NEW GRE 46 Hours Quant Prep | Target NEW GRE 335+

Identify prime numbers as having only two factors, one and itself, and identify composite numbers as having more than two factors, using six and five as examples.

Learn to perform prime factorization by expressing numbers as a product of prime factors, using 12 and 980 as examples, and apply divisibility rules to factor efficiently.

Explore how variables serve as placeholders, convert word problems to equations, and solve examples like X/2 = X/3 + 5 and cost equations for rice and wheat.

Learn to determine if a number is prime by checking divisibility using factors in pairs, testing primes up to the next square, and noting primes are of the form 6k±1.

Practice prime factorization by factoring 288 and 512, extracting twos and threes, and expressing results as prime powers such as 2^5·3^2 and 2^9, with divisibility rules guiding steps.

Explore the highest common factor (HCF) or greatest common divisor (GCD) and learn methods to compute it, including listing factors and prime factorization, demonstrated with 12 and 16.

Learn how to find the lowest common multiple of two numbers, using listing multiples and prime factorization, demonstrated with 12 and 18 to obtain 36.

Practice finding SCAF and Elsom for 28, 42, 70 to obtain 14 as HCF and 420 as Elsom; compare with 25, 15, 21 yielding HCF 1 and 525.

Solve a gcd-based packing problem by dividing 120, 180, and 240 liters into equal bins, using the greatest common divisor to find 60 liters as the maximum capacity.

Compute the least common multiple of 12, 15, and 21 to buy equal numbers of biscuits from brands A, B, and C, yielding 35, 28, and 20 packets respectively.

Learn to compute the HCF and LCM of fractions using gcd of numerators and lcm of denominators, and lcm of numerators divided by gcd of denominators, with fractions kept simplified.

Explore proper, improper, mixed, and equivalent fractions, and learn to convert between them using simple division and multiplication, with examples like 2/3 and 14/5.

Learn to add and subtract fractions by converting to equal denominators using the least common multiple. Practice with examples and keep the same denominator while combining numerators.

Learn to compare fractions by turning them into like fractions with a common denominator, then compare numerators, as shown by converting 3/4 and 5/6 to 9/12 and 10/12.

Learn to multiply fractions by combining numerators and denominators, and convert division to multiplication by the reciprocal, as in 2/5 ÷ 3/7 = 14/15.

Master the expanded form of a decimal by multiplying each digit by its place value, from hundreds and tens to ones and tenths, hundredths, and thousandths.

Explore how to add and subtract decimals by aligning decimal points, adding trailing zeros, and carrying, with examples like 9.64 + 12.7 and 7.63 - 2.47, and respect subtraction order.

Multiply decimals by treating them as integers, then shift the decimal point by the total number of decimal places to obtain the correct result.

Divide decimals by clearing them with a power of ten, multiplying the numerator and denominator by the same number to convert to normal division, as in 33.725 divided by 0.25.

Classify numbers from natural and whole numbers through integers and rational numbers to irrational numbers, and recognize that rationals and irrationals together form the real numbers.

Identify rational versus irrational numbers by decimal expansions. Rational numbers have terminating or recurring decimals; irrational numbers have nonterminating nonrecurring decimals, illustrated by 3/4, 1/3, root two, and pi.

Convert a terminating decimal to a fraction p/q by scaling the decimal to remove the point, then simplify; the lecture uses examples like 4.7285 and 3.72 to illustrate.

Learn to express non terminating recurring decimals as rational numbers in p/q form using x-substitution, multiplication, and subtraction, with examples like 0.333... and 0.345, and discover a shortcut.

Learn a shortcut to convert non terminating recurring decimals to P/Q form by using the repeating block with nines in the denominator and subtracting the non repeating part.

Explore how irrational numbers like pi have non terminating non recurring decimals, and how some operations with irrationals can yield rational results, such as zero, two, or one.

Apply the BODMAS/PEMDAS rule to properly order operations, from brackets and exponents to division, multiplication, addition, and subtraction, using left-to-right when needed. Ensure worldwide consistency in answers.

Explore the four types of brackets and learn to open the inner brackets first, match every opening with its closing partner, and use color coding to read nested expressions clearly.

Explore the laws of exponents, including base and exponent concepts, adding and subtracting exponents with the same base, multiplying and dividing rules, and zero and negative exponents.

Explore the laws of exponents for real numbers, including negative exponents, and simplify expressions by combining bases and converting negatives to reciprocals with practical examples.

Learn how rational powers convert to roots and apply exponent rules to simplify expressions like 32^(1/5) to 2 and 4^(5/2) to 32.

Practice problems cover rational powers, showing how to simplify with the same base by adding or subtracting exponents, use negative exponents as reciprocals, and combine products like 19^(1/7)*11^(2/7) into (19*11^2)^(1/7).

Summarizes even and odd numbers, their properties, and operations: even+even and odd+odd give even; odd+even gives odd; even-even, even-odd, and odd-odd results; multiplication rules; decimals and zero notes.

Master the basics of linear equations by identifying the equation and equality sign, balancing both sides, solving for x, and applying transposing rules with examples like 2x=20 and 3x-15=20.

Learn how to handle fractions in equations by setting x for the number, forming x/2 = x/3 + 5, and solving with a common denominator to get x = 30.

Explore the distributive property, expand brackets, and apply distribution to equations, then solve using cross multiplication across practice problems 1-3.

Explore solving linear equations with two and three variables using elimination, illustrated by a two-bedroom and three-bedroom flats problem (40 and 60) and a three-variable apples, oranges, and watermelons example.

practice solving gre quantitative problems across algebra and word problems, including linear equations, age problems, and cost and distance models, with step-by-step approaches.

Solve two-variable systems to identify no solution, a unique solution, or infinite solutions, using ratios a1/a2 = b1/b2 ≠ c1/c2, or a1/a2 ≠ b1/b2, or a1/a2 = b1/b2 = c1/c2.

Explore key algebraic identities, including (a+b)^2, (a-b)^2, (a+b)^3, and (a-b)^3, with expansions, coefficient patterns from Pascal's triangle, and geometric interpretations of a^2, b^2, and a^2-b^2.

Master qc questions by understanding their structure, applying algebra and number-plugging strategies, and using operations on quantities to compare two values quickly and accurately.

Master basic quant comparison strategies through practical approaches like simplifying expressions, plugging in numbers, cross-multiplication, and using prime factorization to compare quantities.

Master algebra basics by solving linear equations and comparing quantities, using substitution and plugging-in numbers to determine x and y in various word problems.

Solve a qc practice problem by using 23O+21A=130, find the unique whole-number solution O=2, A=4, and conclude apples exceed oranges.

Explore solving 0.15a + 0.29b = 4.40 with chocolates of $0.15 and $0.29, concluding a and b equal to 10 through unit-digit reasoning.

Learn the basics of percentages, including percent meaning per hundred and the unitary method. Practice computing what percentage of a value is another and converting fractions to percentages.

Learn how to compute absolute and percentage change using the initial amount as the denominator, illustrated by Mr. Han's move from 250 to 750.

Learn how to calculate the percentage point change and the percentage change using pass marks rising from 40% to 50%, with a 10-point and 25% change.

Master increasing or decreasing numbers by a given percentage using multipliers, with practical examples such as 20 by 25% and 82 by 60%.

Solve a GRE quantitative practice problem by setting up the total score equation, find Amy's score as 75, then calculate that Amy is 11.8% lower than Andy's 85.

Learn constant product problems, keeping expenditure constant as price and consumption move inversely, shown with a 20% price rise requiring a 16.67% consumption drop.

Convert fractions to percentages and memorize key equivalents such as 1/2=50%, 1/3=33.33%, and 2/7=28.56%, then use reciprocal relationships to speed up multiplication.

Learn how a 12.5% price increase prompts a 1/9 reduction in monthly travel from 180 to 160 km, using a mileage of 15 km per liter to keep costs constant.

solve a gre practice problem about a rectangle where increasing the length by 20 percent requires reducing the breadth by 16.67 percent to keep the area constant.

Master income comparison problems by applying a fast rule: if income increases by a fraction a, the corresponding decrease is 1/(a+1), as shown in a 20 percent example.

This lecture presents two methods to solve a salary percent problem: a shortcut using 30 percent and a logical approach, yielding a 23 percent decrease from the higher salary.

Practice problem 2 analyzes two consecutive salary hikes totaling 32% to 132, with the second hike half of the first; the solution shows option-based and A+B+AB/100 methods.

Navigate a quant prep practice question comparing engineering and German students using 5% and 12% percentages, concluding that engineering students outnumber German students.

Practice a quantitative reasoning percent problem: Alpha starts at 40% of total gadgets, grows 25% to 44, total becomes 104, and Alpha's share is about 42%.

Practice qc problem explores tipping based on the 10th digit of a bill between 40 and 49. It compares 16/(40+x) to 0.2 to show the tip percentage exceeds 20%.

Compare three items: a $100 priciest, a $50 second, and a third between $0 and $50. Quantity A lies between 25% and 26.6%, so its relation to 25.5% is indeterminate.

The average, or arithmetic mean, is the sum divided by count, and for consecutive numbers it's the middle value (odd) or midpoint (even).

This lecture explains the two most important types of average-based GRE quant questions, using football match minutes to illustrate quick, logical strategies and contrast with the conventional total method.

Apply a quick visual method to GRE quant problems: compare 30 games at 50 minutes with 35 games at 55 minutes to find the last five games' total, 425.

Analyze a gre quant problem where a 91-point game changes a 55-point average; new average is 55 plus 36 over x+1, so x+1 divides 36, yielding primes 59 or 61.

Walks through a GRE practice problem: with 29 students at an average of 65 and a new student with 8, the new average becomes 65.5.

Solve the age problem by using the average concept with 39 students and a total of 40 people at 15.5. Compare conventional and shortcut methods to find teacher is 35.

Explore solving a 20-employee age problem by tracking the 26 to 25 average drop, revealing the quitter's age as 45, with both conventional and shortcut approaches.

Solve a GRE data interpretation challenge: determine the maximum number of players scoring at least eight goals among 16 with an average of six, min two and max ten.

Practice GRE quant: determine the weight of a member who moved away after two left and two joined, while the average remains 58 kg (from 60 kg).

Explore average-age problems by showing how a group's mean age changes after ten years, and why births affect past age calculations, with total age equal to people times the average.

Determine the current and five-years-ago average ages of four siblings; with youngest 4 and 5 and current average 12, five-years-ago average is 9 2/3 and after six years is 18.

Practice problem 2 guides you through a multi-step age-average puzzle with eight household members, deaths at 70, births, and computing the current average to identify the correct option.

Compute the average speed by dividing the total distance by the total time, as the round trip from A to B at 40 and back at 50 km/h shows.

Compute the average speed for a trip where one-fifth of the distance travels at 2 km/h and the rest at 3 km/h, using total distance over total time.

Learn to compute the average of the first N natural numbers using (N+1)/2. Apply the method to 100 and 999 numbers and find their difference to see a practical shortcut.

Learn how to compute a combined average using weighted averages with practical class and exam examples, showing how weights convert to multiple papers and weighted scores.

Calculate the combined average age of two divisions by weighting each division's average by its student count and dividing by the total students.

Explore mixtures and alligation, using the reverse of weighted average to derive ratios from given averages and a combined average, illustrated by an example of boys and girls.

Solve three essential questions on profit and loss, mixtures, and percentages using ratios and proportions; apply milk-and-water and simple-interest methods to find precise allocations.

Analyze a 120-employee workforce where females rise by half and males fall to three quarters, keeping total staff and the overall average at 22, yielding the male average of 31.

Apply weighted averages and employee-number ratios in a three-company age problem to compute the average age of B and C.

Develop problem-solving for GRE quant by adjusting a 90 litres milk mixture from 85% milk to 95% using replacement or addition of pure milk, illustrated by a 60 litres result.

Explore a shortcut for a mixture problem: start with eight liters, repeatedly remove B liters and replace with B liters of liquid B, derive the fraction after n operations.

Learn to solve GRE mix and ratio problems by evaluating repeated replacements; milk-to-water ratio after three operations is 8:19, and coconut juice after four replacements is about 66%.

Compare the percentages of professors and assistant professors in a college salary model, showing professors constitute one-third and assistant professors two-thirds of the total, so quantity b is greater.

Using the given bonus rates—40% for males, 70% for females—and an overall 50%, solve for the male–female composition, yielding a 2:1 ratio (two-thirds males, one-third females).

Model weekend sales with s shoes and c caps using 40s + 10c = 320, then simplify to 4s + c = 32 and compare s and c.

Video solution for new GRE quantitative prep questions, solving problems on averages, percentages, age and votes, mixtures, speed, time, work, and simple interest with step-by-step reasoning.

Master key statistics topics by exploring median, mode, range, and standard deviation and solving various question types to strengthen your understanding.

Order numbers in ascending or descending order to locate the median. Identify the mode as the most frequent number.

Analyze how the median price of three cars relates to the given average of 30,000, showing that both quantities equal 30,000.

an qc practice problem shows that with a=b and a as the median of a, b, c, the median stays a in all three cases, so the answer is C.

Compute the median of 99 mathematics scores by arranging them in increasing order and identifying the 50th value, which is 60.

Practice problem in qc: compare the mean of the six-element set 8,9,1,4,x,y with x+y=10 to the median of 8,9,1,6,x,y, and conclude the median exceeds the mean, selecting option b.

Determine the median by averaging the 45th and 46th items in a 90-visitor data set about monthly books read.

Resolve a qc practice problem on mode and median using a 27-student chart. Find the mode as 107 cm and the median as the 14th value, so A equals B.

Learn that in an evenly spaced set, the mean equals the median, and compute the mean by (first plus last) divided by two, illustrated with odd and even term examples.

Maximize the largest element in a five-number set with mean and median 75 by using e=4a+3 and minimizing other values, giving a=37 and e=151.

Compare the medians of two evenly spaced sets, x with three consecutive integers and y with five, under 3a = 5b, yielding no definite conclusion.

Arrange the numbers of set A in increasing order and identify the middle value to find the median, then eliminate impossible options to confirm eight as the median.

Solve a three sneaker price problem by arranging A, B, C in increasing order and using mean 650; with C = 1.5 B, the most expensive sneaker > 800.

Identify the minimum possible greatest number among eight numbers with an average of 25 and a median of 16 by maximizing the other values; the result is 40.

Explore how modes can be multiple or absent in data sets, illustrated with examples of sets that yield one mode, two modes, or no mode.

Solve a GRE data interpretation problem by determining the possible values of y in a 3493483y data set where y is the unique mode, and identify why only 'one' fits.

Define the range as the difference between a data set's highest and lowest values, illustrating how higher ranges indicate greater spread and zero range means all values are equal.

Determine the greatest number in a 17-item set with median 20 and range 22 by placing eight values just below 20 (down to 12), giving a maximum of 34.

Explore a practice GRE problem about 50 consecutive integers with a negative range of 30; determine the average of the positive numbers (1–18) as 9.5.

Solve a practice GRE quant problem about seven test scores that examines how raising the lowest and highest marks by two affects range, median, and mean. Observe that the range changes from 11 to 12, the median stays at 8, and the mean increases.

practice a GRE quant problem with a five-element consecutive set u, v, w, x, y, evaluating range, mean, and median to identify the not-true statement among A–E.

Introduce standard deviation, denoted as sd or sigma, and the formula sqrt(sum (x - xbar)^2 / n) with a 1–5 example. Show how values vary from the mean.

Explore variance as the square of the standard deviation and compare it to the range, then learn how adding, subtracting, multiplying, or dividing data affects the standard deviation.

Analyze standard deviation for odd integers 3 to 99: subtracting 33 keeps sd, multiplying by 3.2 scales sd, dividing by 5 scales to σ/5, yielding S < Q < R.

apply the transform y = m x + c; the standard deviation of y is |m| times the standard deviation of x, since adding c does not affect dispersion.

Explore why standard deviation is always positive and zero only if all values are equal, and how adding a mean-valued element affects X and Y when their means are equal.

Analyze a select-all practice problem involving modular equations, the median of an odd set of consecutive integers, and even/odd reasoning to determine which statements must be true.

Explore a numerical entry problem where eight containers experience a 25% pressure reduction, showing how standard deviation scales by the same factor from 20 psi to 15 psi.

Explore the normal distribution and its bell-shaped curve, including probability density and the area under the curve. Apply mean, standard deviation, and standard normal concepts for GRE questions.

The lecture solves a 700-student normal distribution problem using 16% above 95 and 2% at or below 75 to find the mean and standard deviation, concluding a > b.

In a normal distribution, the 20th and 40th percentiles are 18 and 30; the 30th percentile exceeds 24, so the correct answer is option b.

Read a dot plot showing marks out of 25, identify the median (Q2) and the quartiles Q1 and Q3, and compute the interquartile range from an eight-point dataset.

Explore how to identify median, lower and upper quartiles (Q1, Q3) and the interquartile range for odd data sets using dot plots, with practical examples.

Analyze a dot plot of 16 wait times to compare the interquartile range with half the data range, computing Q1, Q3, and the median for a GRE quant prep problem.

Analyze a 138-card distribution of values 1–9, locate the median split, determine Q3 as 7, and compute the interquartile range as 4.

Compute the interquartile range by locating the median and the first and third quartiles in a 132-value data set with values from 1 to 8.

Rank the 200 students by height to analyze quartiles, then account for 20 new students. Sam remains tallest in the second quartile; Bob becomes the sixth lowest there.

Explore the box and whisker plot, identifying the box, whiskers, and key statistics such as the minimum, maximum, lower quartile (Q1), median, upper quartile (Q3), and the interquartile range.

Read the box and whisker plot to identify Q1=22, Q3=28 and the interquartile range 6, then apply the median and 120-student data to count those above thresholds.

Explore the different types of charts, including bar charts, line charts, and pie charts, with simple and cumulative/stacked variants, percentage and value bases, scatter plots, and donut charts.

Master data interpretation by examining chart headings, units, axis scaling, and trends, and by practicing careful estimation to answer questions accurately.

Explore the basics of lending concepts, including principal, creditor and debtor roles, and compare simple interest with compound interest and their per annum rates.

Illustrates simple interest and compound interest with a $500 loan at 5% for three years, showing simple interest growing to $575 and compound interest to about $578.8, with step-by-step calculations.

Explain the simple interest formula si = p times t times r / 100, using a 1000 principal at 10% for 3 years, and show aligning time period with rate.

Practice solving a simple interest problem by using the formula, given $8000, 5 years, and $1200 interest; the rate comes out to 3%.

Compute simple interest by aligning time units with the rate, using principal 800, rate 10% per year, for nine months, yielding 60 dollars.

Solve a two-loan simple interest problem: find the annual rate on the $800 loan when $1600 is borrowed for 9 months at double the rate, with total interest $320.

Learn compound interest by treating it as successive percentage changes, apply the amount formula A = P(1 + r/100)^n, and master scenarios like half-yearly and quarterly compounding.

Practice problem demonstrates calculating compound interest on a $1800 principal at 5 percent per annum for two years, yielding 1984.5 total and 184.5 interest.

Practice problem on 10 percent per annum compound interest, compounded semiannually for 18 months yields three half-year periods; compute the amount to pay back, approximately 1158 dollars.

Solve a compound interest problem by testing options to determine the correct annual rate. The example shows 40 percent per annum advancing 2000 to 5488 in three years.

Learn how the difference between compound and simple interest over two years equals interest on the first year's simple interest, with three methods to find the amount.

Compare simple interest and compound interest over two years, applying 15 percent to the principal and its interest, and derive the difference to solve for the principal.

Demonstrate the difference between simple interest and compound interest by solving a GRE-style problem using options, focusing on principal, interest, and 15% calculations.

Practice comparing simple and compound interest on a $1,000 sum over three years, with 20 percent simple and 15 percent compound rates, and find the difference.

Explore depreciation as a decrease in value over time, using a tv example and final value equals initial value times (1 - rate/100)^time to compare with compound interest.

Apply five percent per annum depreciation to a $1000 refrigerator over two years to arrive at $902.50, illustrating a compound-like depreciation calculation.

Treat population change as compound interest, solving a 20% three-year growth to reach 124416, and use the given options to identify the initial population, with option B correct.

Apply a 6 percent net annual increase, from birth rate 10 percent and death rate 4 percent, to 300,000 for two years to obtain 337,080.

Explore the simple annual growth rate (sga) and its link to CAGR. See a bookshop example: initial 1000, final 1200, 20% total growth, 10% per year.

Explore how to compute cagr, using a sales growth example and the formula principal times (1 + r/100)^n, and see how cagr mirrors compound interest, here as 10%.

Calculate the compound annual growth rate (CAGR) from 10 million in 2018 to 17.28 million in 2021 over three years, demonstrating a 20% CAGR via an option-elimination strategy.

Apply the compound interest formula to compare R and 7 using (1+r/100)^2 > 1.14. Show that r=7 yields equality, and r>7 makes the first quantity larger.

Solve a QC practice problem on constant growth: determine the growth rate from 250 to 490 in two years, find the doubling time, and compare it to four.

solve a qc practice problem where microbes multiply by P every q minutes, with cube root of P = 5, to determine whether 2500x growth occurs before four minutes.