TLDR;
This video features a math lesson geared towards students preparing for the KGS SSC Exams, particularly the IB Security Assistant exam. The instructor provides tips on exam preparation, emphasizing the importance of consistent effort and learning from failures. The session includes solving a variety of math problems, focusing on time-saving techniques and conceptual clarity. The instructor also shares motivational advice and study strategies for the final days leading up to the exam.
- Exam preparation tips and motivational advice.
- Problem-solving techniques for various math questions.
- Time-saving strategies for exams.
- Conceptual clarity and shortcut methods.
Intro and General Exam Advice [0:11]
The instructor greets the students and emphasizes that preparation is never truly complete, even for those who are well-prepared. He categorizes students into two groups: those ready for selection and those who feel less prepared. For the latter, he advises giving their best effort and focusing on self-improvement rather than dwelling on shortcomings. He encourages continuous hard work, mock tests, and viewing exams as learning experiences. The instructor assures all students that they are on a learning journey and will eventually achieve success.
Ratio and Proportion Problems [2:22]
The instructor begins solving math problems, starting with a ratio and proportion question. He demonstrates a quick method to solve the problem in under 10 seconds by identifying multiples of 12, avoiding the need for extensive calculations. He advises students to use smart approaches rather than getting bogged down in complex techniques.
Percentage Change and Successive Concepts [4:30]
The instructor addresses a question involving percentage change in the area of a rectangle. He applies the successive concept formula (x + y + xy/100) to efficiently find the answer in approximately 15 seconds. He emphasizes the importance of understanding the concept and applying the formula correctly, using appropriate signs for increases and decreases.
Ratio and Proportion with Multiple Variables [7:45]
The instructor tackles a ratio and proportion problem involving three individuals: Kishore, Pradeep, and Sandeep. He uses the LCM method to equalize the common element (Pradeep) in the ratios. The instructor then introduces a shortcut to find Sandeep's share by identifying multiples of 11, quickly arriving at the correct answer.
Mixture Problems and Equalizing Ratios [9:19]
The instructor explains a mixture problem involving milk and water. He emphasizes the importance of equalizing the milk ratio when water is added. By setting up the initial and final ratios and using the given total quantity (70 liters), he calculates the amount of water to be added, arriving at the answer of 210 liters.
Average of Prime Numbers [11:44]
The instructor solves a problem that requires finding the average of all prime numbers between 70 and 100. He identifies the prime numbers and explains that since there is no series, normal addition is required. He adds the prime numbers and divides by the count to find the average, which is 82.
Profit and Loss Percentage [14:16]
The instructor addresses a profit and loss question where the selling price is reduced, resulting in a loss. He explains the concept of calculating profit or loss based on the cost price. By setting up an equation using the given information, he finds the ratio of selling price to cost price and calculates the profit percentage, which is 10%.
Age-Related Problems [16:41]
The instructor solves an age-related problem involving the ages of A and B. He explains that the age difference between A and B remains constant over time. By using the given ratio and the age difference, he calculates their present ages, emphasizing the importance of adding back the years to find the current age.
Ratio and Difference Problems [19:53]
The instructor tackles a problem involving the prices of three items A, B, and C. He sets up ratios based on the given percentage increases and uses the common element (B) to equalize the ratios. By using the given difference between the prices of C and A, he calculates the price of item A, which is ₹80.
Time and Work Problems [23:20]
The instructor explains a time and work problem involving two machines, A and B. He calculates the LCM to find the total work and determines the efficiency of each machine. By using the information about the number of days they worked together and the remaining work done by A alone, he finds the number of days A worked alone, which is 5 days.
Distribution and Ratios [25:56]
The instructor solves a problem involving the distribution of ₹2310 among three groups. He sets up equations based on the given ratios and uses the information to find the share of each group. By identifying the relationships between the shares, he quickly arrives at the correct answer.
Simple Interest Calculations [27:33]
The instructor addresses a simple interest problem where a sum becomes a certain amount over a period of time. He calculates the interest earned and determines the rate of interest. By using the rate of interest, he calculates the simple interest for a different sum and time period, arriving at the final amount of ₹10,800.
Income and Expenditure Ratios [30:17]
The instructor solves a problem involving the income and expenditure ratios of A and B. He uses the difference technique to find the expenditure of B. By identifying multiples of 11, he quickly arrives at the correct answer of ₹3300. He also explains the detailed process for solving the problem if multiple options are multiples of 11.
Pie Chart Analysis [34:28]
The instructor analyzes a pie chart representing the distribution of students in five different schools. He calculates the sum of students in schools A and E and finds the difference with school C. By calculating the percentage of this difference with respect to the total number of students, he arrives at the answer of 4625.
Geometry and Perimeter Problems [37:17]
The instructor solves a geometry problem involving a rectangle and a square. By using the given information about the sum of length and breadth of the rectangle and the perimeter, he calculates the side of the square. He then finds the diagonal of the square, which is 10√2.
Train Crossing Problems [38:44]
The instructor explains a train crossing problem where a train crosses a pole and a bridge. By using the time taken to cross the pole, he determines the speed of the train. He then calculates the length of the bridge using the time taken to cross it, arriving at the answer of 1.2 km.
Simplification and Algebraic Identities [40:15]
The instructor simplifies an algebraic expression involving a + b and a - b. By applying algebraic identities and simplifying the expression, he arrives at the answer of 4.
Remainder Theorem Problems [41:48]
The instructor addresses a remainder theorem problem where a number is divided by 56 and then by 8. He explains the condition for applying the theorem and calculates the remainder when the number is divided by 8, which is 5.
Geometry and Angle Bisectors [43:34]
The instructor solves a geometry problem involving angle bisectors in a triangle. He explains the result for finding the angle formed by the internal angle bisectors and applies it to the given problem, arriving at the answer of 115°.
Boat and Stream Problems [44:54]
The instructor explains a boat and stream problem involving downstream and upstream speeds. He uses the given ratios and information to find the speed of the stream and the boat. By calculating the upstream speed and using the formula, he finds the time taken to travel a certain distance in still water, which is 3 hours.
Mensuration and Volume Calculations [49:50]
The instructor solves a mensuration problem involving a cylinder and a cone. He explains the formula for the volume of a cylinder and converts liters to cubic centimeters. By using the given information and applying the formulas, he calculates the height of the cylinder and the radius of the cone.
Percentage and Marks Calculation [52:51]
The instructor addresses a problem involving the marks scored by Amit and Rohan. By using the given information about the pass percentage and the difference in marks, he calculates the maximum marks for the exam, which is 600.
Area and Perimeter of Rectangle [54:06]
The instructor solves a problem involving the area and perimeter of a rectangle. By using the given information and applying the formulas, he finds the length and breadth of the rectangle. He then uses the Pythagorean triplet to find the length of the diagonal.
Boat and Stream Problems [56:14]
The instructor explains a boat and stream problem involving upstream and downstream speeds. By using the given information and applying the formulas, he finds the speed of the boat in still water. He then calculates the time taken to travel a certain distance in still water, which is 7 hours.
Data Interpretation and Percentage Calculation [58:35]
The instructor analyzes a data interpretation problem involving painting and music competitions. By using the given information and calculating the percentages, he arrives at the answer of 64%.
Surface Area and Volume of Cylinder and Cone [1:00:28]
The instructor solves a problem involving the surface area and volume of a cylinder and a cone. By using the given information and applying the formulas, he calculates the height of the cylinder and the radius of the cone.
Linear Equations and Cost Calculation [1:04:20]
The instructor addresses a problem involving the cost of shirts and trousers. By setting up linear equations and solving them, he calculates the cost of eight shirts, which is ₹240.
Marked Price and Profit Percentage [1:06:49]
The instructor solves a problem involving the marked price, discount percentage, and profit percentage of an item. By using the given information and applying the formulas, he calculates the selling price, which is ₹358.4.
Time and Work with Multiple Pipes [1:09:43]
The instructor explains a time and work problem involving three pipes, A, B, and C. By calculating the LCM to find the total work and determining the efficiency of each pipe, he finds the time taken to fill the tank, which is 5 hours.
Train Speed and Length Calculation [1:13:34]
The instructor solves a problem involving two trains moving in opposite directions. By using the given information and applying the formulas, he calculates the time taken by the larger train to cross a pole, which is 12 seconds.
Average and Correction Problems [1:20:17]
The instructor addresses a problem involving the average of marks and corrections. By using the given information and applying the formulas, he calculates the corrected average, which is 54.4.
Percentage and Comparison Problems [1:22:15]
The instructor solves a problem involving the percentage by which one quantity is less than another. By using the given information and applying the formulas, he calculates the required percentage, which is 16.67%.
Proportionality and Variation Problems [1:23:48]
The instructor explains a problem involving proportionality and variation. By using the given information and applying the formulas, he calculates the value of y, which is ±6.
Deviation Method and Average Problems [1:30:05]
The instructor solves a problem involving the average height of students and the inclusion of new students. By using the deviation method and applying the formulas, he calculates the new average height, which is 172 cm.
Time and Work with Alternate Hours [1:36:07]
The instructor explains a time and work problem involving three tabs and alternate hours. By calculating the LCM to find the total work and determining the efficiency of each tab, he finds the time taken to fill the tank, which is 5 hours.
Homework and Exam Tips [1:45:15]
The instructor provides homework questions and shares exam tips for the students. He emphasizes the importance of consistent effort and thorough preparation in the final days leading up to the exam.