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