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