CAT Quant 42 Hours Preparation | CAT 99%ile Instructor

Learn how prime factorization writes a number as a product of prime factors, with examples like 12 and 980, using divisibility to extract primes such as 2, 5, and 7.

Learn to find the lowest common multiple (Elsom) using multiples, with 12 and 18 showing the result 36, and apply common factors or prime factorization.

Find the least common multiple of 12, 15, and 21 to equalize biscuit counts across brands, resulting in 35 packets of A, 28 of B, and 20 of C.

Discover how to find the hcf and lcm of fractions by using the gcd of numerators and the lcm of denominators, with emphasis on fractions' simplification.

Learn to compare fractions by converting them to like fractions with a common denominator, using common factors to simplify, then compare numerators to identify the larger fraction.

Classify numbers into natural, whole, integers, rational, and irrational. Learn how rational numbers use P by Q with Q not zero; irrational numbers differ; both are real numbers.

Learn to convert non terminating recurring decimals to rational numbers by shifting the repeating block with multiplication and solving for X, with examples like 0.3 bar and 0.345 bar.

Learn a shortcut to convert non terminating recurring decimals to p/q by using a repeating-block denominator of nines and subtracting the nonrepeating part, with examples.

Learn how to solve linear equations by balancing left-hand and right-hand sides around the equality sign, using add, subtract, multiply, divide, and transposing to isolate x for a definite value.

Practise Problem 1, 2, 3 cover solving three algebraic word problems: cows and chickens by heads and legs, daughter’s age from mother’s age, and fixed plus variable travel costs.

Learn how to compute absolute and percentage changes using Mr. Han's money example, defining percentage change as the change divided by the initial amount and showing a 200% result.

Compute the percentage point change from 40% to 50% and the corresponding percentage change, 10 percentage points and 25 percent, to illustrate how pass percentage thresholds are compared.

Compute how a 12.5% price rise and 180 km monthly travel at 15 km per liter lead to a 20 km reduction in riding to keep expenditure constant.

Learn two essential average-based CAT quant problems: updating the average after the sixth game and finding sixth-game minutes, using a fast logical method over the conventional approach.

Visualize the 30 games at 50 minutes and the 35 games at 55 minutes to determine the minutes in the last five games. This approach yields 25 minutes.

Solve a CAT quant average problem: eight members, 60 kg average; two move away, two join by marriage, new average 58 kg; movers 66 kg, new members 58 kg.

Average speed equals total distance divided by total time, not the mean of speeds; for A to B back at 40 and 50 km/h, it's 400/9 km/h.

Compute average speed for a journey in which one-fifth of the distance is traveled at 2 km/h and the rest at 3 km/h, as shown in CAT quant preparation problem.

Learn how to compute a combined average using weights, summing weighted values by group sizes. See two perspectives: class averages and paper-based weights to derive the overall score.

Solve a staff age puzzle: 120 employees, initial average age 25, males to females 2:1; after changing counts to keep 120 and new average 22, the male average is 31.

Solve quiz-style cat quant questions on percentages, averages, age problems, votes, mixtures, speeds, ratios, and simple interest with step-by-step video solutions.

Apply the simple interest formula P × T × R / 100 to compute interest and total repayment, illustrated with 1000 at 10% for 3 years (300 interest, 2300 total).

Explore how the difference between compound interest and simple interest over two years is calculated, using a sample problem and three solution approaches, including a logical, detailed, and option-based method.

Test the difference between simple and compound interest by evaluating options and matching first-year interest to the principal, concluding that ten thousand by three (option C) is correct.

Compare simple interest of 20 percent for three years on $1,000 with compound interest at 15 percent, and determine the difference in interest earned.

Apply annual depreciation of five percent to a thousand-dollar refrigerator and compute its value after two years, showing a compound-interest-like reduction to 902.5 dollars.

Treat population growth like compound interest to reverse-calculate the initial population from a three-year, 20 percent annual increase, using option checks to verify whether the result matches 1,244,416.

Compute the compound annual growth rate (CAGR) from a three-period sales example, showing 100 million growing to 133.1 million at 10 percent annually, equal to compound interest.

Calculate CAGR by applying a 20 percent annual growth to 10 million over three years to reach about 17.2 million, using a trial-and-check elimination method.

Learn to compare three-item ratios by using common terms and lcm to make denominators equal, illustrated with a:b:c = 8:12:15 and a library fiction to nonfiction ratio example.

Explore direct and inverse variation, learn the notation of direct and inverse proportionality, and express them as a = k b or a = k / b with examples.

Apply direct proportionality between coal consumption and distance at a constant speed of 40 mph to compute coal for 240 miles, yielding 12 tons.

Explore combined variation by uniting direct and inverse relations into A = k B / C, and apply e = k a / f in machine efficiency problem, yielding 500.

Explore proportionality in motion through practice problems 1-4, learning how speed changes affect travel time for a constant distance using speed–time relationships.

Analyze a same-start-time travel problem with John and Clara, derive speed ratios from the inverse relation between speed and time, and locate their meeting time using constant distance.

Calculate the crossing time of a 200-meter train relative to a passenger on a parallel-track train by applying relative speed and converting km/h to m/s, 28.8 seconds.

Solve escalator based problems by analyzing visible steps, directions, and the escalator’s movement as you compare steps taken by individuals when moving up versus down.

solve a time zone problem with two cities 3000 km apart and a 30 km/h wind, determining the time difference and train speed: 1 hour and 130 km/h.

Practice problems 7–9 cover snail escape with daily net gains and a three-pipe tank filling scenario. The discussion emphasizes step-by-step calculation and recognizing sequential vs non-simultaneous events.

Practice solving work-rate problems by analyzing combined daily progress for Bob, John, and Tanya using percentage and fraction methods to determine days to complete the work.