General knowledge I need for GMAT prep
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| 598043361 | What is a linear equation? | An equation between two variables that gives a straight line when plotted on a graph. | |
| 598043362 | What is a quadratic equation? | an equation in which the highest power of an unknown quantity is a square. | |
| 598043363 | What is the slope formula for a line going through (p, q) and (r, s)? | The slope of a line going through (p, q) and (r, s) is (s - q) / (r - p). | |
| 598745010 | Inverse equivalence of (a - b)? | - (b - a) | |
| 656177635 | How is basic probability calculated? | # of outcomes / # of possible outcomes | |
| 656177636 | x = sqrt(144), what is x? | 12 or -12 (remember that it can be negative) | |
| 656177637 | What is the Kaplan Method for Critical Reasoning? | 1. Identify question type 2. Untangle the stimulus (paragraph preceding question), read actively and paraphrase 3. Predict the answer 4. Evaluate the choices | |
| 656177638 | What are the steps for Reading Comprehension questions? | 1. Read passage strategically, create Passage Map (incl. Topic, Scope, Purpose) 2. Analyze question stem (the question itelf) 3. Research the relevant text 4. Make a prediction 5. Evaluate the answer choices | |
| 656177639 | How long to read RC passage and construct map? | No more than 4 minutes | |
| 656177640 | In RC, how do you identify and answer a Global question? | Refers to passage as a whole, "main idea", "primary purpose", "appropriate title for passage". Review passage map, topic, scope and purpose. | |
| 656177641 | In RC, how do you identify and answer a Detail question? | "according to the author", "the passage states explicitly", "is mentioned in the passage". Use specific reference in question stem and search the text. | |
| 656177642 | In RC, how do you identify and answer Inference questions? | For specific references, research text. For open-ended use TSP in passage map. | |
| 656177643 | In RC, how do you identify and answer Logic questions? | Research the text and use passage map to find purpose/topic of individual paragraphs. | |
| 656299067 | What is Kaplan method for problem solving?? | 1. Analyze the question 2. State the task 3. Approach strategically 4. Confirm your answer | |
| 656302283 | Simplify x^2 - y^2 = 64 | (x + y)(x - y) = 64 | |
| 656403049 | Describe "Analyze Question" with regard to Problem Solving. | --> Determine type of problem: word problem, algebra, permutations, overlapping sets. --> Simplify if can be done quickly, but don't solve yet. --> Glance at answer choices (can they help with an approach? Help with picking numbers? Use backsolving?) | |
| 656403050 | Re: Problem Solvin: Explain State the Task | KNOW FOR WHAT I AM SOLVING. Don't fall for right answer to wrong question (still wrong). | |
| 656428642 | Re Problem Solving: Explain Approach Strategically. | - Picking numbers - Straightforward Math - if doing complicated caculations, wrong path - Guess Strategically - after 60-90 seconds, guess. | |
| 657698391 | If you encounter a problem with percents in the answer choices and you will use Number Picking, what number should you pick? | 100 | |
| 664288572 | Is the fraction 3/4 odd or even? | Neither. Since it is not a whole number, but rather a partial number, it is neither odd nor even. | |
| 664288573 | Is Zero odd or even? | Even. | |
| 664403003 | What are the six guessing strategies for Problem Solving? | 1. Use Critical Thinking 2. Estimate the Answer 3. Eliminate Numbers Appearing in the Question stem 4. Eliminate the Oddball 5. Eliminate Uncritical Solutions 6. On "Which of the Following" Questions, favor (D) and (E) | |
| 664750701 | In the Quant section, Describe two strategies for "Which of the following" questions. | 60% chance the answer is (D) or (E), so guess those if I've eliminated anything else, but don't have the answer in time. This DOES NOT apply to the Verbal section. | |
| 664750702 | Multiplying numbers: even X even = ? even * odd = ? odd * odd = ? | even x even = even even x odd = even odd x odd = odd | |
| 664750703 | Subtracting odd and even: even - even = ? even - odd = ? odd - odd = ? | even - even = even even - odd = odd odd - odd = even Adding results are the same as subtracting.. | |
| 664750704 | With regard to Data Sufficiency questions, what is 12TEN? | 1 - Only statement 1 is sufficient 2 - Only statement 2 is sufficient T - 1 and 2 must be put Together for sufficiency E - Either alone is sufficient N - Neither separately nor together are statements sufficient Write 12TEN on erase board to aid in eliminating answers and to save time. | |
| 664750705 | What is the Kaplan method for Data Sufficiency? | 1. Analyze the Question stem - What type of question is it (yes/no or Value), simplify if possible (isolate variables), Identify what is needed to answer the question. 2. Evaluate the statements using 12TEN | |
| 665839222 | Rate formula | Rate = Distance / Time | |
| 665839223 | Combined Rates/work formula | Rate = # of tasks / time to complete tasks | |
| 665839224 | What is combined work formula for 2 people? | T = AB/(A+B) Where T is time for both workers to complete task and A and B equal the time needed by each worker to do the job on his or her own. | |
| 665839225 | What is the formula for determine individual work times? When should this formula be used? | 1/total time = 1/A + 1/B + 1/c + .... + 1/N Use this formula when more than two workers work together. | |
| 665839226 | In what situation is it advantageous to backsolve? | When the formula or problem is complicated and no variables are present. Since answers are provided in ascending order, try B and D and eliminate A and E respectively. | |
| 665839227 | What is the formula for simple interest? | (total of principal and interest) = principal x (1 + rt) where 'r' equals the interest rate per time period and t equals the number of time periods. $100 12% APR 3 years - value of investment? total = $100 x (1 + 0.12 x 3) = $100(1.36) = $136 | |
| 665839228 | What is the formula for compound interest? | total of principal and interest) = principal x (1+r)^t $100 12% APR 3 years - value of investment? Total = $100 X (1 + 0.12)^3 = $100(1.12)^3 = ($140.49 - won't have to calculate on GMAT). If pmts are more frequent than annually then divide the annual rate by the number of times per year applied. $100 12% APR 3 years compounded quarterly - value of investment? Total = $100 x (1 + 0.12/4)^(3x4) = $100(1.03)^12 | |
| 665839229 | What is the overlapping sets formula? | Group 1 + Group 2 - Both + Neither = Total | |
| 668474912 | What is the weighted proportion formula? | (Proportion A)(Weight of A) + (Proportion B)(Weight of B) = (Total Proportion)(Total Weight) | |
| 668493212 | When parallel lines are cut by a tranversal, what is equal? | The alternate interior angles formed by those two parallel lines. | |
| 668493213 | Describe how to find the longer side and hypotenuse of a 30-60-90 triangle? What is ratio? | Ratio of the side lengths is 1:sqrt(3):2. Given the shorter side, multiply by sqrt(3) to get the longer side and by 2 to get the hypotenuse. | |
| 669901396 | What is ratio of an isosceles right triangle? | 1:1:sqrt(2) | |
| 669901397 | What are similar triangles? | Triangles whose angles are the same, but areas same or different. Square the ratio of the side lengths to find the area (length of 2 times the corresponding [smaller] triangle has 2^2 or 4 times large of an area. | |
| 669901398 | Name side measurements of commonly used right triangles on the GMAT? | 3,4,5 (and multiples of, e.g., 6,8,10 5,12,13 | |
| 669901399 | What is a regular polygon? | A polygon that has sides of equal length and interior angles of equal measure. | |
| 669901400 | What are 3, 4, 5, and 6-sided polygons called? Which are most important on the GMAT? | Triangle, quadrilateral, pentagon, hexagon. Triangles and quadrilaterals are the most important polygons on the GMAT. | |
| 669901401 | Sum of interior angles of a polygon? What is the formula? | Polygon: 540 - three triangles, 180 degrees each. Hexagon: 720 - four triangles (n-2)180/n Quadrilateral = 360 | |
| 669901402 | Area of a trapezoid | 1/2 x (the sum of the bases) x (height) or 1/2*(b1 + b2)*h | |
| 670278963 | Volume of a solid (2 formulas) | Volume = length x width x height -- or -- Volume = area of base x height | |
| 670278964 | Surface area of a solid | SA = 2lw + 2lh + 2wh | |
| 670278965 | Formula to calculate the diagonal of a solid? | diagonal^2 = length^2 + width^2 + height^2 | |
| 670278966 | Calculate the volume of a cube | All sides are equal in a cube, so V = l x w x h = e^3 | |
| 670278967 | How calculate the volume of a cylinder | Volume = area of base x height, V = (pi)r^2 x h | |
| 670278968 | Formula to calculate lateral surface area of a cylinder? | Lateral surface area = circumference of base x height LSA = 2(pi)r x h | |
| 670278969 | Formula to calculate total surface area of a cylinder | SA = 2(pi)r^2 + 2(pi)rh | |
| 670278970 | What is formula for circumference of a circle? | C = (pi)d or C = 2(pi)r | |
| 670278971 | What is formula for the area of a circle? | Area = (pi)r^2 | |
| 672000012 | Define complementary and supplementary angles | Supplementary angles - make a straight line and angles sum to 180. Complementary - make right angle and sum to 90. | |
| 672000013 | Describe positive and negative slope in coordinate geometry. | If a line gets higher as you move to the right, it has a positive slope, if it goes down as you move to the right, it has a negative slope. Slope = Rise / Run = Change in y / change in x rise = change in y run = change in x | |
| 672000014 | What is slope-intercept form? | y = mx + b where the slope is m and b is the y-intercept. In other words, (0,b) will be a point on the line. | |
| 672000015 | What is true of the slopes of perpendicular lines? | They are negative reciprocals (e.g., -3/2 to 2/3). | |
| 674603050 | Formulas for Cone: Surface Area and Volume | SA = (pi) * r * s + (pi)r^2 V = 1/3(pi)r^2h |  |
| 677558196 | How do you find the average for a consecutive set of numbers? | First Term + Last Term / 2 1 - 10 = 1 + 10 / 2 = 5.5 (average of numbers 1 through 10) | |
| 677558197 | How do you find the sum of a sequence of integers? | Multiply the average by the number of terms + 1. |
