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The Educator introduces the module of quantitative aptitude and its categories, in order to break the seemingly difficult subject for the students. Following are the categories for the Mathematics syllabus for SSC and its inclusive chapters.
Ratio and Proportion + Age Problems
Percentage + Profit and Loss + SI + CI
Time and Work + Pipes and Cistern + Work and Wages
Time, Speed and Distance + Alligation + Average + Data Interpretation
Mensuration 2D+ 3D
Simplification + Surds and Indices
Introducing the 6 types of ratio and proportion concepts, the Educator begins with the definition of Ratio and Proportion, its basic concepts and useful short-cuts and methods to solve questions. While the discussed questions are basic, the Educator makes a point to clearly explain each step for better understanding.
This lecture introduces the second concept for R&P based questions. The idea is based on a container with a mixture of liquids in a particular ratio and the following questions involve two, three or four containers and finding the changing ratios when different mixtures are put together.
The lecture deals with R&P questions based around income and expenditure: the relevant concepts and sample questions for the student to get clarity.
This lecture brings in the mixture-container type of questions, wherein any liquid is added, subtracted or replaced, thus changing the existing ratio of the mixture. The Educator brings in short-cuts and tricks to solve such problems quickly.
The concept is based on coins; the concept involves mixing different coins together in a particular ratio and the total monetary value is given: the problem-solving involves finding the number of each type of coins in the mixture. The concept is concluded by sample questions on the same topic.
Beginning the chapter on age related problems, the chapter details the basic concepts related to age and some basic questions are discussed further so that the concept is clarified for the student.
In the subsequent lecture, the Educator progresses from basic to some advanced -level questions in order to successfully prepare the student for all and any relevant questions that can be encountered in the examination. The tricks and short-cuts detailed herein make it simpler to understand the concept without losing touch with examination viewpoint.
To exemplify the introduced topic, the lesson proceeds to tackling questions of ratio; the sample problems involve an incorrect distribution of money amongst people where the correct ratio of share is given. The problem-solving lies in finding the amount equivalent to each person’s individual share in the correct ratio.
Moving further with the topic, the Educator now moves to questions which certain share of a profit earned is invested/donated and the remnant is to be then correctly distributed as per the given ratio amongst partners. This seemingly complex problem is broken into simpler parts and hence made easier for the student to understand. The Educator, with his way of teaching, makes it a point to undo the matho-phobia in all or any of his students.
Alligations, as demonstrated by the Educator, are a rearranged part of weighted average. The lecture uses suitable examples to add to the idea and certain basic questions are solved with the Educator. Emphasizing on the significance of Alligation as a mathematical concept, the Educator also brings in questions related to Time, Speed and Distance, Income and Expenditure, and Averages, using the same formulae.
Extending this topic, this lecture applies the concept of Alligation for questions involving Profit and Loss, Simple Interest and Compound Interest. Being extremely significant for an exam aspirant, the Educator spends due time and attention to these questions and makes the student be at ease and be quick at such questions.
In another extension of this concept, the Educator brings in questions related to Mixture and applies Alligation-based concepts to solve the same. These questions involve creating the formula for finding the final quantity of a mixture after multiple replacements in the proportion of its liquids.
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