# Numerical Ability Syllabus :

## Quantitative Aptitude Syllabus / Numerical Ability Syllabus for All Competitive Exams

Quantitative Aptitude is an integral, and inseparable part of almost all popular competitive exams (SSC CGL / SSC CHSL / SSC MTS / IBPS PO / IBPS CLERK / WBPSC etc.) in India. It tests the Numerical Ability ( number handling techniques and problem-solving skills ) of a candidate applied for. So, it is very important to know the quantitative Aptitude Syllabus in detail before starting your preparation for any competitive exam.

Quantitative Aptitude is an important requisite for clearing any exams. The purpose is to include this in almost all competitive exams (In Govt. Job Exams in Prelims & Entrance Exams ) to evaluate the analytical skills of the aspirant.

The total Quantitative Aptitude Syllabus can be summarised and well describe by dividing the whole Quantitative Aptitude Syllabus into some major sections called Quantitative Aptitude Concept. It shall help the candidates to cover the Quantitative Aptitude Syllabus easily and save them from being diversified and being confused about the Quantitative Aptitude Syllabus and coverage.

The Major Sections of the Quantitative Aptitude Syllabus are :

• Simplification Rules
• Percentage
• Ratio & Proportion
• LCM & HCF
• Average

### Numerical Ability Chapters

 Quantitative Aptitude - Detailed SyllabusNumerical Ability | Arithmetics Number System﻿ Addition and Subtraction Multiplication and Division Square Roots and Cube Roots VBODMAS and Approximation Quadratic Equation Ratio and Proportion Percentage Average Ages Profit & Loss Partnership Simple Interest and Compound Interest (SI & CI) Mixture and Alligation Time and Work Pipes and Cistern Time, Speed and Distance Trains Boats & Stream Mensuration Permutation and Combination Probability

## Numerical Ability Syllabus: Chapter  1

### Number System :

⇒ Types of Numbers

⇒ Divisibility Rules

⇒ Face Value and Place Value of digits

⇒ LCM & HCF

## Sample Questions from Number System Syllabus :

Question : 1 – A number when divided by 899 gives a remainder of 63. The same number is divided by 29, then what will be the remainder?

Question : 2 – Find the largest number which divides 25, 73, and 97 leaving an equal remainder in each case?

Question : 3 – What least number must be subtracted from 1672 to obtain a number which is completely divisible by 17.

## Numerical Ability Syllabus : Chapter  2

⇒ Addition and subtraction of Non-Integers
⇒ Addition and subtraction of fractions

## Numerical Ability Syllabus : Chapter  3

### Multiplication and Division :

⇒  Multiply by two-digit number
⇒  Multiply by more than two-digit number
⇒  Square Roots
⇒  Cube Roots
⇒  Memory Multiplier

## Numerical Ability Syllabus: Chapter  4

### Square Roots and Cube Roots :

⇒  Square Roots
⇒  Cube Roots
⇒  Rules of Indices
⇒  Rules of Indices

## Numerical Ability Syllabus: Chapter  5

### VBODMAS and Approximation :

⇒  Rules of Simplification
⇒ Algebraic Formulae

## Numerical Ability Syllabus: Chapter  6

Quadratic equations are second-degree algebraic expressions. These are of the form ax2 + bx + c = 0.

The word “Quadratic” is derived from the word “Quad” which means square. In other words, a quadratic equation is an “equation of degree 2.”

## Numerical Ability Syllabus : Chapter  7

### Ratio and Proportion :

“Ratio and Proportion”  is not a chapter. It is a concept and an important part of the Quantitative Aptitude Syllabus / Numerical Ability Syllabus.

We call this an Arithmetic Concept because this concept helps to solve questions from some chapters like Partnership, Mixture and Alligation, Time Speed and Distance, Profit & Loss and Many chapters of the Quantitative Aptitude syllabus.

Questions from many Chapters are asked on the basis of Ratio & Proportion.

Ratio and Proportion questions asked in almost all Competitive Exams mainly in Prelims Level  Exam.

Some Popular exams are SBI Clerk Pre, IBPS Clerk Pre, IBPS RRB Pre, IBPS RRB Office Assistant Pre, IBPS RRB Scale 1 Pre, IBPS RRB Office Assistant Mains, IBPS RRB Scale-1 Mains, IBPS PO Pre, IBPS SO Pre, IBPS PO, SBI PO Pre, SBI SO Pre, SBI PO, LIC, NIACL, OICAL, CLAT, MAT, NIFT, CTET etc.

## Numerical Ability Syllabus : Chapter 8

### Percentage (%) :

Similar to the “Ratio and Proportion”, “Percentage” is also not a chapter. It is a concept and an important part of Quantitative Aptitude (Numerical Ability).

We call this also an Arithmetic Concept because this concept helps to solve questions from some chapters like Partnership, Profit & Loss and Many other chapters of Quantitative Aptitude. Questions from many Chapters are asked on the basis of Ratio & Proportion.

A clear concept of Percentage helps to solve questions verbally without touching the pen.

Percentage questions also asked in almost all Competitive Exams i.e. SBI Clerk Pre, IBPS Clerk Pre, IBPS RRB Pre, IBPS RRB Office Assistant Pre, IBPS RRB Scale 1 Pre, IBPS RRB Office Assistant Mains, IBPS RRB Scale-1 Mains, IBPS PO Pre, IBPS SO Pre, IBPS PO, SBI PO Pre, SBI SO Pre, SBI PO, LIC, NIACL, OICAL, CLAT, MAT, NIFT, CTET, etc.

## Numerical Ability Syllabus : Chapter 9

### Average | Arithmetic Mean | Central Tendency :

Average is one of the important but an easiest sections of Quantitative Aptitude asked in many Competitive Exams. Sometimes the Average is asked to be found out in a tricky way.

### Some sample questions from the “Average” Chapter :

Question No – 1 : The average salary of Sudhir, Ashok and Ajay is Rs. 1100. If the average salary of Sudhir and Ajay is Rs. 900, What is Salary of Ashok?

Question No – 2 : The average salary of the entire staff in an office is Rs. 120 per month. The average salary of officers is Rs. 460 and that of non-officers is Rs. 110. If the number of officers is 15, find the number of non-officers in the office.

Question No – 3 : Total weekly emoluments of the workers of a factory is Rs. 1534. Average weekly emolument of a worker is rs. 118. The number of workers in the factory is :

## Numerical Ability Syllabus:  Chapter 10

### Ages :

In this section, questions are based on Ratios. If a candidate has a clear concept of Ratio & Proportion, he/she can easily solve the problems related to Ages and reach to the correct answer.

Some Examples of Ages Chapter :

Example 1 : Abhay’s age after six years will be three seventh of his father’s age. 10 years ago, the ratio of their ages was 1 : 5. What is Abhay’s Age at present.

Example 2 : The present age of a father is 3 years more than three times the age of his son. Three years later, father’s age will be 10 years more than twice the age of the son. Find the present age of the father.

## Numerical Ability Syllabus : Chapter 12

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## Numerical Ability Syllabus : Chapter 22

### FAQs:

#### What is Quantitative Aptitude?

Quantitative Aptitude is an integral, and inseparable part of almost all competitive exams in India. It tests the Numerical Ability ( number handling techniques and problem-solving skills ) of a candidate applied for.

#### How many chapters are covered in quantitative aptitude section in competitive exams?

In detail, total 22 chapters are covered in the Quantitative Aptitude section.

⇒ Quantitative Aptitude : Chapter 1 – Number System
⇒ Quantitative Aptitude : Chapter 2 – Addition and Subtraction
⇒ Quantitative Aptitude : Chapter 3 – Multiplication and Division
⇒ Quantitative Aptitude : Chapter 4 – Square Roots and Cube Roots
⇒ Quantitative Aptitude : Chapter 5 – VBODMAS and Approximation
⇒ Quantitative Aptitude : Chapter 6 – Quadratic Equation
⇒ Quantitative Aptitude : Chapter 7 – Ratio and Proportion
⇒ Quantitative Aptitude : Chapter 8 – Percentage (%)
⇒ Quantitative Aptitude : Chapter 9 – Average
⇒ Quantitative Aptitude : Chapter 10 – Ages
⇒ Quantitative Aptitude : Chapter 11 – Profit and Loss
⇒ Quantitative Aptitude : Chapter 12 – Partnership
⇒ Quantitative Aptitude : Chapter 13 – Simple Interest & Compound Interest
⇒ Quantitative Aptitude : Chapter 14 – Mixture and Alligation
⇒ Quantitative Aptitude : Chapter 15 – Time and Work
⇒ Quantitative Aptitude : Chapter 16 – Pipes and Cistern
⇒ Quantitative Aptitude : Chapter 17 – Time and Distance
⇒ Quantitative Aptitude : Chapter 18 – Trains
⇒ Quantitative Aptitude : Chapter 19 – Boats and Stream
⇒ Quantitative Aptitude : Chapter 20 – Mensuration
⇒ Quantitative Aptitude : Chapter 21 – Permutation and Combination
⇒ Quantitative Aptitude : Chapter 22 – Probability

#### Is Percentage a part Quantitative Aptitude?

The percentage is a part of Quantitative Aptitude. But Percentage is not a chapter, Percentage is a Concept.

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