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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. 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
Grouping
Optimization & Grouping
Basic Work Problems
Multiple Arrangements
2. 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
Weighted Averages
Hidden Constraints
Overlapping Sets & Percents
The 1-x Probability Trick
3. 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
The Unknown Multiplier
Slot Method (for problems where certain choices are restricted)
Combinatorics
Scheduling & Computation Problems
4. 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.
Basic Motion - The RTD Chart
Entirely Unknown Sets
Computation problems
Basic Work Problems
5. 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.
Probability: Multiple Events
Typical rate (speed) relations
Weighted Averages
Multiple Ratios
6. If switching elements in a chosen set creates a different set - it is a ______________. There are usually fewer combinations than permutations.
Scheduling & Computation Problems
Probability Trees
Permutation
Ratios
7. 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
Slot Method (for problems where certain choices are restricted)
Optimization
Computation problems
Equations for Exponential Growth or Decay
8. 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
Use Charts to Organize Variables
Scheduling
Simple ratio problems
9. 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.
Typical time relations
Combinatorics & the Domino Effect
Use a population chart
Grouping
10. 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
Anagram Grids
Overlapping Sets: Double-Set Matrix
Working Together - Add the Rates
Combinatorics & Probability
11. Twice/half/n times as fast as - slower/faster - relative rates
Typical rate (speed) relations
Disguised Combinatorics
Simple Factorials
Probability
12. 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.
Computation problems
Scheduling & Computation Problems
Overlapping Sets & Algebraic Representation
Scheduling
13. Put people or items into groups to maximize or minimize a characteristic in the group.
Multiple Arrangements
Overlapping Sets & Percents
The Unknown Multiplier
Grouping
14. 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
Prices & Quantities
Entirely Unknown Sets
Overlapping Sets & Percents
Anagrams
15. Slower/faster - left... and met/arrived at
Rates & Work Problems
Typical time relations
Hidden Constraints
Entirely Unknown Sets
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.
Multiple Ratios
Multiple RTD Problems
Anagram Grids
Equations for Exponential Growth or Decay
17. For counting the possible number of ways of putting n distinct objects in order - if there are no restrictions - is n! (n factorial).
Multiple Ratios
Prices & Quantities
Use a population chart
Simple Factorials
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
3-Set Problems: Venn Diagrams
Multiple Ratios
Combinatorics & the Domino Effect
Typical rate (speed) relations
19. 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
Prices & Quantities
Probability: Multiple Events
Multiple Ratios
Optimization
20. 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
The Unknown Multiplier
Probability: Multiple Events
Population Problems
Overlapping Sets & Algebraic Representation
21. 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
Basic Work Problems
Optimization
Rates & Work Problems
Overlapping Sets & Percents
22. 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.
Average Rate: RTD Problems
Main forms of rate problems
Rates & Work Problems
Multiple Arrangements
23. 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
Overlapping Sets: Double-Set Matrix
Translating Words Correctly
Arrangements with Constraints
Combinatorics & Probability
24. 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
Main forms of rate problems
Equations for Exponential Growth or Decay
Standard Deviation (SD)
25. 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^(
Equations for Exponential Growth or Decay
Proportions
Overlapping Sets: Double-Set Matrix
Optimization
26. 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
Hidden Constraints
Disguised Combinatorics
Overlapping Sets & Percents
Scheduling
27. The order a ratio is given in is vital. To avoid reversals - always write units on either the ratio or the variables.
Overlapping Sets & Percents
Shortcuts for Averages
Equations for Exponential Growth or Decay
Proportions
28. 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
Equations for Exponential Growth or Decay
Sample Multiple RTD Problems
Overlapping Sets: Double-Set Matrix
29. 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
Combinatorics & Probability
Anagram Grids
Multiple Arrangements
Probability
30. 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
Multiple Arrangements
The Unknown Multiplier
Combinatorics & the Domino Effect
Overlapping Sets: Double-Set Matrix
31. 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
Overlapping Sets & Algebraic Representation
Multiple RTD Problems
Optimization & Grouping
Standard Deviation (SD)
32. 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
Overlapping Sets & Percents
Prices & Quantities
Optimization
Reforming Difficult Problems
33. 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
Standard Deviation (SD)
Multiple Ratios
Typical rate (speed) relations
34. 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 Unknown Multiplier
Arrangements with Constraints
Scheduling & Computation Problems
The 1-x Probability Trick
35. 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
Overlapping Sets & Algebraic Representation
Ratios
Standard Deviation (SD)
The Unknown Multiplier
36. 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
Concrete values
3-Set Problems: Venn Diagrams
Combination & Permutation Formulas
Probability Trees
37. 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)
Simple ratio problems
Shortcuts for Averages
Working Together - Add the Rates
38. 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
Simple Factorials
Average Rate: RTD Problems
Rates & Work Problems
Combination & Permutation Formulas
39. 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.
Simple ratio problems
Algebraic Translations
Combinatorics
Probability Trees
40. 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
Hidden Constraints
Probability
Standard Deviation (SD)
Optimization & Grouping
41. 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
Disguised Combinatorics
Median
Typical rate (speed) relations
42. 1. Basic motion problems 2. Average rate problems 3. Simultaneous motion problems 4. Work problems 5. Population problems
Optimization
Main forms of rate problems
Average Rate: RTD Problems
Averages
43. 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
Optimization & Grouping
Shortcuts for Averages
Reforming Difficult Problems
Sample Multiple RTD Problems
44. 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
Overlapping Sets & Percents
Grouping
Optimization & Grouping
Concrete values
45. Scheduling: focus on the extreme possibilities (earliest/latest time slots). Read the problem carefully!
Scheduling & Computation Problems
Basic Work Problems
Grouping
Weighted Averages
46. = 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.
Basic Work Problems
Combination & Permutation Formulas
Main forms of rate problems
Averages
47. 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.
Basic Motion - The RTD Chart
Multiple Ratios
Algebraic Translations
Reforming Difficult Problems
48. 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
Simple Factorials
Disguised Combinatorics
Weighted Averages
Slot Method (for problems where certain choices are restricted)
49. 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.
Optimization
Probability Trees
Working Together - Add the Rates
Shortcuts for Averages
50. 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
Entirely Unknown Sets
Average Rate: RTD Problems
Combinatorics