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