Extended SSC MATHS MCQs

In mathematics, the central value of a set of data is expressed as the average of a list of data. It is defined mathematically as the ratio of the total number of data points to the number of units in the list. In terms of statistics, the term "mean" also refers to the average of a certain set of numerical data. The average of 1, 2, and 3 is, for instance, (1+2+3)/3 = 6/3 = 2.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred.

Mathematicians use the profit and loss formula to calculate market prices for goods. There is a selling price and a cost price for every goods. We can determine the profit made or loss suffered for a certain product based on the values of these prices.

The price of the whole quantity or amount, typically less than its original worth, is known as the discount rate. The discount is essentially the difference between the listed price and the selling price according to the profit and loss concept.
Selling price is the price at which the good or commodity has actually been sold, whereas marked price is the cost set by the seller in accordance with market norms.

Simple interest is the amount of interest charged on a specific principal amount at a specific interest rate. Contrarily, compound interest is calculated on the principal as well as the interest accrued during the prior period.

The "Compound Interest" course offers an in-depth exploration of one of the most powerful concepts in mathematics that underpins financial planning, investments, loans, and many other real-world scenarios. This course equips learners with a comprehensive understanding of compound interest, enabling them to make informed financial decisions and solve complex problems related to exponential growth. Through a combination of theoretical principles, practical examples, and hands-on calculations, participants will gain the necessary skills to harness the potential of compound interest to their advantage.

The "Ratio and Proportion" chapter is a fundamental topic in mathematics that deals with the relationship between quantities and their relative comparison. It forms the basis for understanding proportions, scaling, and comparing different quantities in various real-life scenarios. This chapter is typically covered in middle school or early high school mathematics courses and serves as a stepping stone for more advanced topics like percentages, percentages, and algebraic expressions.

Another framework for time- and work-based questions is pipes and cistern. You might ask questions like how long it takes to fill or empty a tank, how much work is involved, and other similar questions. A candidate should be aware of two key things regarding such questions:
Inlet :An inlet is a pipe that is linked to a tank to fill it with water. This kind of work has been accomplished.
Outlet :An outlet is a pipe that is connected to empty the water from the tank. This suggests that the work was of a negative nature. it may also be referred to as "leak."

Welcome to the Time and Work Mathematics course! This comprehensive program is designed to help you master the fundamental concepts and problem-solving techniques related to time and work in mathematics. This course is suitable for students at the high school level and beyond, as well as anyone seeking to enhance their understanding of time and work problems.

In this course, we will explore the fundamental concepts of Time and Distance, two essential physical quantities that play a crucial role in our understanding of motion and events. Time is a fundamental quantity that defines the sequence and duration of events, while Distance represents the length of space between two points.

Throughout the course, we will delve into the various units used to measure Time, such as seconds (s), minutes (min), and hours (hr). Additionally, we will study the units of Distance, including meters (m), kilometers (km), miles, and feet. Understanding these units is vital for accurate measurements and conversions in real-world scenarios.

The following list of subconcepts relates to how to respond to queries based on the boat and stream concept. The four terms a candidate should be familiar with in order to understand the concept of streams are listed below.

Stream: A stream is the name for the flowing water in a river.
Upstream - The term "upstream" refers to a boat that is moving against the direction of the stream. The boat's net speed in this scenario is referred to as the upstream speed.

Downstream - The term "downstream" refers to a boat that is moving in the stream's direction. The downstream speed in this instance refers to the boat's net speed.
Still Water In this case, the water is regarded as immobile, and the speed of water is zero.

The "Alligation or Mixture" course provides a comprehensive exploration of one of the essential topics in mathematics that deals with the mixing of different components to form a solution of a desired strength or concentration. This course equips learners with the necessary tools and techniques to solve complex mixture problems commonly encountered in fields such as chemistry, finance, pharmacy, and other real-world applications. Through a combination of theoretical concepts and practical exercises, participants will develop a deep understanding of alligation and its versatile applications.

Algebra encompasses the examination of variables and the principles governing their manipulation within formulas, serving as a central thread interconnecting various branches of mathematics. Elementary algebra focuses on treating variables as numerical entities, making it a crucial foundation for practically every mathematical application.

Geometry is a branch of mathematics that deals with the properties of shapes and figures. It is a vast and complex subject, but it can be broken down into two main areas: plane geometry and solid geometry.

Mensuration is a branch of mathematics that deals with the measurement of various geometric figures and their associated properties. This course is designed to introduce students to the principles and techniques used in the study of geometric shapes, dimensions, areas, volumes, and other quantitative aspects related to 2D and 3D objects.

Course Objectives:
1. Understanding Geometric Figures: Students will learn about fundamental geometric shapes such as lines, angles, triangles, quadrilaterals, circles, and polygons. They will explore the properties and characteristics of these figures, including angles, sides, diagonals, and symmetries.

2. Perimeter and Area: Students will be introduced to the concepts of perimeter and area for 2D shapes. They will learn how to calculate the perimeter and area of rectangles, squares, triangles, circles, and irregular polygons using appropriate formulas and techniques.

3. Surface Area and Volume: This part of the course focuses on calculating the surface area and volume of 3D objects. Students will explore methods to find the surface area of cubes, prisms, cylinders, cones, pyramids, and spheres, as well as how to determine the volume of these shapes.

The study of the correlation between a right-angled triangle's sides and angles is the focus of one of the most significant branches of mathematics in history: trigonometry. Hipparchus, a Greek mathematician, introduced this idea. In this post, we'll learn the fundamentals of trigonometry, including its functions, ratios, tables, formulae, and numerous solved examples.