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