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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. 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^(
3-Set Problems: Venn Diagrams
Scheduling & Computation Problems
Equations for Exponential Growth or Decay
Typical time relations
2. 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
Entirely Unknown Sets
Rates & Work Problems
3-Set Problems: Venn Diagrams
3. 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
Scheduling & Computation Problems
Averages
Rates & Work Problems
Combinatorics & Probability
4. 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
Arrangements with Constraints
Anagrams
Use Charts to Organize Variables
Overlapping Sets & Percents
5. Slower/faster - left... and met/arrived at
Prices & Quantities
Standard Deviation (SD)
Typical time relations
Hidden Constraints
6. 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
Use Charts to Organize Variables
The 1-x Probability Trick
Computation problems
Overlapping Sets & Percents
7. 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
Arrangements with Constraints
Overlapping Sets & Percents
Hidden Constraints
Standard Deviation (SD)
8. 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
Equations for Exponential Growth or Decay
The Unknown Multiplier
Working Together - Add the Rates
Combinatorics & the Domino Effect
9. 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
Average Rate: RTD Problems
The 1-x Probability Trick
Weighted Averages
Basic Motion - The RTD Chart
10. 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
Combination & Permutation Formulas
Averages
Optimization & Grouping
11. 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
Equations for Exponential Growth or Decay
Multiple Arrangements
Averages: Evenly Spaced Sets
Slot Method (for problems where certain choices are restricted)
12. Scheduling: focus on the extreme possibilities (earliest/latest time slots). Read the problem carefully!
Population Problems
Weighted Averages
Probability
Scheduling & Computation Problems
13. 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
Ratios
Weighted Averages
Arrangements with Constraints
3-Set Problems: Venn Diagrams
14. 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
Use a population chart
Averages: Evenly Spaced Sets
Rates & Work Problems
Optimization & Grouping
15. Marked by 3 primary components: rate - time & distance or work. Rate x Time = Distance (RT=D) Rate x Time= Work (RT = W)
Basic Motion - The RTD Chart
Rates & Work Problems
Equations for Exponential Growth or Decay
The 1-x Probability Trick
16. 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
Working Together - Add the Rates
Overlapping Sets: Double-Set Matrix
Prices & Quantities
Basic Motion - The RTD Chart
17. 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
Scheduling & Computation Problems
Translating Words Correctly
Probability
Overlapping Sets: Double-Set Matrix
18. 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)!
Combinatorics & Probability
Rates & Work Problems
Averages: Evenly Spaced Sets
Combination & Permutation Formulas
19. 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.
Anagrams
Standard Deviation (SD)
Prices & Quantities
Shortcuts for Averages
20. If switching elements in a chosen set creates a different set - it is a ______________. There are usually fewer combinations than permutations.
Reforming Difficult Problems
Permutation
Probability Trees
Scheduling
21. 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.
Averages
The 1-x Probability Trick
Simple Factorials
Multiple Arrangements
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
Averages: Evenly Spaced Sets
Multiple Arrangements
Scheduling
Median
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
Disguised Combinatorics
Concrete values
Combinatorics & the Domino Effect
24. 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.
Optimization & Grouping
Entirely Unknown Sets
Probability
Multiple Ratios
25. For counting the possible number of ways of putting n distinct objects in order - if there are no restrictions - is n! (n factorial).
Population Problems
Simple Factorials
Overlapping Sets & Percents
Translating Words Correctly
26. 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
Optimization
Averages: Evenly Spaced Sets
Hidden Constraints
Typical time relations
27. The order a ratio is given in is vital. To avoid reversals - always write units on either the ratio or the variables.
Use Charts to Organize Variables
Basic Motion - The RTD Chart
Proportions
Overlapping Sets & Percents
28. 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
Combinatorics & Probability
Entirely Unknown Sets
Combinatorics
Use Charts to Organize Variables
29. 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
Overlapping Sets & Percents
Combinatorics
Reforming Difficult Problems
Standard Deviation (SD)
30. 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
Use Charts to Organize Variables
Proportions
Overlapping Sets & Percents
Optimization & Grouping
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.
Combinatorics
Translating Words Correctly
Combination & Permutation Formulas
Probability Trees
32. Twice/half/n times as fast as - slower/faster - relative rates
Concrete values
Typical rate (speed) relations
Scheduling & Computation Problems
Simple Factorials
33. Put people or items into groups to maximize or minimize a characteristic in the group.
Grouping
Optimization & Grouping
Slot Method (for problems where certain choices are restricted)
Proportions
34. 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
Overlapping Sets & Percents
Population Problems
Equations for Exponential Growth or Decay
35. 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
Population Problems
Prices & Quantities
Combinatorics
Anagrams
36. 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
Typical rate (speed) relations
Use a population chart
Averages
Anagram Grids
37. = 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
The Unknown Multiplier
Weighted Averages
Ratios
38. 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
Typical rate (speed) relations
Grouping
Optimization & Grouping
Averages: Evenly Spaced Sets
39. 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.
Anagrams
Ratios
Anagram Grids
Simple ratio problems
40. 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
Anagram Grids
Use a population chart
3-Set Problems: Venn Diagrams
Disguised Combinatorics
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
Slot Method (for problems where certain choices are restricted)
Averages: Evenly Spaced Sets
Typical rate (speed) relations
42. 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.
Typical rate (speed) relations
Algebraic Translations
Probability
The Unknown Multiplier
43. Maximize or minimize a quantity by choosing optimal values.
Disguised Combinatorics
Multiple RTD Problems
Probability Trees
Optimization
44. Some population that typically increases by a common factor every time period.
Population Problems
Computation problems
Disguised Combinatorics
Rates & Work Problems
45. 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
Arrangements with Constraints
Overlapping Sets & Algebraic Representation
Scheduling & Computation Problems
Hidden Constraints
46. 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
Average Rate: RTD Problems
Combinatorics & Probability
Scheduling
Sample Multiple RTD Problems
47. 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.
Reforming Difficult Problems
Population Problems
Basic Motion - The RTD Chart
Use a population chart
48. Difficult problems involve rates - times and distances for more than one trip or traveler - expand the RTD chart by adding rows for each trip.
Entirely Unknown Sets
Slot Method (for problems where certain choices are restricted)
Grouping
Multiple RTD Problems
49. 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
Averages: Evenly Spaced Sets
Permutation
Multiple Arrangements
The Unknown Multiplier
50. 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
Working Together - Add the Rates
Multiple Arrangements
Average Rate: RTD Problems
Rates & Work Problems