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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. 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.
Scheduling & Computation Problems
Grouping
Multiple Arrangements
Averages: Evenly Spaced Sets
2. 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
Translating Words Correctly
Basic Motion - The RTD Chart
Overlapping Sets & Percents
3. 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
Disguised Combinatorics
Scheduling & Computation Problems
Prices & Quantities
Sample Multiple RTD Problems
4. Maximize or minimize a quantity by choosing optimal values.
Optimization
Probability Trees
Permutation
Simple ratio problems
5. If switching elements in a chosen set creates a different set - it is a ______________. There are usually fewer combinations than permutations.
Permutation
Multiple Arrangements
Combinatorics & the Domino Effect
Shortcuts for Averages
6. Marked by 3 primary components: rate - time & distance or work. Rate x Time = Distance (RT=D) Rate x Time= Work (RT = W)
Probability: Multiple Events
Rates & Work Problems
Anagrams
Probability
7. 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 & Probability
Concrete values
Computation problems
Arrangements with Constraints
8. 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 & the Domino Effect
Computation problems
Overlapping Sets: Double-Set Matrix
Hidden Constraints
9. 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
Average Rate: RTD Problems
Scheduling
Combination & Permutation Formulas
Use Charts to Organize Variables
10. 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
Overlapping Sets & Percents
Proportions
11. Twice/half/n times as fast as - slower/faster - relative rates
Scheduling
Typical rate (speed) relations
Optimization
Proportions
12. 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
Anagrams
Optimization & Grouping
Combinatorics & the Domino Effect
13. 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^(
Permutation
Equations for Exponential Growth or Decay
Overlapping Sets & Algebraic Representation
Translating Words Correctly
14. 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
Population Problems
Reforming Difficult Problems
3-Set Problems: Venn Diagrams
Averages
15. 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
3-Set Problems: Venn Diagrams
Multiple Ratios
Simple Factorials
16. Difficult problems involve rates - times and distances for more than one trip or traveler - expand the RTD chart by adding rows for each trip.
3-Set Problems: Venn Diagrams
Multiple RTD Problems
Simple Factorials
Typical rate (speed) relations
17. 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
Scheduling
Basic Motion - The RTD Chart
Equations for Exponential Growth or Decay
18. 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
Multiple Arrangements
Optimization
Optimization & Grouping
Average Rate: RTD Problems
19. 1. Basic motion problems 2. Average rate problems 3. Simultaneous motion problems 4. Work problems 5. Population problems
Scheduling
Main forms of rate problems
Combination & Permutation Formulas
Prices & Quantities
20. 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
Overlapping Sets & Algebraic Representation
Scheduling
Weighted Averages
21. 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
Concrete values
Entirely Unknown Sets
Main forms of rate problems
Use Charts to Organize Variables
22. For counting the possible number of ways of putting n distinct objects in order - if there are no restrictions - is n! (n factorial).
Median
Optimization
Simple Factorials
Grouping
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
Sample Multiple RTD Problems
Working Together - Add the Rates
Overlapping Sets & Percents
Algebraic Translations
24. 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.
Overlapping Sets: Double-Set Matrix
Simple ratio problems
Reforming Difficult Problems
Anagrams
25. Slower/faster - left... and met/arrived at
Optimization
Typical time relations
Multiple Arrangements
Median
26. 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
Probability
Concrete values
Population Problems
27. Some population that typically increases by a common factor every time period.
Typical time relations
Use a population chart
Population Problems
Prices & Quantities
28. The order a ratio is given in is vital. To avoid reversals - always write units on either the ratio or the variables.
Combinatorics & Probability
Computation problems
Multiple Ratios
Proportions
29. 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.
Combination & Permutation Formulas
Working Together - Add the Rates
Combinatorics
Simple ratio problems
30. 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
Typical time relations
Prices & Quantities
Probability Trees
31. 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 Ratios
Optimization
Ratios
Computation problems
32. 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
Concrete values
The Unknown Multiplier
Permutation
Overlapping Sets & Percents
33. 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
The 1-x Probability Trick
Permutation
Overlapping Sets & Percents
34. Put people or items into groups to maximize or minimize a characteristic in the group.
Translating Words Correctly
Overlapping Sets & Algebraic Representation
Grouping
Population Problems
35. 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
Rates & Work Problems
Weighted Averages
Permutation
Scheduling
36. 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
Probability Trees
Slot Method (for problems where certain choices are restricted)
Average Rate: RTD Problems
37. 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
Population Problems
Anagrams
Reforming Difficult Problems
38. = 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
Basic Motion - The RTD Chart
Hidden Constraints
Anagram Grids
39. 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
Standard Deviation (SD)
Working Together - Add the Rates
Optimization & Grouping
40. 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
Sample Multiple RTD Problems
Slot Method (for problems where certain choices are restricted)
Equations for Exponential Growth or Decay
41. Scheduling: focus on the extreme possibilities (earliest/latest time slots). Read the problem carefully!
Combinatorics & the Domino Effect
Average Rate: RTD Problems
Weighted Averages
Scheduling & Computation Problems
42. 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
Probability: Multiple Events
Scheduling & Computation Problems
Anagrams
Combinatorics & Probability
43. 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
Optimization
Probability Trees
Overlapping Sets & Algebraic Representation
Combinatorics & the Domino Effect
44. 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
The 1-x Probability Trick
Basic Work Problems
Arrangements with Constraints
45. 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
Main forms of rate problems
Combination & Permutation Formulas
Typical time relations
46. 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
Probability
Use Charts to Organize Variables
Computation problems
Permutation
47. 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.
Computation problems
Shortcuts for Averages
Average Rate: RTD Problems
Working Together - Add the Rates
48. 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.
Combinatorics & Probability
Population Problems
Median
Translating Words Correctly
49. 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
3-Set Problems: Venn Diagrams
The Unknown Multiplier
Overlapping Sets & Percents
Multiple Arrangements
50. 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
Probability
Overlapping Sets: Double-Set Matrix
Equations for Exponential Growth or Decay
Combinatorics & Probability