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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. 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
Scheduling
Sample Multiple RTD Problems
Anagram Grids
Averages: Evenly Spaced Sets
2. 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
Simple Factorials
Overlapping Sets: Double-Set Matrix
3-Set Problems: Venn Diagrams
Combination & Permutation Formulas
3. 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
Combinatorics & the Domino Effect
Proportions
Basic Work Problems
4. Difficult problems involve rates - times and distances for more than one trip or traveler - expand the RTD chart by adding rows for each trip.
Combinatorics
Computation problems
Multiple RTD Problems
Probability Trees
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
Working Together - Add the Rates
Entirely Unknown Sets
Optimization
Slot Method (for problems where certain choices are restricted)
6. Marked by 3 primary components: rate - time & distance or work. Rate x Time = Distance (RT=D) Rate x Time= Work (RT = W)
Weighted Averages
Working Together - Add the Rates
Rates & Work Problems
The Unknown Multiplier
7. 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
Main forms of rate problems
Basic Work Problems
Scheduling & Computation Problems
Averages
8. 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
Combinatorics & Probability
Proportions
Simple Factorials
Median
9. 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
Main forms of rate problems
Ratios
Entirely Unknown Sets
10. 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
Optimization
Weighted Averages
Probability Trees
Shortcuts for Averages
11. 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
Multiple RTD Problems
Equations for Exponential Growth or Decay
Combinatorics & the Domino Effect
Main forms of rate problems
12. Scheduling: focus on the extreme possibilities (earliest/latest time slots). Read the problem carefully!
Scheduling & Computation Problems
Population Problems
Combination & Permutation Formulas
Overlapping Sets: Double-Set Matrix
13. 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
Concrete values
Probability Trees
Entirely Unknown Sets
Simple Factorials
14. 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
Simple ratio problems
Ratios
Translating Words Correctly
Anagrams
15. 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
Slot Method (for problems where certain choices are restricted)
The Unknown Multiplier
Disguised Combinatorics
Weighted Averages
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.
Prices & Quantities
Computation problems
Weighted Averages
Multiple Arrangements
17. 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
Anagrams
Median
Sample Multiple RTD Problems
Use Charts to Organize Variables
18. 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
Average Rate: RTD Problems
Arrangements with Constraints
Typical time relations
Multiple RTD Problems
19. 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.
Typical time relations
Multiple Ratios
Multiple RTD Problems
Rates & Work Problems
20. 1. Basic motion problems 2. Average rate problems 3. Simultaneous motion problems 4. Work problems 5. Population problems
Permutation
Hidden Constraints
Main forms of rate problems
Algebraic Translations
21. 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 & Computation Problems
Multiple Arrangements
Overlapping Sets: Double-Set Matrix
22. 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
Equations for Exponential Growth or Decay
Anagram Grids
Combinatorics & Probability
Combination & Permutation Formulas
23. 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
Multiple Arrangements
Combinatorics & Probability
Scheduling
24. 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.
Combination & Permutation Formulas
Overlapping Sets & Algebraic Representation
Shortcuts for Averages
Basic Motion - The RTD Chart
25. 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
Typical rate (speed) relations
Standard Deviation (SD)
The Unknown Multiplier
Slot Method (for problems where certain choices are restricted)
26. 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
Population Problems
Equations for Exponential Growth or Decay
Computation problems
Typical time relations
27. 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: Double-Set Matrix
Overlapping Sets & Percents
Population Problems
Permutation
28. = 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.
Rates & Work Problems
The Unknown Multiplier
Probability: Multiple Events
Averages
29. 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)!
Prices & Quantities
Combination & Permutation Formulas
Multiple Ratios
Overlapping Sets: Double-Set Matrix
30. The order a ratio is given in is vital. To avoid reversals - always write units on either the ratio or the variables.
Grouping
Proportions
Simple ratio problems
Translating Words Correctly
31. 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.
Algebraic Translations
Use a population chart
Probability: Multiple Events
Reforming Difficult Problems
32. 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
Rates & Work Problems
Entirely Unknown Sets
Overlapping Sets: Double-Set Matrix
Proportions
33. 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
Multiple Ratios
Computation problems
Anagrams
Median
34. If switching elements in a chosen set creates a different set - it is a ______________. There are usually fewer combinations than permutations.
Simple ratio problems
Basic Work Problems
Permutation
Simple Factorials
35. 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
Combination & Permutation Formulas
Population Problems
Permutation
36. 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
Slot Method (for problems where certain choices are restricted)
Permutation
Equations for Exponential Growth or Decay
Average Rate: RTD Problems
37. 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
Prices & Quantities
Disguised Combinatorics
Averages
Scheduling & Computation Problems
38. 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
Translating Words Correctly
Probability
Slot Method (for problems where certain choices are restricted)
Simple ratio problems
39. 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
Proportions
Probability
Prices & Quantities
40. 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
Working Together - Add the Rates
Proportions
Combinatorics & Probability
Overlapping Sets & Algebraic Representation
41. 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
Median
Optimization & Grouping
Multiple Arrangements
42. 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.
Shortcuts for Averages
Combination & Permutation Formulas
Entirely Unknown Sets
Proportions
43. Slower/faster - left... and met/arrived at
Averages
Typical time relations
Multiple Arrangements
Use Charts to Organize Variables
44. 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
Probability Trees
Combinatorics
Prices & Quantities
Averages: Evenly Spaced Sets
45. Some population that typically increases by a common factor every time period.
Population Problems
Sample Multiple RTD Problems
The Unknown Multiplier
Computation problems
46. 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
Averages: Evenly Spaced Sets
Working Together - Add the Rates
Arrangements with Constraints
Probability
47. 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' --
Rates & Work Problems
Averages
The 1-x Probability Trick
Probability: Multiple Events
48. 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.
Combinatorics
Working Together - Add the Rates
Translating Words Correctly
Overlapping Sets: Double-Set Matrix
49. 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.
Proportions
Sample Multiple RTD Problems
Reforming Difficult Problems
Equations for Exponential Growth or Decay
50. 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
Multiple RTD Problems
Scheduling
Use Charts to Organize Variables
Optimization & Grouping