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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. 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
Hidden Constraints
Weighted Averages
Typical time relations
Averages: Evenly Spaced Sets
2. Marked by 3 primary components: rate - time & distance or work. Rate x Time = Distance (RT=D) Rate x Time= Work (RT = W)
Disguised Combinatorics
Rates & Work Problems
Standard Deviation (SD)
Scheduling & Computation Problems
3. 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
Basic Work Problems
Optimization & Grouping
Average Rate: RTD Problems
Combinatorics
4. 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.
Simple ratio problems
3-Set Problems: Venn Diagrams
Use a population chart
Combinatorics
5. 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
Scheduling
Combination & Permutation Formulas
Slot Method (for problems where certain choices are restricted)
Probability
6. 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
Ratios
Proportions
Translating Words Correctly
Anagram Grids
7. 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)!
Overlapping Sets: Double-Set Matrix
Basic Work Problems
Combinatorics
Combination & Permutation Formulas
8. 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.
Optimization
The Unknown Multiplier
Basic Motion - The RTD Chart
Combination & Permutation Formulas
9. 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
Permutation
Scheduling & Computation Problems
The Unknown Multiplier
Anagrams
10. For counting the possible number of ways of putting n distinct objects in order - if there are no restrictions - is n! (n factorial).
Simple Factorials
Combinatorics
Weighted Averages
Standard Deviation (SD)
11. 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
Combinatorics & Probability
Use Charts to Organize Variables
Basic Work Problems
Probability Trees
12. Slower/faster - left... and met/arrived at
Overlapping Sets & Percents
Typical time relations
Overlapping Sets & Algebraic Representation
Averages: Evenly Spaced Sets
13. 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
Prices & Quantities
Overlapping Sets & Percents
Typical rate (speed) relations
Weighted Averages
14. 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
Computation problems
Optimization & Grouping
3-Set Problems: Venn Diagrams
Shortcuts for Averages
15. Scheduling: focus on the extreme possibilities (earliest/latest time slots). Read the problem carefully!
Typical rate (speed) relations
Probability
Combinatorics & the Domino Effect
Scheduling & Computation Problems
16. 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)
Combination & Permutation Formulas
Combinatorics & the Domino Effect
Multiple Ratios
17. 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
Anagram Grids
Combinatorics & Probability
Sample Multiple RTD Problems
Anagrams
18. 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.
Anagrams
Scheduling
Probability
The 1-x Probability Trick
19. 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
Combinatorics & the Domino Effect
Arrangements with Constraints
Overlapping Sets: Double-Set Matrix
20. 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.
Disguised Combinatorics
Working Together - Add the Rates
Rates & Work Problems
Multiple Arrangements
21. Some population that typically increases by a common factor every time period.
Typical rate (speed) relations
Prices & Quantities
Population Problems
Disguised Combinatorics
22. 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
Weighted Averages
Averages: Evenly Spaced Sets
Disguised Combinatorics
Scheduling
23. 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' --
The 1-x Probability Trick
Overlapping Sets & Percents
Disguised Combinatorics
Computation problems
24. 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
Simple ratio problems
Typical rate (speed) relations
Averages: Evenly Spaced Sets
25. Put people or items into groups to maximize or minimize a characteristic in the group.
Grouping
Reforming Difficult Problems
Working Together - Add the Rates
Proportions
26. 1. Basic motion problems 2. Average rate problems 3. Simultaneous motion problems 4. Work problems 5. Population problems
Use Charts to Organize Variables
Arrangements with Constraints
Main forms of rate problems
Prices & Quantities
27. 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
Use a population chart
The Unknown Multiplier
Prices & Quantities
Averages: Evenly Spaced Sets
28. 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
Simple Factorials
Standard Deviation (SD)
Combinatorics & Probability
Typical time relations
29. 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
Median
Combination & Permutation Formulas
Ratios
Use Charts to Organize Variables
30. 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 RTD Problems
Computation problems
Reforming Difficult Problems
Averages
31. 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.
Grouping
Weighted Averages
Translating Words Correctly
Basic Motion - The RTD Chart
32. 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
Averages: Evenly Spaced Sets
Combinatorics
Computation problems
Multiple Ratios
33. 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
Slot Method (for problems where certain choices are restricted)
Averages
The Unknown Multiplier
Median
34. 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
Multiple Arrangements
Ratios
Hidden Constraints
Probability
35. 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
The Unknown Multiplier
Overlapping Sets & Algebraic Representation
Prices & Quantities
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
Basic Motion - The RTD Chart
Use Charts to Organize Variables
Probability Trees
Simple ratio problems
37. 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
The Unknown Multiplier
Typical time relations
Working Together - Add the Rates
Overlapping Sets: Double-Set Matrix
38. Maximize or minimize a quantity by choosing optimal values.
Arrangements with Constraints
Proportions
Optimization
Overlapping Sets & Percents
39. = 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.
Permutation
Entirely Unknown Sets
Averages
Use Charts to Organize Variables
40. The order a ratio is given in is vital. To avoid reversals - always write units on either the ratio or the variables.
Proportions
Use a population chart
Equations for Exponential Growth or Decay
Computation 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.
Basic Work Problems
Disguised Combinatorics
Multiple Ratios
Main forms of rate 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
Median
Rates & Work Problems
Probability
Anagrams
43. 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.
Multiple Ratios
Typical rate (speed) relations
Shortcuts for Averages
Use Charts to Organize Variables
44. If switching elements in a chosen set creates a different set - it is a ______________. There are usually fewer combinations than permutations.
Prices & Quantities
3-Set Problems: Venn Diagrams
Permutation
Combination & Permutation Formulas
45. 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
Multiple Ratios
Equations for Exponential Growth or Decay
Probability Trees
Use Charts to Organize Variables
46. 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
Scheduling
The Unknown Multiplier
The 1-x Probability Trick
47. 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
Prices & Quantities
Typical time relations
Optimization
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
Algebraic Translations
Equations for Exponential Growth or Decay
Use Charts to Organize Variables
3-Set Problems: Venn Diagrams
49. 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
Basic Motion - The RTD Chart
Overlapping Sets & Percents
Prices & Quantities
Hidden Constraints
50. 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.
Optimization & Grouping
Combinatorics & the Domino Effect
Use a population chart
Typical time relations