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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
Sample Multiple RTD Problems
Combinatorics
Probability Trees
Arrangements with Constraints
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.
Rates & Work Problems
Probability
The 1-x Probability Trick
Scheduling
3. 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.
Optimization
Translating Words Correctly
Anagrams
Slot Method (for problems where certain choices are restricted)
4. 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
Probability: Multiple Events
Entirely Unknown Sets
Shortcuts for Averages
Overlapping Sets & Algebraic Representation
5. 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
Use Charts to Organize Variables
Rates & Work Problems
Overlapping Sets & Percents
Concrete values
6. Difficult problems involve rates - times and distances for more than one trip or traveler - expand the RTD chart by adding rows for each trip.
Shortcuts for Averages
Algebraic Translations
Multiple RTD Problems
Slot Method (for problems where certain choices are restricted)
7. 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
Grouping
Slot Method (for problems where certain choices are restricted)
Anagrams
3-Set Problems: Venn Diagrams
8. 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)!
Proportions
Combination & Permutation Formulas
Averages: Evenly Spaced Sets
Anagrams
9. 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.
Translating Words Correctly
Simple ratio problems
Population Problems
Entirely Unknown Sets
10. 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
Proportions
Averages: Evenly Spaced Sets
3-Set Problems: Venn Diagrams
Basic Work Problems
11. Put people or items into groups to maximize or minimize a characteristic in the group.
Grouping
Standard Deviation (SD)
Averages
Typical time relations
12. 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
Arrangements with Constraints
Combinatorics
Simple ratio problems
Computation problems
13. 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
Concrete values
Multiple Arrangements
Main forms of rate problems
14. 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
Reforming Difficult Problems
The Unknown Multiplier
Median
Anagram Grids
15. 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
Averages: Evenly Spaced Sets
Typical time relations
Combination & Permutation Formulas
16. For counting the possible number of ways of putting n distinct objects in order - if there are no restrictions - is n! (n factorial).
Prices & Quantities
Hidden Constraints
Simple Factorials
Basic Work Problems
17. 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
Prices & Quantities
Basic Motion - The RTD Chart
Equations for Exponential Growth or Decay
18. 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
Average Rate: RTD Problems
Standard Deviation (SD)
Disguised Combinatorics
Entirely Unknown Sets
19. Maximize or minimize a quantity by choosing optimal values.
Entirely Unknown Sets
Basic Work Problems
Optimization
The Unknown Multiplier
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
Grouping
Anagram Grids
Scheduling
Probability Trees
21. 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
Entirely Unknown Sets
Multiple Arrangements
Combinatorics & Probability
22. 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
Scheduling & Computation Problems
Combinatorics & the Domino Effect
Combination & Permutation Formulas
23. 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
Shortcuts for Averages
Probability Trees
3-Set Problems: Venn Diagrams
Overlapping Sets & Algebraic Representation
24. = 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: Multiple Events
Optimization & Grouping
Averages
Use a population chart
25. 1. Basic motion problems 2. Average rate problems 3. Simultaneous motion problems 4. Work problems 5. Population problems
Main forms of rate problems
Equations for Exponential Growth or Decay
Anagram Grids
Overlapping Sets & Algebraic Representation
26. 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
Rates & Work Problems
Ratios
Probability: Multiple Events
Median
27. 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
Typical rate (speed) relations
Disguised Combinatorics
3-Set Problems: Venn Diagrams
Simple Factorials
28. Slower/faster - left... and met/arrived at
Averages: Evenly Spaced Sets
Typical time relations
Main forms of rate problems
Overlapping Sets & Percents
29. The order a ratio is given in is vital. To avoid reversals - always write units on either the ratio or the variables.
Rates & Work Problems
Anagrams
Multiple Arrangements
Proportions
30. 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
Hidden Constraints
Disguised Combinatorics
Simple Factorials
31. 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
Probability: Multiple Events
Use Charts to Organize Variables
3-Set Problems: Venn Diagrams
Overlapping Sets: Double-Set Matrix
32. 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.
Standard Deviation (SD)
Algebraic Translations
Prices & Quantities
Shortcuts for Averages
33. 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
Typical rate (speed) relations
Combinatorics & Probability
3-Set Problems: Venn Diagrams
Typical time relations
34. 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
Simple Factorials
Sample Multiple RTD Problems
Algebraic Translations
Population 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
Standard Deviation (SD)
Average Rate: RTD Problems
Arrangements with Constraints
Computation problems
36. 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
3-Set Problems: Venn Diagrams
Standard Deviation (SD)
Anagram Grids
Probability Trees
37. 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
Overlapping Sets & Percents
Multiple RTD Problems
Combinatorics & the Domino Effect
Combinatorics & Probability
38. 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
Translating Words Correctly
Scheduling
Use Charts to Organize Variables
Arrangements with Constraints
39. 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
Overlapping Sets: Double-Set Matrix
Weighted Averages
Translating Words Correctly
40. 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
Shortcuts for Averages
Weighted Averages
Multiple RTD Problems
41. 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
Use a population chart
Combinatorics
Overlapping Sets & Algebraic Representation
Weighted Averages
42. Some population that typically increases by a common factor every time period.
Prices & Quantities
Population Problems
Standard Deviation (SD)
Anagrams
43. Marked by 3 primary components: rate - time & distance or work. Rate x Time = Distance (RT=D) Rate x Time= Work (RT = W)
Use a population chart
Optimization & Grouping
Rates & Work Problems
Typical rate (speed) relations
44. Scheduling: focus on the extreme possibilities (earliest/latest time slots). Read the problem carefully!
Scheduling & Computation Problems
Multiple RTD Problems
Optimization & Grouping
Standard Deviation (SD)
45. 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^(
Algebraic Translations
Use Charts to Organize Variables
Equations for Exponential Growth or Decay
Optimization
46. 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
Concrete values
Anagram Grids
The Unknown Multiplier
Prices & Quantities
47. If switching elements in a chosen set creates a different set - it is a ______________. There are usually fewer combinations than permutations.
Permutation
Combinatorics & the Domino Effect
Arrangements with Constraints
Median
48. 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
Proportions
Arrangements with Constraints
Hidden Constraints
Working Together - Add the Rates
49. 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
Combinatorics
Grouping
Overlapping Sets & Percents
Multiple Ratios
50. 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' --
Proportions
Slot Method (for problems where certain choices are restricted)
The 1-x Probability Trick
Hidden Constraints