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GMAT Word Translations
Start Test
Study First
Subjects
:
gmat
,
reading-and-comprehension
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Optimization: inversion between finding the min/max and the values givens typical. Be careful to round up or down appropriately. Grouping: determine the limiting factor on the number of complete groups. Think about the most or least evenly distribute
Optimization & Grouping
Sample Multiple RTD Problems
Basic Motion - The RTD Chart
Ratios
2. Make a table with a few rows with NOW in the middle row. Work forwards and backwards from NOW using the problem's information. Maybe pick a smart number for the starting point - choose a number that makes the math simple.
Typical time relations
Concrete values
Ratios
Use a population chart
3. Marked by 3 primary components: rate - time & distance or work. Rate x Time = Distance (RT=D) Rate x Time= Work (RT = W)
Scheduling & Computation Problems
Use a population chart
Rates & Work Problems
Simple ratio problems
4. Slower/faster - left... and met/arrived at
Hidden Constraints
Optimization
Typical time relations
Concrete values
5. Use anagram grids to solve combinations with repetition. Set up an anagram grid to put unique items or people on the top row. Only the bottom row should have repeats. To count possible groups - divide the total factorial by two factorials: one for th
Basic Motion - The RTD Chart
Probability: Multiple Events
Equations for Exponential Growth or Decay
Anagram Grids
6. Avoid writing relationships backwards. Quickly check your translations with easy numbers. Write an unknown percent as a variable divided by 100. Translate bulk discounts and similar relationships carefully.
Translating Words Correctly
Averages: Evenly Spaced Sets
Probability: Multiple Events
Simple Factorials
7. If you have to construct and manipulate completely abstract sets - use alphabetical order to make the sets a little more concrete. If the problem is complex - create a column chart. Each column is a number in the set. Put the columns in order with t
Entirely Unknown Sets
Probability Trees
Combination & Permutation Formulas
Population Problems
8. For complicated ratio problems - the unknown multiplier technique is useful. Represent ratios with some unknown number/variable to reduce the number of variables and make the algebra easier. You can only use it once per problem. You should use it whe
The Unknown Multiplier
Overlapping Sets & Percents
Shortcuts for Averages
Sample Multiple RTD Problems
9. Indicates how far from the average data points typically fall. A small SD indicates a set is clustered closely around the average while a large SD indicates the set is spread out widely. You will not need to calculate an exact SD. GMAT questions invo
Computation problems
Standard Deviation (SD)
Combinatorics
Slot Method (for problems where certain choices are restricted)
10. Counting the number of possibilities/ways you can arrange things.Fundamental Counting Principle: if you must make a number of separate decisions - then MULTIPLY the numbers of ways to make each individual decision to find the number of ways to make a
Overlapping Sets: Double-Set Matrix
Combinatorics
Simple ratio problems
Multiple Ratios
11. If X and Y are independent events - AND means multiply the probabilities. You will wind up with a smaller number - which indicates a lower probability of success. If X and Y are mutually exclusive - OR means add the probabilities. You will wind up wi
Scheduling
Probability: Multiple Events
Arrangements with Constraints
Rates & Work Problems
12. Scheduling: focus on the extreme possibilities (earliest/latest time slots). Read the problem carefully!
Scheduling & Computation Problems
Population Problems
Overlapping Sets: Double-Set Matrix
Standard Deviation (SD)
13. If a GMAT problem requires you to choose two or more sets of items from separate pools - count the arrangements separately. Then multiply the numbers of possibilities for each step.
Averages
Multiple Arrangements
Algebraic Translations
Multiple Ratios
14. Check the problem to see if the are any implied constraints to variables like whole numbers. You can solve a data sufficiency question with little information if whole numbers are involved. You can use a table to generate - organize - and eliminate i
Hidden Constraints
3-Set Problems: Venn Diagrams
Typical time relations
Disguised Combinatorics
15. 1. Draw empty slots corresponding to each of the choices you have to make. 2. Fill in each slot with the number of options for that slot. Choose the most restricted opt ins first. 3. Multiply the numbers in the slots to find the total number of combi
Basic Work Problems
Median
Equations for Exponential Growth or Decay
Slot Method (for problems where certain choices are restricted)
16. If switching elements in a chosen set creates a different set - it is a ______________. There are usually fewer combinations than permutations.
Proportions
Permutation
Typical time relations
Ratios
17. 1. Assign variables - make up letters to represent unknown quantities to set up equations - choose meaningful letters - avoid subscripts - try to minimize the number of variables 2. Write equations - translate verbal relationships into math symbols.
Average Rate: RTD Problems
Algebraic Translations
Typical rate (speed) relations
Working Together - Add the Rates
18. Venn diagrams should ONLY be used for problems that involve 3 sets with only 2 choices per set. Work from the inside out when filling in. When filling in each outer level - remember to subtract out the members in the inner levels. To determine the to
Concrete values
The 1-x Probability Trick
3-Set Problems: Venn Diagrams
The Unknown Multiplier
19. In some probability problems - both the 'desired' possibilities and the total possibilities require counting. Use combinatorial methods to calculate the numbers of possibilities. After finding the numbers - set up the probability as a fraction - 'win
Working Together - Add the Rates
Concrete values
Combinatorics & Probability
Reforming Difficult Problems
20. For problems involving percents or fractions - use smart numbers and a double-set matrix to solve. For problems with percents - pick a total of 100. For problems with fractions - pick a common denominator for the total. You can only assign a number t
Grouping
Anagrams
Probability Trees
Overlapping Sets & Percents
21. For problems with only two categories or decisions - use a double-set matrix: Rows correspond to the options for one DECISION - columns correspond to the options for the other DECISION. Last row and column contain totals. Bottom right corner has tota
Typical rate (speed) relations
Overlapping Sets: Double-Set Matrix
Combinatorics
Median
22. I - or interval - amount of time given for the quantity to grow or decay S - or starting value - size of the population at time zero t - or time - is the variable (make sure all time units are the same) x - growth or decay factor - Population = S*x^(
Scheduling
Equations for Exponential Growth or Decay
The 1-x Probability Trick
Anagrams
23. Be able to write word problems with two different types of equations: - relate the quantities or numbers of different goods - relate the total values of the goods. 1. Assign variables - try to use as few variables as possible. 2. Write equations - fo
Prices & Quantities
Slot Method (for problems where certain choices are restricted)
Computation problems
Overlapping Sets & Percents
24. A rearrangement of the letters in a word or phrase. Count the anagrams of a simple word with n letters by using n! When there are repeated items in a set - reduce the number of arrangements. The number of arrangements of a word is the factorial of th
Anagrams
Probability
Probability: Multiple Events
Rates & Work Problems
25. The numbers in the same row of an RTD table will always multiply across. The specifics of the problem determine which columns will add up into a total row. R x T = D 1. The kiss (or crash) ADD SAME ADD 2. the quarrel (away from) ADD SAME ADD 3. The c
Use Charts to Organize Variables
Disguised Combinatorics
Sample Multiple RTD Problems
Probability: Multiple Events
26. Involve time - rate and work.- work: number of jobs completed or items produced - time: time spent working - rate: ratio of work to time - amount completed in one time unit Often have to calculate the work rate. Always express as jobs per unit of tim
Slot Method (for problems where certain choices are restricted)
Simple ratio problems
Basic Work Problems
Use a population chart
27. Make a chart when several quantities and multiple relationships. Ex: age problems - people in rows - times in columnsn 1. Assign variables - try to use 1 variable for simplicity. 2. Write equations - use leftover information/relationships to write eq
Multiple Ratios
Averages
Use Charts to Organize Variables
Overlapping Sets & Percents
28. The order a ratio is given in is vital. To avoid reversals - always write units on either the ratio or the variables.
Proportions
Multiple Arrangements
Optimization & Grouping
Simple Factorials
29. Can be solved with a proportion. 1. Set up a labeled proportion. 2. Cross-multiply to solve. Cancel factors out before multiplying to save time. Can cancel either vertically within a fraction or horizontally across the equals sign.
Population Problems
Probability
Optimization & Grouping
Simple ratio problems
30. 1. Basic motion problems 2. Average rate problems 3. Simultaneous motion problems 4. Work problems 5. Population problems
Rates & Work Problems
Main forms of rate problems
Optimization & Grouping
Combinatorics & the Domino Effect
31. Changes to Mean: Change in mean = New term - Old mean / New number of terms -- Using residuals: Residual = Data point - Mean - Keep track of signs of residuals. The residuals sum to zero in any set. All residuals cancel out.
3-Set Problems: Venn Diagrams
Typical rate (speed) relations
Proportions
Shortcuts for Averages
32. Maximize or minimize a quantity by choosing optimal values.
Averages
Overlapping Sets & Percents
Optimization
Ratios
33. Difficult problems involve rates - times and distances for more than one trip or traveler - expand the RTD chart by adding rows for each trip.
Basic Work Problems
Multiple RTD Problems
Probability Trees
Ratios
34. The average of consecutive integers is the middle term - same for any set with terms that are evenly spaced. The average is the middle term. If the set has two middle terms - take the average of the two middle numbers. To find the average (middle ter
Entirely Unknown Sets
Translating Words Correctly
Averages: Evenly Spaced Sets
Prices & Quantities
35. For counting the possible number of ways of putting n distinct objects in order - if there are no restrictions - is n! (n factorial).
Entirely Unknown Sets
Simple Factorials
Averages
Anagrams
36. Basic motion problems involve rate - time and distance. Rate = ratio of distance and time Time = a unit of time Distance = a unit of distance - Use an RTD chart to solve. Fill in 2 of the variables then use the RT=D formula to solve.
Probability
Basic Work Problems
Translating Words Correctly
Basic Motion - The RTD Chart
37. Pay close attention to the wording of the problem to see if you need to use algebra to represent the unknowns.From the relationships in the table - set up an equation to solve for unknowns. With that information - fill in the rest of the double-set m
Use Charts to Organize Variables
The Unknown Multiplier
Shortcuts for Averages
Overlapping Sets & Algebraic Representation
38. Determine the combined rate of all the workers working together: sum the individual working rates. If one agent is undoing the work of another - subtract their working rates. If a work problem involves time relations - then the calculations are just
Use Charts to Organize Variables
Optimization & Grouping
Working Together - Add the Rates
Anagram Grids
39. = sum/# of terms If you know the average - use this formula: (average) x (# of terms) = (sum) - All that matters is the sum of the terms - not the individual terms. To keep track of two average formulas - set up an RTD-style table.
3-Set Problems: Venn Diagrams
Averages
Slot Method (for problems where certain choices are restricted)
Probability Trees
40. Combination: selection of items from a larger pool where the order doesn't matter. Number of r items chosen from a pool of n items: n!/(n-r)!*r! Permutation: selection of items from a larger pool where the order matters. n!/(n-r)!
Combination & Permutation Formulas
Computation problems
Combinatorics & the Domino Effect
Scheduling & Computation Problems
41. In certain types of OR problems - the probability of the desired event NOT happening may be easier to find. If on a problem - 'success' contains multiple possibilities -- especially if the wording contains phrases such as 'at least' and 'at most' --
Permutation
The 1-x Probability Trick
Computation problems
Averages
42. Express a relationship between two or more quantities. - the relationship they express is division. Can be expressed with the word 'to' - using a colon - or by writing a fraction. Can express a part-part relationship or part-whole. Cannot find the qu
Disguised Combinatorics
Slot Method (for problems where certain choices are restricted)
Use Charts to Organize Variables
Ratios
43. Many word problems with 'how many' are combinatorics. Many combinatorics masquerade as probability problems. Looking for analogies to known problem types will help find a viable solution. Break down complicated counting problems into separate decisio
Disguised Combinatorics
Reforming Difficult Problems
Algebraic Translations
Anagrams
44. For sets with an odd number of values - the median is the middle value when in order. For sets with an even number of values - the median is the average of the two middle values. You maybe able to determine a specific value for the median even if unk
Optimization & Grouping
Typical time relations
Median
Multiple Arrangements
45. Quantity that expresses the chance - or likelihood - of an event. To find a probability - you need to know the total number of possibilities and the number of successful scenarios. All outcomes must be equally likely. Use a counting tree to find the
Probability
Probability Trees
Median
Overlapping Sets & Percents
46. Multiply the probabilities of events in a sequence - taking earlier events into account. When you have a symmetrical problem with multiple equivalent cases - calculate the probability of one case (often using the domino effect rule above). Then multi
Rates & Work Problems
Use Charts to Organize Variables
Combinatorics & the Domino Effect
Averages
47. Some population that typically increases by a common factor every time period.
Translating Words Correctly
Population Problems
Probability
Simple ratio problems
48. If a problem has unusual constraints - try counting arrangements without constraints first. Then subtract the forbidden arrangements. Glue Method: for problems in which items or people must be next to each other - pretend that the items 'stuck togeth
Arrangements with Constraints
Standard Deviation (SD)
Averages
Multiple Ratios
49. To combine ratios with common elements - multiply all of the ratios by the same number (a common multiple). Make the term you are working with the least common multiple of the current values.
The Unknown Multiplier
Equations for Exponential Growth or Decay
Grouping
Multiple Ratios
50. You don't need ____________ to find the weights. Having the ratios of the weights will allow you to find the weighted average. Write the ratio as a fraction; use the numerator and denominator as weights. If you are finding a weighted average of rates
Grouping
Multiple Arrangements
Overlapping Sets: Double-Set Matrix
Concrete values
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