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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. 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
Probability Trees
Hidden Constraints
3-Set Problems: Venn Diagrams
Translating Words Correctly
2. Scheduling: focus on the extreme possibilities (earliest/latest time slots). Read the problem carefully!
Combinatorics & the Domino Effect
Averages: Evenly Spaced Sets
Scheduling & Computation Problems
Scheduling
3. 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
Average Rate: RTD Problems
Permutation
Basic Motion - The RTD Chart
3-Set Problems: Venn Diagrams
4. Maximize or minimize a quantity by choosing optimal values.
Probability Trees
3-Set Problems: Venn Diagrams
Combinatorics & the Domino Effect
Optimization
5. 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
Algebraic Translations
Overlapping Sets & Algebraic Representation
Combinatorics
Main forms of rate problems
6. 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
Algebraic Translations
Proportions
Weighted Averages
Equations for Exponential Growth or Decay
7. Put people or items into groups to maximize or minimize a characteristic in the group.
Concrete values
Population Problems
Grouping
Multiple Arrangements
8. If switching elements in a chosen set creates a different set - it is a ______________. There are usually fewer combinations than permutations.
Permutation
Anagram Grids
Grouping
Population Problems
9. For counting the possible number of ways of putting n distinct objects in order - if there are no restrictions - is n! (n factorial).
Overlapping Sets: Double-Set Matrix
Multiple Ratios
Use a population chart
Simple Factorials
10. 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
Shortcuts for Averages
Entirely Unknown Sets
Reforming Difficult Problems
Scheduling
11. 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)!
Combinatorics
Combination & Permutation Formulas
The Unknown Multiplier
Probability: Multiple Events
12. 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
Translating Words Correctly
Weighted Averages
Basic Work Problems
Ratios
13. 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
Main forms of rate problems
Standard Deviation (SD)
Permutation
14. Marked by 3 primary components: rate - time & distance or work. Rate x Time = Distance (RT=D) Rate x Time= Work (RT = W)
Median
Combinatorics & the Domino Effect
Rates & Work Problems
Averages
15. 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.
Anagram Grids
Anagrams
Simple Factorials
Simple ratio problems
16. 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
Multiple Ratios
Combinatorics & Probability
Hidden Constraints
Translating Words Correctly
17. 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^(
Multiple Ratios
Use a population chart
Anagrams
Equations for Exponential Growth or Decay
18. 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
Use Charts to Organize Variables
Overlapping Sets & Percents
Arrangements with Constraints
Proportions
19. 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
Proportions
The 1-x Probability Trick
Concrete values
Anagrams
20. 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.
Use a population chart
Basic Work Problems
Sample Multiple RTD Problems
Rates & Work Problems
21. 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
Combinatorics & Probability
Probability
The Unknown Multiplier
Use a population chart
22. 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.
Working Together - Add the Rates
Reforming Difficult Problems
Optimization & Grouping
Algebraic Translations
23. Some population that typically increases by a common factor every time period.
The Unknown Multiplier
Main forms of rate problems
Population Problems
Median
24. 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' --
Entirely Unknown Sets
Population Problems
Use a population chart
The 1-x Probability Trick
25. 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.
Overlapping Sets: Double-Set Matrix
Multiple Arrangements
Anagrams
Ratios
26. 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
Main forms of rate problems
Entirely Unknown Sets
Slot Method (for problems where certain choices are restricted)
27. Difficult problems involve rates - times and distances for more than one trip or traveler - expand the RTD chart by adding rows for each trip.
Concrete values
Translating Words Correctly
Weighted Averages
Multiple RTD Problems
28. Contains no variables; simply plug and chug. 1. Take careful inventory of qtys - numbers and units. 2. Use math techniques and tricks to solve; assign variables. 3. Draw diagrams - tables and charts to organize the information. 4. Read the problem ca
Proportions
Standard Deviation (SD)
Scheduling & Computation Problems
Computation problems
29. Twice/half/n times as fast as - slower/faster - relative rates
Combinatorics & Probability
Working Together - Add the Rates
Typical rate (speed) relations
Standard Deviation (SD)
30. 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
Average Rate: RTD Problems
Combinatorics
Reforming Difficult Problems
Anagram Grids
31. 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
Sample Multiple RTD Problems
Optimization
Main forms of rate problems
Probability Trees
32. 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
Combinatorics
Multiple Ratios
Translating Words Correctly
33. 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
Ratios
Combinatorics
Entirely Unknown Sets
Rates & Work Problems
34. 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
Overlapping Sets & Percents
Working Together - Add the Rates
Population Problems
Main forms of rate problems
35. 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
Slot Method (for problems where certain choices are restricted)
Basic Motion - The RTD Chart
Weighted Averages
Prices & Quantities
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.
Use Charts to Organize Variables
Arrangements with Constraints
Computation problems
Basic Motion - The RTD Chart
37. 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
Averages
Averages: Evenly Spaced Sets
Combinatorics & Probability
Multiple RTD Problems
38. 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
The 1-x Probability Trick
Combinatorics
Disguised Combinatorics
Median
39. 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.
Equations for Exponential Growth or Decay
Translating Words Correctly
Main forms of rate problems
Overlapping Sets & Algebraic Representation
40. 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
Working Together - Add the Rates
Standard Deviation (SD)
Sample Multiple RTD Problems
Probability: Multiple Events
41. 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
Overlapping Sets & Percents
Population Problems
Sample Multiple RTD Problems
Optimization & Grouping
42. = 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.
Probability Trees
Scheduling & Computation Problems
Median
Averages
43. 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.
Shortcuts for Averages
Translating Words Correctly
Sample Multiple RTD Problems
Multiple Ratios
44. 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
Anagrams
Permutation
Reforming Difficult Problems
Arrangements with Constraints
45. 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
Reforming Difficult Problems
Permutation
Working Together - Add the Rates
Average Rate: RTD Problems
46. 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
Combinatorics
Standard Deviation (SD)
Reforming Difficult Problems
Hidden Constraints
47. The order a ratio is given in is vital. To avoid reversals - always write units on either the ratio or the variables.
Multiple Ratios
Typical time relations
Weighted Averages
Proportions
48. 1. Basic motion problems 2. Average rate problems 3. Simultaneous motion problems 4. Work problems 5. Population problems
Use a population chart
Main forms of rate problems
Overlapping Sets: Double-Set Matrix
Median
49. 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
Arrangements with Constraints
Basic Work Problems
Population Problems
Optimization & Grouping
50. 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
Slot Method (for problems where certain choices are restricted)
Probability Trees
Prices & Quantities
Overlapping Sets: Double-Set Matrix