाई का अंक ज्ञात कीजिए।

A. 6
B. 8
C. 4
D. 0

10.जब a को b द्वारा विभाजित किया जाता हैतो न्यूनतम संभव और अधिकतम संभव शेष का अंतर क्या होगा?

A. a-b
B. b-a
C. b-1
D. a-1

11.वह दो प्राकृतिक संख्याएँ ज्ञात करेंजिनका योग 171 और लघुतम समापवर्तक 266 है।

A. 133, 38
B. 95, 76
C. 152, 19
D. 114, 57

12.25×24×23×22×21×20×19×18×17×16 के गुणनफल के अंतिम दो अंक ज्ञात करें।

A. 00
B. 40
C. 30
D. 10

13.(3 + 5) का वर्गमूल ज्ञात करें।

A. (3/2 + 1/2)
B. (3/2  1/2)
C. (5/2 − 1/2)
D. (5/2) + (1/2)

14.यदि x = 43 × 19 – 21 ÷ 5 × 31 + 23.7; फिर निम्नलिखित में से कौन सा सत्य है?

A. 250 < x < 650
B. 130 < x < 580
C. 370 < x < 720
D. इनमे से कोई नहीं

15.संख्या √3 निम्नलिखित में से किसके बराबर है

A. एक परिमित दशमलव
B. एक अनंत आवर्ती दशमलव
C. 1 .732
D. एक अनंत गैर-आवर्ती दशमलव

16.प्रथम 50 प्राकृतिक संख्याओं का योग निम्नलिखित में से किसके द्वारा विभाज्य होगा?

A. 2 और 5
B. 3, 5 और 17
C. 5 और 7
D. 5,8 और 10
E. उपरोक्त में से कोई नहीं / उपरोक्त में से एक से अधिक

17.एक-दूसरे के सह-अभाज्य तीन संख्याएँ इस प्रकार हैं कि पहली दो संख्याओं का गुणनफल 161 है और अंतिम दो संख्याओं का गुणनफल 299 है। तो इन संख्याओं का योग ज्ञात कीजिए?

A. 56
B. 43
C. 61
D. 32
E. उपर्युक्त में से कोई नहीं/ उपर्युक्त में से एक से अधिक

18.पाँच अभाज्य संख्याएँ आरोही क्रम में व्यवस्थित की गई हैं। पहली चार संख्या का गुणनफल 11935 है और अंतिम चार संख्या का गुणनफल 97867 है। यदि सबसे बड़ी अभाज्य संख्या M है और सबसे छोटी अभाज्य संख्या N है, तो (M + N) निम्नलिखित में से किस संख्या से विभाज्य है?

A. 21
B. 4
C. 12
D. 23

19.माना 20×21×22×23×24×25×26×27×28×29×30=A है। यदि A को 10x से विभाजित किया जाता है, तो x का अधिकतम मान ज्ञात करें।

A. 3
B. 4
C. 5
D. 6

20.व्यंजक के अंतिम 5 निम्नलिखित में से कौन से होंगे?

(1!)5 + (2!)4 + (3!)3 + (4!)2 + (5!)1 + (10!)5 + (100!)4 + (1000!)3 + (10000!)2 + (100000!)1

A. 00929

B. 45932

C. 20929

D. C .N.D

## Number System Questions PDF

Now that you are acquainted with the basics concepts and some Number System questions in Hindi & English above. We are providing a downloadable link below to download the set of PDFs to practice more questions on the Number System in both languages.

## Books for Number System

Studying with the proper books will be essential in building concepts when preparing for the SSC exam 2023. However, with so many books on the market, candidates frequently struggle to select the ideal book for Number System. There are numerous publications on the market for preparing Number Systems for SSC exams. Here are some of our favourites:

 Books Authors Number Systems and the Foundation of Analysis Elliot Mendelson The Number Systems Solomon Feferman The Number System HA Thurston Introduction to Number Theory Dr. Bilal Ahmad Chat, Dr. Ather Aziz Raina, Dr. Ajaz Ahmad Wani An Introduction To The Theory Of Numbers 5th Edition Ivan Niven, Herbert S Zuckerman, and Hugh L Montgomery

## Tricks to Solve Number System Questions for SSC

The number system is a predetermined numerical representation system. As a result, the most important essential for answering number system problems is to study the following:

• Because π is a rational number, it may be solved in equations in the same way.
• 51 is not a prime number, contrary to popular belief. It can be divided by 17.
• If you have to use a formula to find an even number, the sum of two odd integers is an even number.

5 most important questions with short tricks on Number System for SSC exams are:

Question 1:

(A) 5995

(B) 5997

(C)  5996

(D)  5998

Solution with Short Trick:

Question 2:

(A)

(B)

(C)

(D)

Solution with Short Trick:

= [3 + 3 3 + 3 3 3 + 3 3 3 3 + 3 3 3 3 3] +

Question 3:

(A)

(B)

(C)

(D)

Solution with Short Trick:

Using Formula

Denominator Value

Question 4:

(A) x

(B)

(C)  x – 1

(D)

Solution with Short Trick:

Question 5:

(A)

(B)

(C) 1/3

(D) 1/2

Solution with Short Trick:

All the best aspirants hope this post is useful to you, for live classes on the Number System join our SSC Online Classroom Program and stay up to date on both concepts and questions!

Happy Learning

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## FAQs

• Number System: A number system is a system of representing or expressing numbers in a set pattern in a given manner.

The number system is one of the most important aspects of the aptitude portion because it is simple in theory but challenging in practice for applicants.

• Some of the best books to prepare for Number System questions for SSC are as follows:

• The Number Systems - Solomon Feferman
• The Number System - HA Thurston
• Introduction to Number Theory - Dr. Bilal Ahmad Chat, Dr. Ather Aziz Raina, Dr. Ajaz Ahmad Wani
• You can find the SSC Number System questions PDF in this article. Candidates can get both Hindi and English PDFs of Number System questions for practice. These PDFs can be saved on your device and can be referred to any time you leisure!

• Yes, it is easy to solve number system questions for SSC. The difficulty level of the examination is easy-moderate for this component, and candidates can easily attempt these questions if they have practised a great number of questions and have a clear understanding of the basics.

• To solve Number System questions for SSC easily we have provided tips and tricks in this article. Along with the tricks we have provided questions on which these tricks can be used to solve the question in the minimum time possible.

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