
Learn substitution technique part 2 to simplify percentage and price-change problems by assuming a base value (100) and applying discounts, profit/loss, and ratios with practical strategies.
Use sequencing to deduce general results from small data sets, showing the average of the first n odd numbers is n and counting squares on an 8x8 chessboard.
Count rectangles on square grids using a sequence pattern to derive 1, 9, 36, and 1296 rectangles for 1x1, 2x2, 3x3, and 8x8 chessboards, and apply between-number counting.
Learn to divide a total value into shares using a 3:4:5 ratio, calculating A, B, and C shares, and to combine ratios by equalizing values through scaling.
Define percentage as the value divided by the total, multiplied by 100. Use percentages to compare scores across different totals, illustrated with examples like 400/500 and 600/1000.
Work through percent arithmetic with practical examples, learning to compute 10%, 20%, 40%, and 50% of numbers and apply left-to-right and right-to-left strategies to solve compound percent questions.
Learn to compute percentage change using a base of 100x, handling increases and decreases, and solving recovery problems like price and population adjustments.
Learn the difference between simple interest and compound interest, with formulas for each and how compounding frequency, whether annual or every six months, shapes the final amount.
Apply average and total-sum techniques to solve cricket score problems, including the sixth player's score counted twice, and compute the overall class average with a new student.
This example solves a milk-to-water ratio problem: starting with 64 liters of milk and 16 liters of water (4:1), add 240 liters of water to achieve a 1:4 milk-to-water ratio.
Master speed, distance, and time concepts with formulas for speed as distance over time, and learn average and relative speed for objects moving in the same or opposite directions.
Identify the direct variation between earnings and audience size, and solve a proportion by cross-multiplication. Conclude that a 20-attendee performance earns $300.
Master geometry concepts by examining lines, rays, and angles—parallel and perpendicular lines, supplementary and complementary angles, vertical opposite angles, and how three parallel lines with a transversal yield proportional segments.
Master the Pythagorean theorem, c^2 = a^2 + b^2, and the hypotenuse; identify 3-4-5 triplets and their multiples, and explore similar and congruent triangles through ratios.
Explore special triangles, including 30-60-90 and 45-45-90, derived from an equilateral triangle; learn the side ratios 1:√3:2 and the hypotenuse √2 times a leg.
Explore functions and algebraic expressions, including one-variable functions and solving simple equations. Solve linear systems by aligning coefficients and identify parallel lines with zero or infinite solutions.
Master absolute values, the modulus function, and inequality ranges by converting expressions like |x| ≥ 5 and |x-3| ≤ 2 into number-line intervals.
Use a graphical approach to solve x^2-4x+3 for >0, =0, and <0, identifying roots at x=1 and x=3; obtain (-infinity,1) union (3, infinity) and (1,3).
Identify the target and whether order matters, draw slots, and apply permutation or combination rules; illustrated with 30 students forming handshakes, yielding 435 ways.
Explains conditional slots in selection problems, showing how to form a diagonal by choosing two vertices; with eight options for the first and five for the second, giving twenty.
Explore combinatorial counting through selecting 3 boys from 5 and 2 girls from 6 using slot methods, then count rectangles and squares on a 5x5 chessboard using line selections.
Explore the basics of probability, including events, outcomes, and the ratio of favorable to total outcomes, with examples like coin toss and rain showing probabilities range from 0 to 1.
Learn the difference between lists and sets, and master Venn diagrams with union, intersection, and complements. Explore disjoint sets, subsets, and counting elements using universal sets and grids.
Master three-set problems with Venn diagrams, learning A, B, C, union and intersection, including none and the three-way intersection formula, illustrated by a total-students example.
Hi students, here I am going to tell you how our course is different from others
1. Our Course is designed through White Board Animated Videos, So you can avoid seeing the face of the trainer, which amends your attention.
2. Your trainer is an expert with 15 years of experience in teaching for competitive exams.
3. You will get the best techniques as per Exam Standards in 2020.
4. Here you see how to apply the learned techniques in real life world.
5. Here we don't teach but we train you to solve by yourself.
6. We the testprep24 team is available 24*7 to clarify your doubts, which sounds like a very good opportunity to grab on.
7. Guaranteed score improvements you can see on a regular basis.
The benefits what a student get by Completing this Course:
With 15 years of Experience in teaching for competitive exams, the course was perfectly crafted in such a way where " you don't miss any concept required for your exam"
(i) Techniques lead over Concepts:
Most of the test-takers struggle to get the right Answers for some Questions because they are unaware of the fact that Eliminating wrong answers is quiet easier than finding the Correct Answer. Here you will learn those Techniques.
(ii) If No Time then have Time:
The traditional way of solving questions kill your time in Exam.So we teach you the techniques that save your time and improves Accuracy.
(iii) Animated Videos:
Our Course is designed through White Board Animated Videos, So you can avoid seeing the face of the Trainer which improves your attention.
(iv) Concepts what you will learn in this course?
In this course, you will learn all the topics needed for competitive exams. The topics included are Arithmetic, Algebra, Geometry, Permutations, Probability, Inequalities, Statistics, Graphs along with this the different concepts of numbers etc .
(v) Techniques what you will learn in this course?
In this course we will discuss the techniques needed for the students. Generally, while answering multiple-choice questions, and Data sufficiency questions students used to take a longer time to solve those questions. So with the help of these techniques like eliminations, approximations, substitutions and sequencing students will gain knowledge in solving the problems from the answer choices. This helps the students to save lot of time while solving tough questions so that he can utilise that time for other questions. Here, the student will learn the strategies to answer the questions with out actually solving them.
(vi) Can you solve the following questions in 8 minutes time?
1. Is |p+2| > |q-2|
Statement (1): ‘p’ is even prime number
Statement (2):‘q’ is a highest common factor of 4 and 6
A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
B. Statement (1) alone is not sufficient, but statement (2) alone is sufficient.
C. Statement (1) & (2) together are sufficient, but individually are not sufficient.
D. Statement (1) alone or statement (2) alone is sufficient.
E. Statement (1) & (2) together are not sufficient to answer the question.
2. Is P > 2 ?
Statement 1 : |p + 1| < 3
Statement 2 : |p – 1|< 3
A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
B. Statement (1) alone is not sufficient, but statement (2) alone is sufficient.
C. Statement (1) & (2) together are sufficient, but individually are not sufficient.
D. Statement (1) alone or statement (2) alone is sufficient.
E. Statement (1) & (2) together are not sufficient to answer the question.
3. A company having 45,600 employees offered a voluntary retirement scheme. 40% of the employees applied for VRS but the company has rejected 15% of applications, but only 9120 employees took the retirement through the scheme. What percentage of employees did not take retirement even through their applications are not rejected.
A. 25%
B. 24%
C. 14%
D. 13%
4. John and Roy were each paid X dollars in advance to do a certain job together. John worked on the job for 10 hours and Roy worked 2 hours less than John. If Roy gives john Y dollars of his payment, they would have received the same hourly wage. What was the dollar amount in terms of Y that Roy was paid in advance?
A. 5Y
B. 6Y
C. 8Y
D. 9Y
5. A company has 2,823 employees as on January 2021.The Company hired p% of employees and fired q% of employees. By the end of the year, the company has same number of employees as in the beginning of the year. Then which of the following is true?
A. p>q
B. p=q
C. p<q
D. Relationship cannot be determined
By completing this course , you can able to solve the above questions in less than 5 minutes time.
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