Quantitative Aptitude in SSC CHSL

Quantitative Aptitude in SSC CHSL

Number Systems

• Natural numbers: 1, 2, 3, ...
• Whole numbers: 0, 1, 2, 3, ...
• Integers: ..., -3, -2, -1, 0, 1, 2, 3, ...
• Rational numbers: fractions, e.g., 3/4, 22/7
• Irrational numbers: non-repeating decimals, e.g., π, e

Fractions and Decimals

• Basics of fractions: addition, subtraction, multiplication, and division
• Conversion between fractions and decimals
• Simplification of fractions

Algebra

• Linear equations: ax + by = c
• Quadratic equations: ax^2 + bx + c = 0
• Graphs of linear and quadratic equations
• Solving linear equations in two variables

Ratio and Proportion

• Basics of ratio and proportion
• Equivalent ratios
• Componendo and dividendo
• Applications of ratio and proportion

Percentage

• Basics of percentage
• Increase and decrease percentage
• Percentage change
• Applications of percentage

Profit and Loss

• Basics of profit and loss
• Calculating profit and loss
• Discount and marked price
• Applications of profit and loss

Simple Interest and Compound Interest

• Basics of simple interest
• Basics of compound interest
• Calculating simple interest and compound interest
• Applications of simple and compound interest

Speed, Distance, and Time

• Basics of speed, distance, and time
• Calculating speed, distance, and time
• Relative speed
• Applications of speed, distance, and time

Data Interpretation

• Basics of data interpretation
• Tabular data
• Bar graphs and histograms
• Pie charts
• Applications of data interpretation

Number Systems

• Natural numbers are positive integers starting from 1, such as 1, 2, 3, and so on.
• Whole numbers include 0 and all positive integers, such as 0, 1, 2, 3, and so on.
• Integers include all whole numbers and their negative counterparts, such as ..., -3, -2, -1, 0, 1, 2, 3, and so on.
• Rational numbers are fractions that can be expressed as a ratio of two integers, such as 3/4, 22/7, and so on.
• Irrational numbers are non-repeating decimals that cannot be expressed as a ratio of two integers, such as π, e, and so on.

Fractions and Decimals

• Fractions can be added, subtracted, multiplied, and divided using various rules.
• Fractions can be converted to decimals and vice versa.
• Fractions can be simplified by dividing both numerator and denominator by their greatest common divisor.

Algebra

• Linear equations are equations of the form ax + by = c, where a, b, and c are constants.
• Quadratic equations are equations of the form ax^2 + bx + c = 0, where a, b, and c are constants.
• Graphs of linear and quadratic equations can be used to visualize and solve equations.
• Linear equations in two variables can be solved using substitution, elimination, or graphical methods.

Ratio and Proportion

• A ratio is a comparison of two quantities, often expressed as a fraction or a decimal.
• Equivalent ratios are ratios that have the same value, such as 1:2 and 2:4.
• Componendo and dividendo are techniques used to solve problems involving ratios.
• Ratios and proportions have various applications in real-life scenarios.

Percentage

• Percentage is a ratio expressed as a fraction of 100.
• Increase and decrease percentage can be calculated using the formula (New value - Old value) / Old value * 100.
• Percentage change can be calculated using the formula (New value - Old value) / Old value * 100.
• Percentage has various applications in real-life scenarios, such as finance, statistics, and science.

Profit and Loss

• Profit is the difference between the selling price and the cost price of a product.
• Loss is the difference between the cost price and the selling price of a product.
• Discount is a reduction in the price of a product, often expressed as a percentage.
• Marked price is the original price of a product before any discount.
• Profit and loss have various applications in real-life scenarios, such as business and commerce.

Simple Interest and Compound Interest

• Simple interest is the interest calculated on the initial principal amount.
• Compound interest is the interest calculated on both the principal amount and the accrued interest.
• Simple interest and compound interest can be calculated using formulas and have various applications in real-life scenarios, such as finance and banking.

Speed, Distance, and Time

• Speed is the rate of change of distance with respect to time.
• Distance is the amount of space traveled by an object.
• Time is the duration of an event or a journey.
• Relative speed is the speed of an object relative to another object.
• Speed, distance, and time have various applications in real-life scenarios, such as transportation and physics.

Data Interpretation

• Data interpretation is the process of analyzing and extracting information from data.
• Tabular data is data presented in a table format.
• Bar graphs and histograms are visual representations of data.
• Pie charts are circular representations of data.
• Data interpretation has various applications in real-life scenarios, such as business, statistics, and research.