GMAT Focus 57Hrs| Quant & Data Insights| GMAT 760 Instructor

prime numbers have only two factors, one and itself, as with five and the smallest prime, two; composite numbers have more than two factors, as with six.

Master prime factorization by writing numbers as products of prime factors and applying divisibility rules, illustrated with 12 and 980, including prime exponents.

Explore how to compute the HCF or GCD of numbers, compare factors, and apply prime factorization and factoring methods with examples like 12 and 16.

Boost your GMAT prep with a practice problem that groups 120, 180, and 240 liters into bins of equal capacity, revealing the greatest common divisor and a 60-liter capacity.

Discover how to find the hcf and lcm of fractions by taking the hcf of numerators and the lcm of denominators, with fractions written in their simplified form.

Learn to compare fractions by finding a common denominator through factoring, turning into like fractions, and comparing numerators to decide that 3/4 is less than 5/6.

Discover how to multiply fractions by multiplying numerators and denominators, for example 7/13 × 3/5 = 21/65, and how to divide by multiplying by the reciprocal to get 14/15.

Explore the expanded form of a decimal by identifying place values around the decimal point, from tenths to thousandths, and multiply each digit by its place value to reconstruct 78.325.

Master adding and subtracting decimals by aligning decimal points, appending zeros, and handling carries to ensure correct results.

Divide decimal numbers by converting to whole-number division: multiply numerator and denominator by the same factor to move decimals, then simplify to the final quotient.

Convert terminating decimals into p/q form by multiplying by a power of ten and simplifying; illustrated with 4.7285 and 3.72 as examples.

Convert non terminating recurring decimals to rational numbers by setting X and solving using multiples of ten; examples include 0.3 repeating and 0.345 with 4–5 repeating.

Explore the four types of brackets and master the rule to open inner brackets first, ensuring correct matching and evaluation of expressions in GMAT quant problems.

Explore the laws of exponents by identifying the base and exponent, adding exponents with the same base, and subtracting in division, while noting a^0 = 1 and 0^0 undefined.

Explore rational powers by converting fractions to roots and using inverse relations with exponents. See that 32^(2/5) equals (32^(1/5))^2 = 4 and 4^(5/2) equals 32.

Apply rational exponent rules to simplify expressions by adding exponents with like bases. Convert negative exponents to reciprocals and combine different bases when exponents have the same denominator.

Explore the basics of linear equations and the idea of a definite solution. See how to balance left and right sides, and solve by transposing, adding, subtracting, multiplying, or dividing.

Solve equations with fractions by making common denominators and transposing terms; the example shows half of a number equals five more than a third, yielding X = 30.

Demonstrate the distributive property in expanding products and applying it to equations, then practice solving linear equations via cross-multiplication and distributive expansion.

Master algebraic identities for GMAT focus, including (a+b)^2, (a−b)^2, (a+b)^3, and (a−b)^3, explore expansions via coefficients and Pascal's triangle, with geometric intuition and memorization tricks.

Discover common data sufficiency traps, avoid assumptions, and apply tricks like recognizing plus or minus values, substitution back, and evaluating whether one or two statements suffice.

Master data-sufficiency techniques for ds questions 1–15 using basic concepts, evaluating single and combined statements on parity, integers, gcd, and lcm.

practice data sufficiency questions in algebra basics to determine when statements alone or in combination yield a unique answer, analyzing integers, identities, and trap scenarios.

Explore the basics of percentages, including percent meaning per hundred and the unitary method. Learn to convert fractions to percentages and compute percentages of numbers with practical examples.

Understand absolute and percentage change with a real-world example: from 250 to 750, the change is 500, a 200% increase, and the denominator is the initial amount.

Explain a GMAT style problem on percentage points and percentage change, using a pass mark example from 40% to 50%, with a 10-point change and a 25% change.

Learn to increase or decrease a number by a percentage. Apply the idea with examples such as 20 increased by 25% and 82 decreased by 60%.

Understand constant product problems, where expenditure equals price times consumption, and see how a 20% price rise lowers consumption by 16.67%.

Learn quick fraction-to-percentage conversions and memorize key reciprocals (1/2 to 1/9) to boost calculation speed, then apply them to multiply large numbers efficiently.

Learn a method for income comparison problems: if one income rises by e percent, the corresponding decrease is e/(1+e) percent. For a 20 percent rise, the decrease is 16.67 percent.

Solve a two-step salary hike where the second increase is half of the first, given a 32 percent rise, by testing options, finding 20% then 10% to reach 132.

Apply quick average reasoning to a GMAT data insights problem: convert the 30-game average and the 35-game average to totals, then determine the minutes in the last five games.

Compute the teacher's age from a class of 39 with an average of 15 that becomes 15.5 when the teacher is included, yielding 35, using both conventional and shortcut methods.

Explore how removing one employee from a 20-person company lowers the average age from 26 to 25, using both conventional and shortcut approaches to find the departing age.

Apply average-based reasoning to maximize the number of players scoring at least eight goals among 16 players with a total of 96 and range 2–10.

Calculate the average age of four siblings, accounting for the youngest's birth, then determine five years ago's average as 9 2/3 and the after six years average as 18.

Learn how to compute the average of the first n natural numbers using the sum formula n(n+1)/2, and compare averages for 100 and 999 terms with practical steps.

Learn to compute a combined average with weighted averages across groups, using 20, 30, and 25 students and their class means, or view as weighted scores.

Compute the combined average age for two classes: 20 students at age 13 and 10 students at age 14, resulting in an overall average of 13.33.

Study mixtures and allegations, the reverse of the weighted average, using a 40/60 example to derive a 2:3 boys-to-girls ratio from a 52 combined average.

This GMAT practice problem analyzes a 120-employee workforce where male-to-female ratios shift and the overall average drops to 22, revealing the male average is 31.

Explore a GMAT data insights problem with three companies; derive employee ratios from age gaps and compute the B and C average as 29.5 via weighted average, then compare methods.

Compute how replacing 60 litres of the 90 litres adulterated milk (85% milk) raises concentration to 95% milk, using ratio reasoning.

Explore a shortcut for a special problem type using a vessel of eight liters, repeatedly removing and replacing B liters with liquid B, and derive the remaining-liquid ratio.

Demonstrates step-by-step GMAT-style problem solving across percentages, averages, ratios, mixtures, and speeds, using concise methods to find totals, rates, and optimal answers.

Explore data sufficiency questions on percentages and averages, testing statement sufficiency to solve GMAT DS problems with practical examples like ratios, tank volumes, and coin tosses.

Learn how to compute the median by ordering numbers and taking the middle value, or averaging middle values for even sets, and identify the mode as the most frequent number.

Solve a median of 99 student scores by arranging the distribution and identifying the 50th value in an odd-sized data set, revealing that the median score is 60 marks.

Determine the median reading per month for 90 visitors by averaging the 45th and 46th values; with 15 books at position 45 and 20 at 46, the median is 17.5.

examine data sufficiency questions about medians in sets t and r, with integers c, d, and variables x, y, and determine when statements alone or together identify the median.

Analyze a GMAT practice problem on averages: with three sneaker prices totaling 1950 and the most expensive costing 1.5 times the median, conclude the top price must exceed 800.

Explore the concept of mode in data sets, including cases with multiple modes and cases with no mode, with examples showing how frequency determines the mode.

Identify the mode via a data sufficiency question using two statements: y^3=512 and y>7. Each statement alone suffices, so the correct answer is option d.

Explore range as the difference between the highest and lowest values, a measure of data spread. Larger ranges indicate greater spread, while zero range means all values are equal.

Examine a data sufficiency problem with ten distinct primes to determine if the product of range and median is odd; statement one alone suffices, statement two alone does not.

This practice problem shows that raising the lowest and highest scores in a seven-value set by two changes the range and the arithmetic mean, but leaves the median unchanged.

Practice problem on properties of a five-element consecutive integer set to analyze how changes to u, v, w, x, y affect range, mean, and median.

Explore standard deviation, denoted sd or sigma, and its formula. See how deviations from the mean measure variability, illustrated by the 1–5 set with sd = sqrt(2).

Explore standard deviation and variance as the square of the standard deviation. Learn adding or subtracting a constant leaves it unchanged; range shows spread, and multiplication or division scales it.

Practice problems on standard deviation, including why negative numbers cannot be standard deviation and when mean stays the same after adding a value. Show which set has greater standard deviation.