DILR Preparation Tips for MBA Number Systems: Definition, Rules, Sample Questions, Tips and FAQs

DILR Preparation Tips for MBA 2024

11K Views
Vipra Shrivastava

Vipra ShrivastavaSenior Manager - Content

Updated on Feb 2, 2024 16:41 IST

What is Number Systems?

The Number System is the method by which we formulate numbers. There are several forms of number systems including binary, decimal, etc. It is a system wherein numbers are expressed. It is the mathematical notation for describing numbers with a consistent sequence of digits or symbols. It proceeds to represent any number and the arrangement of the figures.

Number System Concepts

Under Number Systems, we need to learn about:

  • Natural Numbers

  • Whole Numbers

  • Integers

  • Rational Numbers

  • Irrational Numbers

  • Real Numbers

Questions on Number Systems with Solutions 

1. What are the five numbers between one and two? 

There are 5 rational numbers between one and two. 

Solution: We need to find 5 rational numbers between 1 and 2

Divide and multiple both the numbers by (5+1)

Hence,

6/6 and 12/6 are rational numbers now.

Therefore, 6/6, 7/6, 8/6, 9/6, 10/6, 11/6, 12/6.

Irrational numbers cannot be represented as either a fraction or a decimal. 

2. Is there a number √3 on the number line? 

Solution:

To locate √3 on the number line, we need to:

Build BD that passes via point OB perpendicular to it. 

Using Pythagora's theorem, we notice that OD = √((√2)^2+1^2) = √3. 

Draw an arc with centre O and radius OD to cut the number line at Q. 

Also Read:

VARC Preparation Tips for MBA Exams Quantitative Aptitude Preparation Tips for MBA Exams

Terminating and Non-Terminating Decimal Expansion

A rational number either has a finite expansion into rational numbers, or it continues forever. 

The decimal expansion of an irrational number is not terminating or recurring. 

1. Demonstrate that 0.3333 … = 0.3, may be represented in rational form; i.e, p/q. 

Let x = 0.33333. 

10 x = 10 × (0.333….) = 3.333.... 

3.3333... = 3 + x. 

10x = 3 + x. 

9/x = 3. 

x = ⅓.

2. Write the following in decimal form and name expansions.   

  1. 36/100.  

  2. 1/11. 

Solution

  1. 36/100 = 0.36. 

It is terminating. 

  1. 1/11 = 0.09090909…

The solution is non-terminating and repeating.

Illustrated Examples:

1. Multiply 5√3 by 4√3.

Solution: 5√3 x 4√3

5 x 4 x √3 x √3

= 20 x 3

= 60

2. Rationalise the denominator of √3/(√2-√7).

Solution: Multiply both numerator and denominator by √2+√7

[√3/(√2-√7)] x [(√2+√7)/(√2+√7)]

Numerator = √3(√2+√7)

Denominator = (√2-√7)(√2+√7) = (√2)^2-(√7)^2 = 2-7 = -5

Therefore,

[√3(√2+√7)]/-5

= -√3/5(√2+√7)

3. Rationalise the denominator of 1/√5.

Solution: To rationalise the denominator of 1/√5, we need to multiply the numerator and denominator by √5

1/√5 x (√5/√5)

= √5/5

Also Read: MBA Preparation 2024: Tips to Prepare for MBA Entrance Exams

Download Free DILR Question Bank for Practice

CAT_DI_Diffcult_Questions

CAT_DI_Diffcult_Solutions

CAT_DI_Medium_Questions

CAT_DI_Medium_Solutions

CAT_DI_Easy_Questions

CAT_DI_Easy_Solutions

CAT_LR_Difficult_Questions

CAT_LR_Difficult_Solutions

CAT_LR_Medium_Questions

CAT_LR_Medium_Solutions

CAT_LR_Difficult_Questions

CAT_LR_Easy_Solutions

FAQs Regarding Number Systems

Q: What is the significance of number systems?

A: In mathematics, a number system is characterised as a framework that allows all numbers to be represented. The number method offers a distinct means of communicating numbers and the logical basis for a math equation. 

Q: Describe the various groups of numbers.

A: The various kinds of numbers are: 
  • Natural numbers
  • Whole numbers
  • Real numbers
  • Rational numbers
  • Irrational numbers
  • Complex numbers

Q: Why are the numbers used?

A: The numbers define the spectrum of everything. Numbers are used to measuring anything from income to time. Without statistics, we cannot realise how useful items are. 

Q: What are the four different types of number systems?

A: The four major types of number system are:
  • Binary number system (base 2 number system)
  • Octal number system (base 8 number system)
  • Decimal number system (base 10 number system)
  • Hexadecimal number system (base 16 number system)

Q: What are the uses of number systems?

A: The most popular usage of the number system is in computers. The binary number system is used. Binary numbers are used in the encoding process of digital.
Download Important Dates for MBA/PGDM Exams

Explore top Number Systems exams

21 Dec '23

CAT 2023 result announcement

5 Dec '23 -

8 Dec '23

CAT 2023 answer key challenge

9 Mar '24 -

10 Mar '24

MAH MBA CET 2024 exam

Mar '24

MAH MBA CET admit card 2024 do...

23 Dec '23 -

29 Feb '24

MAT 2024 Registration IBT 2

23 Dec '23 -

5 Mar '24

MAT 2024 Registration IBT 3

4 Mar '24 -

26 Mar '24

CUET PG 2024 Advance City Inti...

7 Mar '24 -

10 Mar '24

CUET PG 2024 Admit Card

17 Feb '24

Reporting at allotted college ...

14 Feb '24 -

16 Feb '24

Payment of fees and download o...

Feb '24

XAT 2023 Cut Offs Release

20 Jan '24

XAT 2024 result

Feb '24

CMAT 2024 registration and app...

Mar '24

CMAT 2024 form correction

21 Feb '24 -

9 Mar '24

TANCET Admit Card Download

9 Mar '24

TANCET Exam Date for MBA & MCA

10 Jan '24

SNAP 2023 result announcement

22 Dec '23

SNAP 2023 session 3

Feb '24

SRCC GBO 2024: Answer Key Rele...

Apr '24

SRCC GBO 2024 results

Mar '24

OJEE 2024 Last Date of Registr...

16 Mar '24 -

17 Mar '24

OJEE 2024 Application Form Cor...

11 Jan '24 -

15 Jan '24

NMAT Exam (Additional Phase)

5 Jan '24 -

10 Jan '24

NMAT Scheduling (Additional P...

20 Feb '24 -

30 Mar '24

JMI Entrance Exam 2024 Applica...

4 Apr '24 -

10 Apr '24

JMI Entrance Exam 2024 Applica...

3 Mar '24

KMAT Kerala 2024 (Session 1)

Jun '24

KMAT Kerala 2024 Online Regist...

12 Feb '24

Declaration of X-GMT Result

9 Feb '24

X-GMT Rescheduled Exam Date 20...

7 Mar '24 -

30 Apr '24

TSICET Registration (Without L...

1 May '24 -

17 May '24

TSICET Registration (With Late...

11 May '24

ATMA 2024 May Session

23 Jun '24

ATMA 2024 June Session

Apr '24

IMU CET 2024 Registration wind...

Jun '24

IMU CET 2024 Admit card releas...

Mar '24

APICET 2024 Registration Proce...

6 May '24

AP ICET 2024 Exam

The list of exams are recommended based on what other exams do the students in your area show interest in
qna

DILR Preparation Tips for MBA Exam

Student Forum

chatAnything you would want to ask experts?
Write here...

Upcoming MBA Exam Dates

25 Feb '24: MAT 2024 PBT
26 Feb '24: ACAT 2024: Last date of Application Form filling
Feb '24: SRCC GBO 2024: Answer Key Release
29 Feb '24: CT SET 2024 Application Form
Mar '24: OJEE 2024 Last Date of Registration