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Test your basic knowledge |
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. 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
Algebraic Translations
Overlapping Sets & Algebraic Representation
The Unknown Multiplier
Overlapping Sets: Double-Set Matrix
2. Planning a timeline to coordinate events to a set of restrictions. Focus on the extreme scenarios: 1. Be aware of both explicit and hidden constraints.2. Choose the highest or lowest values of the variables. 3. Be very careful about rounding.
Scheduling
The 1-x Probability Trick
Optimization & Grouping
Averages
3. Scheduling: focus on the extreme possibilities (earliest/latest time slots). Read the problem carefully!
Combinatorics
Anagram Grids
Scheduling & Computation Problems
Prices & Quantities
4. 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.
Simple ratio problems
Slot Method (for problems where certain choices are restricted)
Average Rate: RTD Problems
Computation problems
5. To keep track of branching possibilities and 'winning scenarios': label each branch and input the probabilities - on the second set of branches - input the probabilities AS IF the first pick was made - remember the domino effect! - compute the probab
Computation problems
Arrangements with Constraints
Probability Trees
Typical rate (speed) relations
6. Slower/faster - left... and met/arrived at
Simple Factorials
Translating Words Correctly
Anagram Grids
Typical time relations
7. 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
Multiple RTD Problems
Anagrams
Population Problems
Median
8. 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
3-Set Problems: Venn Diagrams
Multiple Ratios
Simple Factorials
The 1-x Probability Trick
9. 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
Combinatorics
Probability Trees
Averages: Evenly Spaced Sets
Averages
10. 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.
Optimization
Optimization & Grouping
Use a population chart
Algebraic Translations
11. 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
Typical rate (speed) relations
Sample Multiple RTD Problems
Population Problems
Grouping
12. Marked by 3 primary components: rate - time & distance or work. Rate x Time = Distance (RT=D) Rate x Time= Work (RT = W)
Scheduling
Simple ratio problems
Rates & Work Problems
Probability
13. If a probability problem seems to require extensive calculation - try to reformulate it in a way that either takes advantage of symmetry in the problem or groups several individual cases together at once.
Equations for Exponential Growth or Decay
Reforming Difficult Problems
Probability Trees
The 1-x Probability Trick
14. 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)!
Optimization & Grouping
Equations for Exponential Growth or Decay
Standard Deviation (SD)
Combination & Permutation Formulas
15. 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
Combination & Permutation Formulas
Median
Probability
16. 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
Averages: Evenly Spaced Sets
Concrete values
Standard Deviation (SD)
17. 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
Simple ratio problems
Concrete values
Arrangements with Constraints
Anagram Grids
18. 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
Combinatorics & Probability
Algebraic Translations
Entirely Unknown Sets
Probability: Multiple Events
19. Some population that typically increases by a common factor every time period.
Combinatorics & the Domino Effect
Simple Factorials
Population Problems
Multiple RTD Problems
20. 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
Anagrams
Scheduling & Computation Problems
Anagram Grids
Combination & Permutation Formulas
21. 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
Weighted Averages
Rates & Work Problems
Optimization & Grouping
Simple Factorials
22. For counting the possible number of ways of putting n distinct objects in order - if there are no restrictions - is n! (n factorial).
Simple Factorials
Use a population chart
Concrete values
Probability Trees
23. 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
Entirely Unknown Sets
Working Together - Add the Rates
Standard Deviation (SD)
Disguised Combinatorics
24. 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
Probability
Average Rate: RTD Problems
Rates & Work Problems
Averages: Evenly Spaced Sets
25. 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.
Reforming Difficult Problems
Multiple Ratios
Probability: Multiple Events
Use a population chart
26. 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
Entirely Unknown Sets
Overlapping Sets & Algebraic Representation
Ratios
Arrangements with Constraints
27. If switching elements in a chosen set creates a different set - it is a ______________. There are usually fewer combinations than permutations.
Overlapping Sets & Percents
Permutation
Basic Work Problems
Optimization
28. 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
Population Problems
Anagrams
Combinatorics & Probability
Combinatorics
29. Maximize or minimize a quantity by choosing optimal values.
Standard Deviation (SD)
Optimization
Optimization & Grouping
Arrangements with Constraints
30. 1. Basic motion problems 2. Average rate problems 3. Simultaneous motion problems 4. Work problems 5. Population problems
Disguised Combinatorics
Main forms of rate problems
Grouping
Sample Multiple RTD Problems
31. Will be closer to the number with the bigger weight. If the weights don't add to one - sum the weights and use that to divide in order to have a total weight of one. Weighted average = weight/sum of weights(data point) + weight/sum of weights(data po
Optimization & Grouping
Algebraic Translations
Anagrams
Weighted Averages
32. = 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.
Rates & Work Problems
Weighted Averages
Averages
Combinatorics
33. 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
Sample Multiple RTD Problems
Basic Motion - The RTD Chart
Combinatorics & the Domino Effect
34. 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^(
Optimization & Grouping
Equations for Exponential Growth or Decay
Scheduling
Rates & Work Problems
35. 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
Concrete values
Main forms of rate problems
Combinatorics
36. 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.
Shortcuts for Averages
Main forms of rate problems
Use a population chart
Hidden Constraints
37. 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
Typical time relations
Arrangements with Constraints
Combination & Permutation Formulas
Slot Method (for problems where certain choices are restricted)
38. 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.
Arrangements with Constraints
Average Rate: RTD Problems
Use a population chart
Weighted Averages
39. 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' --
The 1-x Probability Trick
Typical rate (speed) relations
Permutation
Hidden Constraints
40. 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
Disguised Combinatorics
Entirely Unknown Sets
Overlapping Sets: Double-Set Matrix
Translating Words Correctly
41. 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.
Grouping
Translating Words Correctly
Slot Method (for problems where certain choices are restricted)
Prices & Quantities
42. 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.
Combinatorics & the Domino Effect
Reforming Difficult Problems
Shortcuts for Averages
Basic Motion - The RTD Chart
43. 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
Anagrams
Overlapping Sets & Percents
Averages
Standard Deviation (SD)
44. 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
Proportions
Probability
Average Rate: RTD Problems
Averages: Evenly Spaced Sets
45. 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
Combinatorics & the Domino Effect
Use Charts to Organize Variables
Overlapping Sets & Percents
Combination & Permutation Formulas
46. Don't just add and divide! If something moves the same distance twice but at different rates - then the average rate will NEVER be the average of the two given rates. The average rate will be closer to the slower of the two rates. Find the total comb
Combinatorics
The Unknown Multiplier
Multiple Ratios
Average Rate: RTD Problems
47. 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
Combinatorics
Arrangements with Constraints
Averages: Evenly Spaced Sets
Reforming Difficult Problems
48. 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
Standard Deviation (SD)
Grouping
Basic Work Problems
Permutation
49. Twice/half/n times as fast as - slower/faster - relative rates
Slot Method (for problems where certain choices are restricted)
Typical rate (speed) relations
Permutation
Translating Words Correctly
50. Put people or items into groups to maximize or minimize a characteristic in the group.
Algebraic Translations
Overlapping Sets & Algebraic Representation
Grouping
Scheduling & Computation Problems