CAT MBA Masterclass: Start Your IIM Journey in 56 Days

Trace the cat exam evolution from pen-and-paper origins to online formats, then three-section shifts in 2015, followed by covid-related reductions to 76 and 66 questions, with 2022 patterns uncertain.

Learn how IIM A, B, and C admissions weigh 10th and 12th results, not graduation, with 2021–23 batch trends across Calcutta, Lucknow, Ahmedabad, and Bangalore.

Analyze the CAT quant aptitude paper pattern, where arithmetic accounts for about 46% weightage, covering equations, ratio, proportion, variation, and percentages, with time and work and averages noted.

This lecture traces the CAT LRDI paper pattern from 1990 to 2021, highlighting shifts from calculation-heavy and average questions to path-based and data interpretation formats, including the 2009 online transition.

Learn how to build a profile to crack IIMs and top B-schools for CAT preparation, focusing on readiness and a one-year plan.

Dream big and map your short-term and long-term goals for MBA entrance success, visualize your target roles or own venture, and plan your preparation.

Discover the first three golden steps to acing cat: prepare your heart and soul, stay consistent, and choose your b-school course based on percentile and profile.

Explore the four golden ladders after cat, including the gwp course with group discussions and aptitude tests, then the personal interview, cv freezing, internships, and landing a dream job.

Assess premium B-school salary packages, decode the in-hand meaning, and gauge your standing across ranges like 35+, 28–35, and 20–27 to set trendsetter benchmarks.

learn how to craft a compelling profile with strategic certifications, cv framing, and honest explanations for diverse experiences and roles of responsibility.

Set short targets and work toward them rather than counting hours to crack cat exam. Aim for six months or more for ideal preparation, adding extra maths foundations if needed.

April to June is the difficult foundation phase for CAT prep; complete about 70% of the syllabus and build cognitive aptitude in arithmetic, algebra, and number system.

Navigate phase two of CAT preparation by staying calm during the confusion stage, revising concepts, and adding new ones while analyzing exam patterns and staying persistent.

Navigate the three-phase CAT prep path—from fundamentals in the first three months to the critical, workshop-driven phase—emphasizing revision, mock analysis, and time management.

Phase 5 grooming in CAT preparation focuses on building your profile early with English fluency and certifications, and daily newspaper reading to enhance WPA for group discussions and interviews.

Compare online, classroom, and hybrid prep routes for CAT MBA entrance, weighing self-study, coaching, and hybrid models to choose a flexible, doubt-resolving study plan.

Adopt the ideal online preparation strategy for CAD exams with slot-based tests and recorded lectures. Leverage flexible hours and online co-creation activities to boost exam readiness.

Learn the difference between percentage and percentile in cat exam scoring, how percentile ranks relate to top b-schools, and adopt a propitious preparation strategy.

Explore percentage to percentile conversion for cat by analyzing past papers, noting that 99th percentile near 45–46 marks on 76 questions, and 90th near 21 marks, with strategy over quantity.

Build persistence and consistency in CAT preparation with a daily schedule that starts at 2 hours and scales to 4–5 hours while mentors guide progress and you analyze your marks.

Plan a daily and weekly CAT schedule to finish the syllabus in 100 days, identify strong and weak topics, and use hybrid coaching to master geometry for top colleges.

Use mocks to mirror the CAT paper pattern and analyze results within 24 hours to focus on accuracy, aiming for 70–75% in VRC and 85–90% in other areas, avoiding flukes.

Identify the essential QA LRDI VARC books for CAT self-study, emphasizing RC and reading comprehension, vocabulary and grammar, plus past papers and coaching material to sharpen cognitive aptitude.

Explore free marketing certifications to strengthen your marketing profile for CAD exam preparation, including marketing management, CRM, customer behavior, quantitative marketing research, and marketing analytics, six months before CAD exam.

Explore high-paying consultant roles through free certification courses on Coursera and Allison, including fundamentals of corporate management, strategic management, and corporate strategy to sharpen interview-ready business strategy skills.

Understand the underlying pattern, plan a comprehensive strategy with time management and consistency, and practice many questions with mentor guidance for cat success.

Explore the classifications of numbers, including real, imaginary, and undefined numbers, and distinguish rational and irrational numbers, terminating decimals, and proper vs improper fractions.

Identify irrational numbers as non-perfect square roots with nonterminating decimals, including pi, and distinguish them from imaginary numbers that involve a negative under the root.

Learn how to convert recurring decimals to fractions by setting x as the repeating decimal, multiplying to align repeats, subtracting to isolate x, and applying tricks for mixed nonrepeating parts.

Convert recurring numbers to fractions using the 10-second method by separating recurring and non-recurring parts, then apply the nine-and-zero formula based on repeating and non-repeating digit counts.

Explore simple vedic maths tricks for solving square problems using unit digit and even-odd logic, including last two digits and perfect squares, to quickly identify x^2 options in CAT-style questions.

Master the last two digits of squares using the 50n plus or minus a square rule, comparing 106^2 and 104^2 to determine which ends in 36.

Learn percentages with both arithmetic and number-system approaches, using unit-digit, last two digits, and digital sum logic to solve 37% of 145.

Apply unit digit logic to speed up percentage and multiplication questions, identify options by unit digit, and decide when even/odd checks apply; preview last two digits topics.

Master unit digit and last two digits logic to quickly determine perfect square endings, using 78^2 ending in 84 and vedic maths with pythagorean triplet when needed.

Apply Pythagorean triplet logic to odd and even cases, such as 19, 180, 181 and 12, 35, 37, and learn that any real multiplier yields additional triplets.

Employ even-odd, uni-digit, last-two-digits logic, and digital-sum logic to eliminate options and solve CAT-level questions, with examples spanning bank, SSC, and UPSC-style exams.

Explore remainders and divisibility rules, and learn that a perfect square is either divisible by four or leaves a remainder of one when divided by four, with unit-digit checks.

Master the trick to multiply numbers ending with 5 by using x*y plus x plus y over two, reveal last two digits as 25 or 75, with parity rules demonstrated.

Apply the last two digits logic for powers of 25, showing 25 raised to any positive power ends in 25, and 25 to the power of 0 equals 1.

Explore a fast method to solve CAT 2008 perfect square questions by using that perfect squares are 4k or 4k+1, verify remainders when divided by four, and apply cyclicity.

Expose the cyclicity of unit digits in powers from 2 to 9, identify repeating cycles and their lengths, and preview how to apply cyclicity in calculations.

Explain the cyclicity of unit digits for powers of 2, 3, 7, and 8, using a four-step cycle and remainders to predict end digits and last-two-digit results.

explore the cyclicity of last two digits in powers, showing how 7^n and 5^n patterns yield 01 for 7^4 and 25 for 5^n, and relate 1/2^n to 5^n.

Examine the last two digits of powers of five and two and their reciprocals, showing that 1/5^n shares last two digits with 2^n and 1/2^n with 5^n.

Discover how to find the last two digits of powers of two and five using modular patterns and reciprocal ideas, then combine this with digital sum techniques.

Explore the digital sum concept in base ten, showing how a, b, c, d digits and their sum determine divisibility by nine and the remainder modulo nine.

Learn to compute the digital sum of fractions p/q, with denominators 3,6,9 excluded, and how multiplying numerator and denominator can yield a digital sum of one.

Explore how numbers with a digital sum of nine retain that sum under addition and multiplication, and apply this pattern to solve pattern-based digit-sum questions.

See how minus one to even powers gives plus one and minus one to odd powers gives minus one in remainders, and learn to convert negatives by adding the divisor.

Learn how to compute negative and positive remainders in powers, with explained-type 4, using modular reductions like 5^124 mod 24 and 7^63 mod 50.

Master modular arithmetic with the Chinese remainder theorem, solving remainder problems, handling coprime and non-coprime fractions, and applying divisibility rules for quick results.

Master remainder calculations for higher powers by applying division concepts, evaluating remainders of expressions like 11^11 modulo 9 and modulo 3, and using quotient and remainder reasoning.

Explore how minus one to the power of a number determines the remainder and the odd/even outcomes in cat-style questions for competitive exams.

Explore remainder of higher powers through modular arithmetic, solving a sample problem by evaluating powers modulo 7 and modulo 3, and analyzing parity to determine outcomes.

Explore algebra with remainders and divisibility, proving expressions like x^3+y^3 and x^2+y^2-xy over x+y, and preview Euler's, Fermat's, and Wilson's theorems to connect remainder concepts for exams.

Explore Euler's totient function, its origin, and how phi counts numbers coprime to n, with applications to remainders and modern encryption like RSA.

Investigate Fermat's little theorem, its prime modulus condition a^{p-1} ≡ 1 mod p for coprime a, and its links to Euler's theorem and the Chinese remainder theorem.

Trace the origins of the Chinese remainder theorem, its link to Euler's theorem, from a third-century Xu text through Aryabhata and Brahmagupta, and learn to apply it.

Trace the development of Wilson's theorem, from its early origins to Lagrange's 1771 proof, and see how factorials just below a prime relate to that prime.

Explore Euler's totient function, or phi, which counts natural numbers less than n that are coprime with n, illustrated by eight having totient four.

Explore coprime numbers and the totient function by examining the highest common factor of two integers, with examples like four and five, seven and eleven, and eight and fifteen.

Explore why Euler and Fermat theorems matter for computing remainders, especially with composite versus prime denominators, and learn when to apply each to avoid tedious calculations.

Explore prime factorization as the prerequisite for Euler and Fermat’s theorems, learning how to factor numbers, identify prime bases, and recognize perfect squares to master remainders and division concepts.

Learn the totient function, phi, and its role as the base of Euler's theorem. Understand coprime numbers through highest common factor and prime factorization.

Explore the phi(n) totient function formula using prime factorization, compute coprimes, and apply it to numbers like 6, 10, and 15 while preparing for Euler's theorem.

Learn Euler's theorem formula for remainders, using the totient function and coprime p and q, with a worked example of 51^20 mod 25 showing a remainder of plus one.

Explore how to extract unit, last two, and last three digits using remainders, divisors, and Euler's theorem, with examples like 23^120 and 31^107601.

Apply Euler's theorem to a type five higher-power problem: verify coprime 7 and 18, compute phi(18)=6, reduce the exponent modulo 6, and conclude the remainder is 7.

Apply Euler's theorem to compute remainders. Determine φ(54)=18 from 54=3^3×2 and use that 11 is coprime to 54 to find the remainder of 11^54 modulo 54.

Explore how Euler's theorem and the totient function are applied to compute remainders modulo 25 in type 6 practice questions, focusing on coprime bases and powers.

Master Euler's theorem type eight by examining digital sums as remainders modulo nine, using coprime 31 and nine and the totient to reduce powers to a remainder of one.

Apply Euler's theorem type 8(B) to compute remainders modulo nine. Use coprime bases and phi(9)=6 to evaluate powers like 23^121 and 56^119, confirming results.

Explore Fermat's little theorem for prime divisors, its link to Euler's theorem, and how the totient of a prime is q-1, yielding p^(q-1) mod q = 1.

Explore the totient function of a prime number, showing that the totient equals p minus one, and relate this result to Fermat's theorem.

Explore the application types of Fermat's theorem, from type 1 to type 5, grounded in the totient function of divisors and various power forms, including highest powers.

Explore Fermat's theorem type one questions where exponent equals totient of a prime divisor, ensure coprime numerator and denominator, and confirm exponent equals divisor minus one to yield remainder one.

Explore type two of Fermat's theorem, where the power is a multiple of the totient and the divisor is prime with coprime numerator and denominator, yielding remainder one.

Apply Fermat's theorem to compute remainders of large powers using coprime numbers and primes, with step-by-step examples from 12 and 23 and 15 and 29.

Explore Fermat's theorem applications and negative remainder techniques to solve modular equations, using prime numbers, coprime relationships, and remainder reasoning with powers in modular arithmetic.

Explore higher-power applications of Fermat's theorem, verify prime denominator and coprime numbers, and use modular reduction to determine remainders such as 31^(32^33) mod 10.

We apply Fermat's theorem to higher-power problems, examine coprimality, and use the totient function to confirm remainders of one. We solve two CAT replica questions, highlighting tricks and denominator primality.

Apply Fermat's theorem to a cat replica problem, reduce the exponent 7^7 modulo 12, verify coprimality, and compute the remainder of 6^(7^7) modulo 13.

Explore how Fermat's theorem applies to powers of ten modulo seven, analyze coprimality, and derive a zero remainder pattern for a Type 5-CAT replica question.

Apply Fermat's little theorem to primes not equal to 2 or 5, showing ten power q−1 minus one is divisible by q, enabling divisibility conclusions like repeating digits by 17.

Examine the limitations of remainder theorems, from the cumbersome negative theorem approach to Euler's totient-based results and Fermat's prime-case, and note CRT's constraint with prime powers.

Learn the Chinese remainder theorem procedure for composite denominators: factor into two co-prime numbers, compute remainders for each, equalize results, and determine the minimal solution.

Apply the Chinese remainder theorem by factoring 45 into coprime 5 and 9, computing modular remainders, and equating representations to obtain the result.

Apply the Chinese remainder theorem to eliminate options by using remainders from a composite denominator and the negative remainder theorem with coprime factors like 3 and 17.

This lecture demonstrates solving the Chinese remainder theorem from scratch, using factoring like 51 = 3 × 17 and modular arithmetic to express numbers in congruence forms.

Explore Wilson's theorem and its use with primes and factorials, showing how (n-1)! mod n equals n-1 and (n-2)! mod n equals 1 for quick cat-level problem solving.

Explore Wilson's theorem with a cat-level prime problem on 19, tracing remainders of 18!, 17!, and 16! modulo 19 to conclude the remainder equals one.

Explore algebraic remainders: a^n - b^n divisible by a - b; by a + b for even n; and a^n + b^n divisible by a + b for odd n.

Analyze previous year questions on remainders, covering the negative remainder theorem, Chinese remainder theorem, Euler's, Fermat's, Wilson's, and algebraic remainders. Explore the base of remainders and their implications and applications.

An exploration of algebraic remainders in cat replica questions, using even-odd parity to test divisibility of expressions like a^n-b^n by a-b and a+b, with examples.

In this cat replica algebraic remainders problem, identify an arithmetic progression in paired terms and apply the odd-n divisibility rule for a^n + b^n, yielding divisibility by 31.

The question uses an arithmetic progression from 13 to 37, forming 25 terms and 12 pairs summing to 50, with middle term 25; remainder of 25^5 mod 50 is 25.

Apply algebraic remainder techniques to continued numbers of the same power by factoring exponents, using odd-power divisibility by a+b, and determining the remainder modulo five.

Apply Euler's theorem and the Chinese remainder theorem to compute modular powers mod 153, factoring 153 as 3^2×17, using phi(153)=96, and comparing approaches for remainder calculation.

Apply the Chinese remainder theorem and divisibility rules to find the remainder when a long digit sequence is divided by 36 by testing mod 4 and mod 9.

Explore the Chinese remainder theorem alongside divisibility by four and nine, using digital sums to find the remainder modulo 36 of a large number.

Explain the difference between regular and successive division with 48 by 5, 6, and 7, showing how order alters remainders and quotients.

Derive the nth term and the number of terms in arithmetic progression using a and d, and apply the formulas for terms and sums.

Master the sum of n terms in an arithmetic progression using the first and last terms. Apply the formula S_n = n/2 (a + l) for any a and d.

Learn to solve successive division problems by matching dividends to remainders for divisors 15 and 18, using the least common multiple to find the sequence of n terms.

Master the successive division method to solve problems quickly by adding the divisor and remainder, then multiplying by the next divisor and adding the next remainder, noting order matters.

Apply successive division patterns to determine the remainder; use an arithmetic progression with a 60-step to find the 15th term, 959, which yields remainder zero on division by seven.

Learn factorials, determine highest powers, and compute trailing zeros, revealing how these concepts interrelate and how to find highest powers within factorial expressions.

Understand factorial as the product from 1 to n for natural and whole numbers, including zero factorial, and apply it to permutations, combinations, and probability.

Explore factorial basics, including defining zero factorial as one and deriving n factorial through division by n, with natural and whole numbers and practical examples.

Explains the unit digit of the sum of factorials up to n!, showing it becomes three for n≥3 and stays three, while previewing the highest power concept.

Learn how to determine the highest power in a factorial through prime factorization, counting multiples of primes, and adjusting for higher powers within the product.

Compute the highest power of a prime in n! using the floor-sum formula floor(n/p) + floor(n/p^2) + floor(n/p^3) + ... until p^k > n, and understand the greatest integer function.

Formulate and apply a simple formula to find the highest power of a prime in n factorial, using examples like 40! for 7 and 100! for 3.

Use a division-based formula to find the highest power of a prime in n factorial by dividing and summing quotients. For 100 factorial, you obtain 2^97, 3^48, and 5^24.

Determine the unit digit of the sum of factorials from 1! to 1003!, showing that beyond 5! the unit digits are zero and the result is 3.

Explore factorial squares up to 1002!, derive remainders mod 2 and 9 via unit-digit and digital-sum rules, then apply the Chinese remainder theorem to obtain remainder 5 mod 18.

Explore the factorial concept and verify that 145 is the only three-digit number equal to the sum of its digits' factorials, ruling out other combinations in the cat replica.

Generalize the sum of k times k! from k=1 to n by spotting a pattern, showing it equals (n+1)! - 1, and validate with a cross-check up to 11 terms.

Show that for primes p of the form six k plus or minus one, n = p^2 − 1 is a multiple of 24, highlighting the divisibility rule.

The lecture shows that for odd a, n = a(a^2−1) equals a−1, a, a+1, three consecutive terms that ensure divisibility by 3! and by 8, hence by 24.

Learn to determine the highest power of a prime in factorials using two methods: sum of n/p^k and repeated division by p, with exam-level practice on 25 factorial.

Learn how to determine the highest power of a linear composite like 15 in factorials by analyzing prime exponents and using a shortcut that relies on the largest prime base.

Explore highest power in n! through factoring 24 into primes, counting 2s and 3s in 100!, and determining the greatest power of 24 present for a practice question.

Discover how to determine the highest power of four in expressions like 102! + 103!, using common factors and powers of two to simplify factorials.

Learn to find the highest power of two in the non factorial product 2×4×6×…×200 by factoring out twos to 2^100·100!, then compute 100!'s 2-adic valuation, yielding exponent 197.

Identify the highest power of five in 100 factorial, showing that 100! has five to the power of 24 and that 2^100 · 100! contains the same power.

Convert non factorial problems to factorial form, then find the highest powers of two and five and trailing zeros. Illustrates using 50 factorial as a practical example.

Discover how to find the highest power of two in the sum of factorial terms from 10! through 150!, using factoring and parity analysis to identify even and odd contributions.

Convert the product 81 through 100 to factorial form and extract twos and threes. Determine the highest power of 18, which equals 18^6.

Explore how trailing zeros in n factorial arise from pairing twos and fives, count fives across ranges, and determine zeros in n!, with practical examples.

Compute trailing zeros in the sum 2+4+6+...+200 by treating it as an arithmetic progression and using the sum formula. There are 100 terms, and the sum ends with two zeros.

Determine trailing zeros in the product of the arithmetic progression 2,5,8,...,35 by counting fives and twos, concluding three zeros.

Compute the trailing zeros of n = 120! + 150! by factoring out 120!, examine 121 through 150, and determine the limiting power of five to conclude 28 zeros.

This lecture explains geometric progression, defines the nth term as a r^(n-1), and covers the sum of n terms and infinite series, with r-based cases (increasing, decreasing, constant).

Compute trailing zeros in n! by summing floor(n/5) + floor(n/25) + floor(n/125) + ..., show this forms a geometric progression with ratio 1/5 and relate it to the infinite sum.

Explain the trailing zeros concept for n factorial, show that n > 4m, and that 55!, 56!, 57!, 58!, and 59! end with 13 zeros, yielding five such factorials.

Determine the maximum n such that n! ends with 31 zeros, using factors of five, and note that 125! through 129! have 31 zeros while 130! has 32.

Apply the relation between n and trailing zeros in n!, using pattern and counting fives to show no factorial has exactly twenty-three zeros.

Count the trailing zeros of n = 1^100 2^99 3^98 100^1 by powers of 2 and 5, show 2s exceed 5s, and sum fives to get 1124.

Explore trailing zeros by analyzing end zeros in powers of ten from 10^1 to 10^100, and conclude there is a single trailing zero.

Learn core percentage concepts, including what percentage means, ratio and fraction relationships, percentage change, successive percentages, and converting among ratio, fraction, and percentage, with practical methods and practice problems.

explore the ratio and fraction concepts through the total method, converting ratios into counts by multiplying fractions by the total, with examples using 440 students and the 4:7 boy-girl ratio.

Calculate ratio problems with a given difference by using a common multiplying factor. Scale the boys, girls, and total from 4:7 to meet the difference of 3, e.g., 180.

Apply a practical trick to convert fractions to percentages using repeating-decimal patterns like 11.11% from 1/9 and 9.09% from 1/11, and use numerator differences for quick results.

Learn to solve percentage comparison problems by using difference over base and fractional forms like 4/11 and 2/9, with steps for be taller or shorter.

Solve a two-step percentage problem where a number is first decreased by x% and then increased by 28.57% to return to its value, using the 2/7 trick and vedic maths.

Learn to convert ratios to fractions and then to percentages using step-by-step methods. Apply examples such as 1/7 and 2:7:5 to compute percentage values.

Explore how change and change percentage relate to simple interest, linking principal, time, rate, and final value through the formula I = PRT/100.

Learn to formulate successive percentage using the A plus B plus AB over 100 method and the chain of multipliers (1+r1)(1+r2)…(1+rn) with a practical manufacturing example.

Apply the successive percentage change formula to compute the overall change when one value is a -15% loss and the other is a +20% profit, yielding 2%.

Apply the successive percentage formula to a nested loan problem, solving for x ≈ 9.09% to achieve 20% overall, yielding an effective rate of 19.09%.

Derive the second formula of successive percentage by equating final areas under length and breadth changes, expressing final area as initial area times (1±a/100)(1±b/100).

Extend the second formula of successive percentage to the final value upon initial value, deriving the ratio as (1 ± r1/100)(1 ± r2/100) and linking it to compound interest.

Formulates the compound interest expression from successive percentages, linking initial principal to final amount through the product of (1+R/100) factors, including the equal-rate special case.

Explore methods for successive percentage problems—the trick method, the a+b+ab/100 approach, and the one-plus-small method—and solve a case where a number decreases by x% then rises by 8.57% to -18.18%.

Learn successive percentage methods—a plus b plus ab and fraction form—using a 25% price rise and 25% consumption drop to show a 6.25% expenditure decrease.

Learn a four-step approach to successive percentage questions, including choosing a base integer, counting successive percentages, and applying the a plus b formula to a square area example of 27.69%.

Learn to handle more than two consecutive percentage changes using the A+B+AB/100 method and the fractional method in a volume change example.

Apply the fractional form method for successive percentage changes, using values like 25%, 60%, and 20% to solve for x, and identify redundant ratios in the calculation.

Solve successive percentage problems by integrating percentages, algebra, and mensuration to derive the new length and width ratios when area and perimeter change, using quadratic equation concepts.

Learn how to handle successive percentage changes with a fixed value change, using a basic method and a very good method through price, consumption, and expenditure examples.

Discover solving percentage change verbally: a 40% price drop buys 20 more oranges, revealing original 30 and new 50 oranges.

This lecture revises percentages through successive questions, showing how fractional forms like 1/5 and 4/9 reveal increases and decreases, and how to solve for x to yield a 63.63% rise.

Reinforce concepts by solving a revision question on how a rectangle's area increase of 12.36% affects its perimeter, showing that the change cannot be determined directly from two successive percentages.

Explore arithmetic, ratios, and proportion within the quantitative aptitude module. Learn what a ratio is and how multiplying or dividing all parts preserves the proportion.

Learn how continued ratios relate in ratio and proportion, apply two solving methods, including lcm-based alignment, and note limitations with a preview of the next video.

Master the single line method to solve ratio questions by multiplying the first parts and the last parts to align a, b, and c, enabling quick verbal solutions.

Apply the continued ratio concept using the one-line method to find p:q:r from p:q=9:11 and q:r=13:50, by multiplying outer terms and deducing the middle term.

discover how to simplify continued ratios and fractional ratios by using the least common multiple of denominators, multiplying all parts equally to obtain whole-number ratios.

Master solving fractional ratio questions using the LCM method, converting to manageable integers, and recognizing when ignoring denominators works; includes worked examples of ratios like 2/5, 3/2, and 1/4.

Set 2a = 3b = 5c = k to get a:b:c = k/2 : k/3 : k/5, and apply the integer shortcut by multiplying the other two coefficients.

Solve an age-based word problem by equating two times the youngest, three times the middle, and five times the eldest to derive 15:10:6 ratio and allocate 93 crore as 45:30:18.

Apply the age-based question concept using a number line with today as zero. Move right for years hence and left for years ago; return to today after each full stop.

Learn to solve age-based problems with a 48 total and Bill–Chetan 7:4 ratio, where Akhil is four years older than Chetan; lecture compares a streamlined method and a variables approach.

Explore age-based questions using the ago concept, age ratios, and percentage reasoning, solving for x and Parker's age after nine years.

Learn the ratio concept by rewriting any ratio x:y as 1:A or B:1, apply cross-multiplication to a two-part stick problem, and solve the quadratic x^2+x-1=0 to find x=(√5−1)/2.

Explore ratio, percentage, and average concepts to deduce individual marks and the total from a 6:5 ratio and a 275 sum.

Solve salary-based ratio problems by applying cross multiplication and parts logic when a fixed amount is added, determining initial salaries.

Learn to solve salary expenditure and saving problems using ratios, comparing two incomes A and B, with expenditures, savings, and the one-third saving condition.

Apply a one-variable approach to income and expenditure ratios, deriving savings and expenditures from 5x and 4x, and use the 3:2 expenditure ratio to compare.

Learn to solve salary expenditure saving problems using a no-variable ratio method, ensuring integer results by scaling incomes and applying the income equals expenditure plus saving relation.

Explore how to distribute apples among boys by setting up equations A/B and solving for A and B, then verify with cross-multiplication.

Explore distribution problems using a single variable to solve apples distributed among boys, handling scenarios of eight more apples and two fewer, and contrast with two-variable methods.

Using a single variable, the lecture shows how to compute total and average marks from a five-subject ratio 10:9:8:7:6, determine passing marks, and count passed subjects.

Use arithmetic progression to solve a distribution based marks problem, with the middle term as the average and no variables, then deduce four subjects from the 50% passing threshold.

Compare the highest powers in numerator and denominator to decide if a degree-based problem yields a constant or cannot be determined, using substitution examples.

analyze a degree-based problem on degree and power concepts with a cubic expression, use cross-multiplication to relate x and y, deduce x^3 equals y^3, and conclude the answer is two.

The lecture demonstrates solving a three-variable simultaneous equation using elimination and ratio methods, showing that x = 2z and y = z, yielding x:y:z = 2:1:1.

Solve a ratio problem by adding value k to a and b so that (a+k)/(b+k) equals x/y; derive k = (bx − ay)/(y − x) and note errors.

Explore proper and improper fractions and their properties, and examine how adding a constant to both numerator and denominator affects the value in fractions and ratios, linking to proportion.

Define the concept of proportion and illustrate it with ratio examples, showing when ratios are in proportion and when they are not, using boys, girls, and patties.

Explore how to solve two-value proportion problems by treating the mean proportion as the second and applying the equality of products, illustrated with first, second, and third proportions.

Explore the formula of proportion across multiple ratios, showing that equal ratios remain in proportion when combining numerators and denominators with the same operation.

Explore mixture based ratio questions by learning how different components scale in the same ratio, connect ratios to averages, and apply allegation within broader percentages and variation concepts.

Introduce the concept of mixtures and ratio, guiding students to equalize quantities and apply the allegation method or averages to determine the final water-to-milk ratio.

Master mixtures by using ratios, equalizing totals, and converting to the target ratio. Compare two-step and single-step approaches, apply water and milk examples, and perform cross-checks with the lcm.

Learn to solve mixture questions by applying ratio concepts to two vessels of water and milk, equalizing totals with the LCM, then verify the final 10:7 ratio via cross-check.

Solve mixture problems with wine and water by using non-coprime ratios and lcm to align totals, then find the wine percentage in a 3:5 mix (57.5%).

Learn the difference between simple average and weighted average, and apply the allegation concept using frequency counts and the formula n1*a1 + n2*a2... over total frequency to compute weighted averages.

Link weighted average to alligation by showing how to mix two prices to reach a target average, with the average between min and max using a subtractive formula.

Link the weighted average formula to alligation for mixtures, deriving the ratio n2/n1 = (a1 − a)/(a − a2) and using this proof to solve alligation questions.

Apply the alligation method to mix wine and water from ratios 3:2 and 7:3 to obtain a 17:8 mixture, using weighted average and a base to normalize totals.

Apply the alligation method to water-base mixtures, using a common denominator and subtraction, with the lcm deriving the 1:4 ratio for the target mixture.

Learn to solve milk and water mixtures using the alligation method, compare it with the ratio method, and apply a base assumption to obtain the 13:12 final mix.

Explore efficient mixture problems using alligation, and solve using fraction or percentage methods to determine milk and water composition; apply base value, aggregation, and elimination techniques for quick, exam-ready answers.

Explore solving mixtures problems using alligation, weighted average, and elimination; compare aggregation and mixtures methods with a 71% vs 63% milk example, and learn which approach to follow.

The lecture demonstrates solving a rice mix problem with alligation, averages, and profit and loss concepts, calculating cost price and selling price to gain 12.5% at 180 per kg.

Apply alligation to a profit and loss mix: 55 articles yield 44 at 15% profit and 11 at 10% loss, for a 10% overall gain, illustrating CP concepts.

Explore alligation distribution method two and why you cannot use six and eleven directly; see how the average nine guides allocation and why this method isn’t ideal for integers.

Apply the alligation method to balance mixture problems using allocation. In a 35-liter mix, obtain a 4:1 ratio by taking 11 liters from the first and 24 from the second.

Solve mixture base problems by comparing fox and cat speeds with constant time, use speed ratios, reverse distance relations through leaps, and practice direct methods.

Apply the one line basic method to compare fox and cat speeds by equalizing distance per leap using the lcm, then compute relative speeds and practice with similar questions.

Explore income–expenditure ratios in a type two scenario with unequal income and expenditure ratios, and see why one person saves more across the examples.

Master ratios, percentages, and proportions, and link them to variation and averages, including simple and weighted averages and aggregation. Practice exam level questions to reinforce understanding.

Solve a distribution based exam level problem with five subjects of equal max marks, using ratios 5,4,6,9,8 and a 63.5% aggregate to find how many subjects exceed 43.5%.

Explore distribution based and ratio methods to compute the five-subject aggregate with equal maximum marks, using the 63.5% example and a practical approximation to count subjects above a computed value.

Solve a coin ratio problem by converting all values to the same unit, applying the basic method, and determining coin counts from a 1:3:5 ratio to match ₹135.

Analyze the ratio of a two-digit base-ten number to its reverse, yielding b = 2a for valid digits. Identify such numbers 12, 24, 36, 48 and sum to 120.

Solve a previous year ratio problem on class a and class b with ratios 2:3, 4:5, and total 3:4; derive x = y and compare the girls.

Explore an exam level volume ratio problem with five identical milk glasses in ratios 3, 4, 5, 6, and 7, and determine how many are at least half full.

Solve CAT 2020 question 1 on continued ratio with three participants, using 3:2 and 4:5 to set up shares, apply a 400-rupee difference, and determine Sunil's share as 800 rupees.

Solves a CAT 2019 ratio and proportion question about three salaries from 2010 to 2015, with Ramesh up 25%, leading to Rajesh’s percentage increase closest to 7%.

Apply ratio and proportion to a three-investor fixed deposits problem using simple interest, solve for x and y from the 250 difference, and compute the total annual interest of 7250.

Apply ratio and proportion techniques by modeling scores as 11x and 14x, adding a common amount k, and using cross-multiplication to derive the relation; the new-to-original score ratio is 4:3.

In this cat 2019 question, Rajju and Lalita start with marbles in 4:9; after Lalita transfers k, the ratio becomes 5:6, giving k=21x/11 and the fraction given is 7/33.

Outline the three pillars of lrt for cat data interpretation: data interpretation, reasoning, and reasoning-based data interpretation, focusing on ratios, averages, and percentages.

Develop rapid data interpretation by mastering approximation and simplification, leveraging mental calculation over the on-screen calculator, and using perfect squares, cubes, and digital sum for speed.

Discover data interpretation prerequisites and approach, including change and change percentage, initial and final values, and the distinction between percentage change and percentage point change with examples.

Learn to interpret data interpretation questions by converting ratios to fractions and percentages, understanding yield, production, and productivity, and decoding run rate in cricket contexts.

Explore data interpretation through bar graphs, including single and multiple bar graphs. Preview stacked and equally stacked bar graphs with axis concepts.

Learn to convert expenditures into percentage form and then into angles to build a pie chart, using food, rent, saving, and investment with a total of 30,000.

Learn to interpret data in tables by converting rows and columns, calculating totals and differences, and applying averages, ratios, and percentages for data interpretation questions.

Explore input output, including number series, letter series, and alphanumeric series, and practice coding decoding to decipher sequences. Build foundational reasoning for Cat and other competitive exams.

Explore syllogism and deduction making as the foundation of critical reasoning, distinguishing universal and particular, positive and negative statements, including either/or and neither-nor logic to determine conclusions.

Master critical reasoning foundations, including statements and assumptions, inferences, strong and weak arguments, strengthening and weakening techniques, and core concepts like assertion, reasons, cause and effect, and logical flaws.

Master direction sense by mapping the eight directions and applying clockwise and anticlockwise rotations at 45-degree steps to solve directional problems.

Explore binary logic and comparison puzzles, including truth-teller, liar, and alternator scenarios, and rank and subject puzzles essential for CAT prep.

Learn matrix arrangement concepts with rows and columns, solving with given and missing values, including number-based questions and a lock puzzle with days of unlocking.

Explore clocks and calendars through time, speed and distance, and relative speed on circular tracks, using the three clock hands as runners to master angles, coincidences, and mirror-image tricks.

Explore the puzzles concept and sharpen reasoning for the CAT LD section by practicing from George Sommer's Book of Puzzles and Shakuntala Devi's Indian puzzle book, enabling fast, calculation-intensive solutions.

Transform verbal ability and reading comprehension with a skill-oriented, functional concept that moves from concept delivery through practice, testing, remedial sessions, and retesting for exam readiness.

Explore verbal ability and reading comprehension basics, including vocabulary and functional grammar, linked to paragraph and passage construction. Learn cat-style varc question patterns like para completion, rearrangement, odd-one-out, and inference.

Explore how CAT's verbal ability and reading comprehension evolved, identify the two subsections, and master question types such as inference, tone, and central idea for exam success.

Explores verbal ability for CAT, detailing question varieties such as paraphrase, para compression, para summary, and para jumble, and key skills like reading speed, comprehension, vocabulary usage, and critical reasoning.

Adopt a holistic, skill-based approach for CAT verbal ability and reading comprehension, recognizing higher, varied difficulty from language complexity, long sentences, and unfamiliar texts, and plan from base to target.

Explore the pattern and weightage of verbal ability and reading comprehension in CAT, define core VRC components, and build a foundation for preparation with reliable resources and a tailored strategy.

Analyze cat pattern insights by noting the question count, the role of accuracy over answered items, and a gradual target-based strategy to maximize percentile in verbal ability and reading comprehension.

Build a lifelong reading habit to boost reading comprehension and verbal ability. Increase text difficulty gradually, moving from comfortable material to richer vocabulary to sustain engagement.

Prioritize purposeful reading across varied domains rather than pleasure reading to gain knowledge and improve reading skills, building a daily, goal-driven reading habit with mindful outcomes.

Build a daily glossary from your reading, noting contextual meanings, synonyms, and antonyms, then apply usage with Google examples, using magazines, editorials, and long-form essays.

Analyze CAT 2021 verbal ability and reading comprehension through a diagnostic start, gap analysis, and previous year question patterns to guide effective prep.

Review the CAT 2020 analysis to identify verbal ability and reading comprehension patterns, note pandemic-driven changes in duration and question counts, and guide focused preparation for 2019 to 2021 trends.

Analyze CAT 2019’s last pre-covid paper to understand verbal ability and reading comprehension patterns, question types, timing, and how to target an 85 percentile.

Solve the three-year papers before PYQ discussions to gauge your knowledge, then set a strict time limit and evaluate your answers with the mentor's explanations.

Master CAT 2021 slot 1 reading comprehension by analyzing utopian and dystopian passages, identifying question types, and applying efficient passage-reading strategies for better accuracy.

Analyze how the passage uses the iPhone example and incense burner to explore personhood beyond humans, including bodily needs and social participation in classical Maya.

Develop cat 2021 slot 1 overview on consumption versus virtue, sustainability of foods, and tea as a social ritual, using 'least likely to support' and 'except' eliminations.

Learn practical strategies for cat entrance exam reading comprehension: identify 'except' and inference items, capture passage gist with signpost words, and distinguish direct versus inferred statements for accurate answers.

Develop active reading by noting signpost words, then apply this approach to distinguish utopian and dystopian features, including equality, regulated passions, and the City of the Sun.

Develop the skill to extract meaningful information from reading by identifying key words and their sequence, as seen in utopia, homogeneity, and intentional communities.

Learn to solve inference-based questions by reading between the lines to uncover indirect information and the passage's core theme, including utopian and dystopian societies.

Examine the Maya view of personhood, defining what makes a human or person through bodily needs and social participation, and when objects might be regarded as persons.

Decode the incense burner example to grasp non-binary personhood, as a third category links tree and object in the CAT 2021 slot 1 RC passage.

Analyze how the classic Mayan worldview defines personhood as anything that solves a need and fulfills social obligations, and identify options that undermine its democratizing potential.

Examine what makes a morality product unique, referencing Rappaport, and discuss how social interaction and universal appeal influence its reception. Learn how to identify signposts in solving comprehension questions.

Master inference questions by analyzing passages about cuttlefish and the marshmallow experiment, learning how self-control relates to intelligence and sociability, and identifying distractors in reading comprehension.

Learn parsing, the core skill of English that lets you identify a word's part of speech and its function, boosting vocabulary, usage, and performance on verbal and passage-based questions.

Explore adverbs and their role in modifying verbs and adjectives, and examine polysemy in word usage. Use examples like very and fast to illustrate adverbs' functions.

Explore how conjunctions guide idea flow and how phrases form when words combine into a single term, then identify clauses as parts of sentences with their own subject and verb.

Trace how words build phrases, clauses, and sentences, then form paragraphs and passages, and learn how phrases align with parts of speech, including phrasal verbs and adjective phrases.

Explore the three sentence types: simple sentences with one clause and a phrase; complex sentences with interdependent clauses; and compound sentences with independent clauses, using example 'he went to bed'.

Explore how a single idea is expressed as simple, compound, and complex sentences, with adjective phrases and descriptive clauses, to improve paragraph and passage framing for the CAT exam.

Explore how vocabulary questions test word power, usage, and grammar for coherence. Identify patterns with antonyms and synonyms, and distinguish common from uncommon words and different difficulty levels.

Master vocabulary question varieties for cat mba entrance prep, including fill-in-the-blank, odd-one-out, tabular formats, analogy, and diction, and learn how to frame and answer these questions.