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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. 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.
Disguised Combinatorics
Arrangements with Constraints
Basic Motion - The RTD Chart
Entirely Unknown Sets
2. 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.
Overlapping Sets: Double-Set Matrix
Population Problems
Multiple RTD Problems
Multiple Ratios
3. 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.
Reforming Difficult Problems
Permutation
Main forms of rate problems
Use Charts to Organize Variables
4. 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
Permutation
Standard Deviation (SD)
The Unknown Multiplier
Equations for Exponential Growth or Decay
5. 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
3-Set Problems: Venn Diagrams
Permutation
Average Rate: RTD Problems
Typical time relations
6. 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
Combinatorics & the Domino Effect
Typical time relations
Rates & Work Problems
Use a population chart
7. 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
Typical rate (speed) relations
Standard Deviation (SD)
Rates & Work Problems
Multiple RTD Problems
8. 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
Rates & Work Problems
Overlapping Sets & Algebraic Representation
Optimization
Simple ratio problems
9. Difficult problems involve rates - times and distances for more than one trip or traveler - expand the RTD chart by adding rows for each trip.
Weighted Averages
Slot Method (for problems where certain choices are restricted)
Multiple RTD Problems
Combination & Permutation Formulas
10. 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
Proportions
Optimization
Sample Multiple RTD Problems
Anagrams
11. 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
Average Rate: RTD Problems
Basic Work Problems
Permutation
Prices & Quantities
12. Marked by 3 primary components: rate - time & distance or work. Rate x Time = Distance (RT=D) Rate x Time= Work (RT = W)
Entirely Unknown Sets
Use a population chart
Rates & Work Problems
Probability
13. 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
Grouping
Arrangements with Constraints
Typical rate (speed) relations
3-Set Problems: Venn Diagrams
14. 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
Average Rate: RTD Problems
Weighted Averages
Overlapping Sets & Algebraic Representation
Reforming Difficult Problems
15. 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
Optimization & Grouping
Overlapping Sets: Double-Set Matrix
Combinatorics & Probability
Basic Motion - The RTD Chart
16. 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
Main forms of rate problems
Probability: Multiple Events
Overlapping Sets: Double-Set Matrix
Anagrams
17. 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.
Anagram Grids
Translating Words Correctly
Ratios
The 1-x Probability Trick
18. 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
Multiple RTD Problems
Computation problems
The 1-x Probability Trick
Combinatorics & Probability
19. 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
3-Set Problems: Venn Diagrams
Averages: Evenly Spaced Sets
Hidden Constraints
20. The order a ratio is given in is vital. To avoid reversals - always write units on either the ratio or the variables.
Proportions
Main forms of rate problems
Standard Deviation (SD)
Averages
21. 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
Median
Combination & Permutation Formulas
Optimization
Averages: Evenly Spaced Sets
22. 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
Typical rate (speed) relations
Hidden Constraints
Probability Trees
Combinatorics & the Domino Effect
23. 1. Basic motion problems 2. Average rate problems 3. Simultaneous motion problems 4. Work problems 5. Population problems
The 1-x Probability Trick
Algebraic Translations
Main forms of rate problems
Overlapping Sets & Percents
24. Scheduling: focus on the extreme possibilities (earliest/latest time slots). Read the problem carefully!
Scheduling & Computation Problems
Weighted Averages
Arrangements with Constraints
Ratios
25. 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^(
Main forms of rate problems
Optimization & Grouping
Working Together - Add the Rates
Equations for Exponential Growth or Decay
26. 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
Scheduling
Permutation
Sample Multiple RTD Problems
Use Charts to Organize Variables
27. Put people or items into groups to maximize or minimize a characteristic in the group.
Standard Deviation (SD)
Use a population chart
Grouping
Equations for Exponential Growth or Decay
28. 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
The Unknown Multiplier
Overlapping Sets & Percents
Use Charts to Organize Variables
29. 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
Permutation
Averages: Evenly Spaced Sets
Optimization & Grouping
Equations for Exponential Growth or Decay
30. 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
Basic Motion - The RTD Chart
Working Together - Add the Rates
Average Rate: RTD Problems
Multiple RTD Problems
31. 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.
Algebraic Translations
Simple ratio problems
Equations for Exponential Growth or Decay
Multiple RTD Problems
32. 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
Overlapping Sets: Double-Set Matrix
Population Problems
Probability
Combination & Permutation Formulas
33. 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
Optimization
Slot Method (for problems where certain choices are restricted)
Multiple RTD Problems
The 1-x Probability Trick
34. Maximize or minimize a quantity by choosing optimal values.
The Unknown Multiplier
Optimization
Proportions
Simple ratio problems
35. 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
Scheduling
Simple Factorials
Proportions
36. 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' --
Population Problems
Multiple Arrangements
Shortcuts for Averages
The 1-x Probability Trick
37. 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
Basic Motion - The RTD Chart
Hidden Constraints
Combinatorics
Shortcuts for Averages
38. 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
Basic Work Problems
Combinatorics & Probability
Typical rate (speed) relations
Multiple Ratios
39. 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
Typical time relations
Concrete values
Anagram Grids
Combinatorics
40. Some population that typically increases by a common factor every time period.
Typical time relations
Population Problems
Disguised Combinatorics
Anagram Grids
41. Twice/half/n times as fast as - slower/faster - relative rates
Typical rate (speed) relations
Overlapping Sets & Percents
Prices & Quantities
Anagram Grids
42. 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
Anagram Grids
Multiple Arrangements
Scheduling
Overlapping Sets: Double-Set Matrix
43. 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
The 1-x Probability Trick
Scheduling
Prices & Quantities
44. 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.
Probability: Multiple Events
Proportions
Use a population chart
The Unknown Multiplier
45. 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
Average Rate: RTD Problems
Simple ratio problems
Overlapping Sets & Percents
3-Set Problems: Venn Diagrams
46. 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
Rates & Work Problems
Multiple Arrangements
Sample Multiple RTD Problems
47. 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
Overlapping Sets & Algebraic Representation
Main forms of rate problems
Use Charts to Organize Variables
Probability: Multiple Events
48. 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.
Working Together - Add the Rates
Simple ratio problems
Basic Work Problems
Population Problems
49. 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: Evenly Spaced Sets
Combinatorics & the Domino Effect
Probability Trees
Translating Words Correctly
50. 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
Basic Motion - The RTD Chart
Slot Method (for problems where certain choices are restricted)
Entirely Unknown Sets
Combination & Permutation Formulas