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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. 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 & Percents
Probability Trees
The Unknown Multiplier
Shortcuts for Averages
2. 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
Main forms of rate problems
Overlapping Sets & Percents
Simple ratio problems
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
Slot Method (for problems where certain choices are restricted)
Grouping
Anagram Grids
Multiple Arrangements
4. 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.
Grouping
Equations for Exponential Growth or Decay
Reforming Difficult Problems
Scheduling & Computation Problems
5. 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
Sample Multiple RTD Problems
Overlapping Sets: Double-Set Matrix
Computation problems
Reforming Difficult Problems
6. 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
Disguised Combinatorics
Combinatorics
Probability Trees
Combinatorics & Probability
7. 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
Use Charts to Organize Variables
Combinatorics & Probability
Working Together - Add the Rates
Multiple RTD Problems
8. Scheduling: focus on the extreme possibilities (earliest/latest time slots). Read the problem carefully!
Scheduling & Computation Problems
Combinatorics & Probability
Weighted Averages
Probability
9. Maximize or minimize a quantity by choosing optimal values.
3-Set Problems: Venn Diagrams
Algebraic Translations
Translating Words Correctly
Optimization
10. The order a ratio is given in is vital. To avoid reversals - always write units on either the ratio or the variables.
Computation problems
Ratios
Proportions
Permutation
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
Basic Work Problems
Multiple RTD Problems
Standard Deviation (SD)
Averages
12. 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
Equations for Exponential Growth or Decay
Overlapping Sets & Percents
Anagrams
Simple ratio problems
13. 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
Working Together - Add the Rates
Standard Deviation (SD)
Simple Factorials
Multiple Ratios
14. 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^(
Ratios
Equations for Exponential Growth or Decay
Hidden Constraints
Standard Deviation (SD)
15. 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
Anagrams
Average Rate: RTD Problems
Arrangements with Constraints
Optimization & Grouping
16. 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
Grouping
Simple ratio problems
Combinatorics
Combinatorics & the Domino Effect
17. 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
Multiple Ratios
Reforming Difficult Problems
Averages: Evenly Spaced Sets
Sample Multiple RTD Problems
18. 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
Probability Trees
Probability: Multiple Events
Sample Multiple RTD Problems
19. 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' --
Main forms of rate problems
The 1-x Probability Trick
Combinatorics & Probability
Multiple Ratios
20. Slower/faster - left... and met/arrived at
Averages
Optimization & Grouping
Typical time relations
Concrete values
21. 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.
Hidden Constraints
Translating Words Correctly
Computation problems
Overlapping Sets & Algebraic Representation
22. 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
Combination & Permutation Formulas
Median
Equations for Exponential Growth or Decay
Prices & Quantities
23. 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
Probability: Multiple Events
Multiple Arrangements
Standard Deviation (SD)
Combinatorics
24. 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
Working Together - Add the Rates
Use Charts to Organize Variables
Shortcuts for Averages
Probability: Multiple Events
25. 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
Proportions
Slot Method (for problems where certain choices are restricted)
The Unknown Multiplier
Optimization & Grouping
26. 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
Probability Trees
Reforming Difficult Problems
Hidden Constraints
27. 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
Arrangements with Constraints
3-Set Problems: Venn Diagrams
Reforming Difficult Problems
Simple Factorials
28. If switching elements in a chosen set creates a different set - it is a ______________. There are usually fewer combinations than permutations.
Median
Translating Words Correctly
Permutation
3-Set Problems: Venn Diagrams
29. 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
Rates & Work Problems
Shortcuts for Averages
Average Rate: RTD Problems
Hidden Constraints
30. Marked by 3 primary components: rate - time & distance or work. Rate x Time = Distance (RT=D) Rate x Time= Work (RT = W)
Typical time relations
Simple Factorials
Rates & Work Problems
Use Charts to Organize Variables
31. 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
Multiple Ratios
Concrete values
Weighted Averages
Overlapping Sets & Algebraic Representation
32. Put people or items into groups to maximize or minimize a characteristic in the group.
Use a population chart
Optimization
Grouping
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
Permutation
Entirely Unknown Sets
Main forms of rate problems
Multiple Arrangements
34. 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.
Combinatorics
Averages: Evenly Spaced Sets
Basic Motion - The RTD Chart
Probability: Multiple Events
35. 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.
Multiple Arrangements
Translating Words Correctly
Probability Trees
Hidden Constraints
36. 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
Entirely Unknown Sets
Anagram Grids
Computation problems
Reforming Difficult Problems
37. 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.
Anagrams
Optimization & Grouping
Use a population chart
Probability Trees
38. 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
Typical rate (speed) relations
Anagram Grids
Population Problems
Probability: Multiple Events
39. 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
Computation problems
Anagram Grids
Entirely Unknown Sets
Ratios
40. Some population that typically increases by a common factor every time period.
Simple ratio problems
Ratios
Shortcuts for Averages
Population Problems
41. 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
Probability: Multiple Events
Weighted Averages
Use a population chart
Overlapping Sets & Algebraic Representation
42. 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
Rates & Work Problems
Scheduling & Computation Problems
Overlapping Sets & Algebraic Representation
Simple Factorials
43. 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 & Probability
The 1-x Probability Trick
Multiple RTD Problems
Basic Work Problems
44. 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
Population Problems
Sample Multiple RTD Problems
Disguised Combinatorics
Simple ratio problems
45. 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)!
Probability Trees
Combination & Permutation Formulas
Simple Factorials
Combinatorics
46. 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
Combinatorics & the Domino Effect
Scheduling
Sample Multiple RTD Problems
Arrangements with Constraints
47. 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
Simple Factorials
Working Together - Add the Rates
48. 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
Average Rate: RTD Problems
Arrangements with Constraints
Multiple Arrangements
Ratios
49. 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
Scheduling
Probability Trees
Entirely Unknown Sets
Arrangements with Constraints
50. 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.
Multiple Ratios
Simple ratio problems
The 1-x Probability Trick
Weighted Averages