GMAT Flashcards: Quant, Verbal & Data Insights Decisions

300 original flashcards for current-format GMAT Quant, Verbal, and Data Insights concepts, cues, and reusable decisions.

Um þennan stokk

GMAT Flashcards: Quant, Verbal & Data Insights Decisions

Build quick recall for the current GMAT with 300 original cards across Quantitative Reasoning, Verbal Reasoning, and Data Insights. The deck focuses on reusable concepts and decisions; full-length practice belongs in official or properly licensed question banks.

What the cards map

  • Quant maps numeric forms, terms, rules, and formulas to their meaning, conditions, or use. Short scenarios ask for the operation, equation, or answer check that fits.
  • Verbal maps passage and argument cues to purpose, scope, evidence, inference, reasoning flaws, and evaluation moves.
  • Data Insights maps targets, constraints, source and display cues, metrics, and evidence states to the interpretation or decision they support. It covers Data Sufficiency, Multi-Source Reasoning, Table Analysis, Graphics Interpretation, and Two-Part Analysis.

Learning order

The mixed sequence keeps all three sections in rotation. Quant foundations come before algebra, models, and strategy checks; passage reading comes before argument evaluation; shared data literacy comes before the five Data Insights formats. Closely related prompts are spaced apart so one card does not cue the next.

Current-format boundary

This deck has no geometry lessons or formula drills, Sentence Correction, or the retired Integrated Reasoning section. It also excludes timing, scoring, test-center policy, full passages, large data sets, and response-pattern tricks.

Every card is an original compact concept or decision prompt. No official or competitor questions, answer choices, explanations, mark schemes, curriculum text, logos, or trade dress were copied or adapted. See the official GMAT exam content and Data Insights preparation guidance for the current exam boundary.

This is an independent, unofficial study resource. It is not affiliated with, endorsed by, or sponsored by the Graduate Management Admission Council (GMAC). GMAT is used only to identify the exam.

Spjöld í þessum stokki

  1. Spjald 1

    Spurning

    Which numerator-and-denominator operation creates an equivalent fraction?

    Svar

    Multiply or divide the numerator and denominator by the same nonzero number. The fraction's value stays unchanged.

  2. Spjald 2

    Spurning

    What does data sufficiency ask you to determine?

    Svar

    Whether the information guarantees one answer. You usually don’t need to calculate that answer.

  3. Spjald 3

    Spurning

    How do you form a passage's main idea?

    Svar

    Combine the passage's central topic with its main claim about that topic. The answer should cover the whole passage at the right level.

  4. Spjald 4

    Spurning

    What does multiplying a decimal by 10ⁿ do when n is a positive integer?

    Svar

    It moves the decimal point n places to the right. Dividing by 10ⁿ moves it n places left.

  5. Spjald 5

    Spurning

    What makes information sufficient for a value question?

    Svar

    It forces exactly one value for the target. Different values that satisfy all conditions make it insufficient.

  6. Spjald 6

    Spurning

    How do you identify the passage's primary purpose?

    Svar

    Name what the author is doing with the topic: explaining, comparing, challenging, defending, or proposing. Keep content and action together.

  7. Spjald 7

    Spurning

    How do you find p percent of a quantity q?

    Svar

    Compute (p/100) × q. Translate “of” as multiplication.

  8. Spjald 8

    Spurning

    How can two valid cases prove insufficiency?

    Svar

    Make the cases produce different answers to the question. One clean counterexample pair is enough.

  9. Spjald 9

    Spurning

    How do you determine a paragraph's role?

    Svar

    Connect the paragraph to what comes before and after it. Decide whether it introduces, supports, qualifies, contrasts, applies, or concludes the larger discussion.

  10. Spjald 10

    Spurning

    A total of 45 is split in the ratio 2:3. What are the two parts?

    Svar

    18 and 27. The five ratio units are worth 45 ÷ 5 = 9 each.

  11. Spjald 11

    Spurning

    Why can an integer restriction change sufficiency?

    Svar

    It removes noninteger possibilities. A range containing many real numbers may contain only one integer.

  12. Spjald 12

    Spurning

    When is a product of signed factors negative?

    Svar

    Provided no factor is zero, an odd number of negative factors gives a negative product, while an even number gives a positive product. If any factor is zero, the product is zero.

  13. Spjald 13

    Spurning

    How should two data-sufficiency statements be tested initially?

    Svar

    Test each statement independently against the stem. Do not carry information from one statement into the other.

  14. Spjald 14

    Spurning

    What makes an integer greater than 1 prime?

    Svar

    It has exactly two positive divisors: 1 and itself.

  15. Spjald 15

    Spurning

    What should you do first on a detail question?

    Svar

    Return to the relevant lines and read their local context. Memory tends to preserve the topic while blurring qualifications.

  16. Spjald 16

    Spurning

    What is the divisibility rule for 2?

    Svar

    The last digit must be even: 0, 2, 4, 6, or 8.

  17. Spjald 17

    Spurning

    How do you test whether a fact is relevant?

    Svar

    Connect it to the requested target. A true fact that does not narrow the target adds no decision value.

  18. Spjald 18

    Spurning

    How far may a reading inference go beyond the text?

    Svar

    Only as far as the text strongly supports. Prefer the smallest justified step and reject claims needing outside knowledge.

  19. Spjald 19

    Spurning

    Why is prime factorization useful in GMAT arithmetic?

    Svar

    It exposes divisibility, factors, greatest common factors, least common multiples, and perfect powers.

  20. Spjald 20

    Spurning

    What must happen before quantities with different units are combined?

    Svar

    First confirm that their dimensions are compatible, then convert them to a common unit. Keep the unit attached through the calculation to catch mismatches.

  21. Spjald 21

    Spurning

    How do you apply a passage principle to a new case?

    Svar

    Extract the principle's required conditions, then test whether the new case has them. Surface similarity isn't enough.

  22. Spjald 22

    Spurning

    Which relationship connects distance, rate, and time?

    Svar

    Distance = rate × time. Rearrange only after the units are compatible.

  23. Spjald 23

    Spurning

    How do you find a least common multiple from prime factorizations?

    Svar

    Take every prime that appears, using the largest exponent present.

  24. Spjald 24

    Spurning

    How do you multiply powers with the same base?

    Svar

    Add the exponents: aᵐ × aⁿ = aᵐ⁺ⁿ.

  25. Spjald 25

    Spurning

    How is a weighted average computed?

    Svar

    Divide the total weighted value by the total weight. For groups, use group size as the weight unless another weight is given.

  26. Spjald 26

    Spurning

    What should a quick passage map record?

    Svar

    Each paragraph's role and major viewpoint, plus the passage's overall direction. Record structure, not a sentence-by-sentence summary.

  27. Spjald 27

    Spurning

    What does the principal square root symbol √x return?

    Svar

    For real x ≥ 0, it is the nonnegative number whose square is x. For example, √9 = 3, not ±3.

  28. Spjald 28

    Spurning

    When can bounds replace exact arithmetic?

    Svar

    When the bounds separate the viable decisions. Stop once every value in the interval leads to the same choice.

  29. Spjald 29

    Spurning

    How do you keep viewpoints separate?

    Svar

    Attach each claim to its speaker: author, critic, researcher, or group. Track agreement, disagreement, and any later qualification.

  30. Spjald 30

    Spurning

    How do “sum,” “product,” and “quotient” translate into algebra?

    Svar

    They mean addition, multiplication, and division, respectively.

  31. Spjald 31

    Spurning

    How do you reduce a fraction to lowest terms?

    Svar

    Divide the numerator and denominator by their greatest common factor.

  32. Spjald 32

    Spurning

    What evidence should determine the author's tone?

    Svar

    Evaluative words, qualifications, and the treatment of competing views. Topic alone doesn't establish approval, concern, or skepticism.

  33. Spjald 33

    Spurning

    When should rounding usually occur?

    Svar

    At the end, unless estimation already settles the decision. Early rounding can move a result across a cutoff.

  34. Spjald 34

    Spurning

    How do you convert a terminating decimal to a fraction?

    Svar

    Write the digits over the matching power of 10, then reduce. For example, 0.375 = 375/1000 = 3/8.

  35. Spjald 35

    Spurning

    When should you stop calculating in a sufficiency problem?

    Svar

    As soon as uniqueness is proved or disproved. More arithmetic cannot change the sufficiency decision.

  36. Spjald 36

    Spurning

    How do you spot an out-of-scope answer?

    Svar

    It introduces a person, period, cause, or consequence the passage doesn't address. Being reasonable doesn't make it textually supported.

  37. Spjald 37

    Spurning

    What is the percent-change formula?

    Svar

    For original > 0, percent change = (new − original) / original × 100%. Percent change from zero is undefined; negative baselines require context-specific interpretation.

  38. Spjald 38

    Spurning

    What makes information sufficient for a yes-or-no question?

    Svar

    It forces the same yes-or-no answer in every valid case. The underlying value may still vary.

  39. Spjald 39

    Spurning

    What preserves a ratio when its quantities are scaled?

    Svar

    Multiplying or dividing both terms by the same nonzero factor preserves the ratio.

  40. Spjald 40

    Spurning

    How do you reject a main-idea answer with the wrong scope?

    Svar

    Compare it with the whole passage. A detail-only answer is too narrow; a claim extending beyond the passage is too broad.

  41. Spjald 41

    Spurning

    Why should you track whether a variable is positive, negative, or zero?

    Svar

    Sign controls valid cases and operations. Squaring can hide sign, and division requires a nonzero denominator.

  42. Spjald 42

    Spurning

    How do you simplify subtraction of a negative number?

    Svar

    Change it to addition: a − (−b) = a + b.

  43. Spjald 43

    Spurning

    Whose purpose matters in a primary-purpose question?

    Svar

    The passage author's purpose. A theory or researcher may be described at length without representing what the author ultimately wants to do.

  44. Spjald 44

    Spurning

    When is the on-screen calculator most useful?

    Svar

    For tedious arithmetic after the setup is clear. It does not replace choosing the right relationship or denominator.

  45. Spjald 45

    Spurning

    In Data Sufficiency, what stem information applies when testing either statement?

    Svar

    Everything in the question stem. Stem facts remain active for each statement and for the combination.

  46. Spjald 46

    Spurning

    What is the divisibility rule for 3?

    Svar

    The sum of the digits must be divisible by 3.

  47. Spjald 47

    Spurning

    What does a transition paragraph often do?

    Svar

    It closes one line of thought and sets up the next. Its role depends on both sides, not only on its first sentence.

  48. Spjald 48

    Spurning

    When is a proxy measure useful?

    Svar

    When evidence shows it reliably tracks the target for the intended decision. Correlation may support prediction, but it proves neither causation nor suitability on its own.

  49. Spjald 49

    Spurning

    How do you find a greatest common factor from prime factorizations?

    Svar

    Take each shared prime to the smaller exponent.

  50. Spjald 50

    Spurning

    What is the arithmetic mean?

    Svar

    The sum of the values divided by the number of values.

  51. Spjald 51

    Spurning

    What units should a rate have?

    Svar

    One quantity per another, such as kilometers per hour. The denominator tells you what the rate is measured against.

  52. Spjald 52

    Spurning

    How do you divide powers with the same nonzero base?

    Svar

    Subtract the exponents: aᵐ ÷ aⁿ = aᵐ⁻ⁿ.

  53. Spjald 53

    Spurning

    What makes a paraphrase faithful to a passage detail?

    Svar

    It preserves the original meaning, scope, and certainty in different words. Shared keywords alone don't make it accurate.

  54. Spjald 54

    Spurning

    How do you recover a total from an average?

    Svar

    Total = average × number of values.

  55. Spjald 55

    Spurning

    How do you choose between two plausible reading inferences?

    Svar

    Choose the one with the tighter textual chain and fewer assumptions. Plausibility in the real world is secondary.

  56. Spjald 56

    Spurning

    What quick check can catch a calculator-entry error?

    Svar

    Estimate the order of magnitude and direction first. An exact result far outside that range deserves another look.

  57. Spjald 57

    Spurning

    How do you simplify a square root with a perfect-square factor?

    Svar

    Factor out the perfect square. For example, √72 = √(36 × 2) = 6√2.

  58. Spjald 58

    Spurning

    What makes a new example parallel to one in the passage?

    Svar

    The same logical relationship. Match cause, contrast, exception, or function rather than shared subject matter.

  59. Spjald 59

    Spurning

    When can work rates be added?

    Svar

    Add the stated constant rates when the workers operate simultaneously without interfering with one another. At 1/4 and 1/6 job per hour, together they complete 5/12 job per hour.

  60. Spjald 60

    Spurning

    What is the denominator in a percent comparison?

    Svar

    The stated reference value. “A as a percent of B” means A divided by B, then multiplied by 100.

  61. Spjald 61

    Spurning

    How do you translate “5 less than x”?

    Svar

    x − 5. The phrase “less than” reverses the spoken order.

  62. Spjald 62

    Spurning

    In Data Sufficiency, what should you check before testing values?

    Svar

    The full domain. Honor stated restrictions and implicit ones such as positive lengths or nonzero divisors before judging sufficiency.

  63. Spjald 63

    Spurning

    How do you add fractions with different denominators?

    Svar

    Rewrite them with a common denominator, then add the numerators. For example, 2/3 + 1/4 = 8/12 + 3/12 = 11/12.

  64. Spjald 64

    Spurning

    How do you distinguish description from argument in a passage?

    Svar

    Description presents what happened or what a view says; argument gives reasons to accept, reject, or revise a claim.

  65. Spjald 65

    Spurning

    How should you compare decimals with different lengths?

    Svar

    Append trailing zeros and compare place by place. For example, compare 0.47 with 0.4700, which are equal.

  66. Spjald 66

    Spurning

    How should combined statements be evaluated?

    Svar

    Intersect their constraints with the stem. The combination is sufficient only if every remaining case gives one answer.

  67. Spjald 67

    Spurning

    How do you find common ground between two viewpoints?

    Svar

    Look for the narrow claim both accept, even if they disagree about its cause, importance, or implications.

  68. Spjald 68

    Spurning

    How do you solve a proportion such as a/b = c/d?

    Svar

    Cross-multiply to get ad = bc, provided b and d are nonzero.

  69. Spjald 69

    Spurning

    How is average speed computed?

    Svar

    Total distance divided by total time. It is not usually the simple mean of the segment speeds.

  70. Spjald 70

    Spurning

    What does |x| represent?

    Svar

    The nonnegative distance from x to 0 on the number line.

  71. Spjald 71

    Spurning

    Why are strongly emotional tone descriptions often wrong?

    Svar

    They overstate measured academic prose. Match the answer's intensity to the author's actual language.

  72. Spjald 72

    Spurning

    What is the divisibility rule for 4?

    Svar

    The number formed by the last two digits must be divisible by 4.

  73. Spjald 73

    Spurning

    Can the ordinary percent-change formula be applied directly when the original value is zero or negative?

    Svar

    No. The ordinary GMAT rule assumes original > 0. Change from zero is undefined, and a negative baseline requires context-specific interpretation.

  74. Spjald 74

    Spurning

    Why can a true statement still be a wrong answer?

    Svar

    It may not answer the question asked. Check the task—main idea, detail, inference, role, or purpose—before checking truth.

  75. Spjald 75

    Spurning

    When must a weighted average lie between its component values?

    Svar

    When every weight is nonnegative and the total weight is positive. The average then lies between the smallest and largest component values.

  76. Spjald 76

    Spurning

    How do you express an integer n divided by d with remainder r?

    Svar

    n = dq + r, where q is an integer and 0 ≤ r < d for positive d.

  77. Spjald 77

    Spurning

    What does an inequality usually provide?

    Svar

    A range, not a unique value. It can still be sufficient if the question asks whether a threshold is crossed.

  78. Spjald 78

    Spurning

    How should you handle an EXCEPT detail prompt?

    Svar

    Verify four statements against the passage and select the one that isn't supported. Keep the reversed task visible while checking each choice.

  79. Spjald 79

    Spurning

    How should you set up a unit conversion?

    Svar

    Multiply by a conversion factor equal to 1, placing units so the unwanted unit cancels.

  80. Spjald 80

    Spurning

    Can two individually insufficient statements remain insufficient together?

    Svar

    Yes. They may repeat the same limitation or still leave multiple valid answers.

  81. Spjald 81

    Spurning

    For a positive base, how do you simplify a power raised to another power?

    Svar

    Multiply the exponents: (aᵐ)ⁿ = a^(mn).

  82. Spjald 82

    Spurning

    When can you infer that an author accepts a claim?

    Svar

    When the author endorses it directly or relies on it without distancing language. Merely reporting another person's view isn't endorsement.

  83. Spjald 83

    Spurning

    How should successive percentage changes be combined?

    Svar

    Multiply their factors. A 10% rise followed by a 10% fall gives 1.10 × 0.90 = 0.99, a 1% net fall.

  84. Spjald 84

    Spurning

    What are compatible numbers in estimation?

    Svar

    Nearby numbers chosen to make mental arithmetic easy, such as 203 ÷ 9.9 ≈ 200 ÷ 10 = 20.

  85. Spjald 85

    Spurning

    Which constraints are easy to overlook in a word problem?

    Svar

    Countability, positivity, distinctness, and capacity limits. Translate each noun and rule into a usable constraint.

  86. Spjald 86

    Spurning

    How do you state the exact disagreement between two viewpoints?

    Svar

    Identify one claim that one side accepts and the other rejects. Don't substitute a topic that only one side discusses.

  87. Spjald 87

    Spurning

    How do you represent three consecutive integers?

    Svar

    n, n + 1, and n + 2 for an integer n.

  88. Spjald 88

    Spurning

    How do percentage points differ from percent change?

    Svar

    Percentage points are the direct difference between percentages. Moving from 20% to 25% is 5 points and a 25% relative increase.

  89. Spjald 89

    Spurning

    What is a reversed-relationship trap?

    Svar

    It swaps cause and effect, support and conclusion, or the positions of two viewpoints while reusing familiar passage language.

  90. Spjald 90

    Spurning

    How do you multiply two fractions?

    Svar

    Multiply numerator by numerator and denominator by denominator, canceling common factors when convenient.

  91. Spjald 91

    Spurning

    How do direct and inverse proportion differ?

    Svar

    Direct: y = kx; inverse: y = k/x for x ≠ 0.

  92. Spjald 92

    Spurning

    How do you recover an original value after a percentage increase?

    Svar

    Divide the new value by the growth factor. After a 20% increase, original = new ÷ 1.20.

  93. Spjald 93

    Spurning

    When should absolute wording raise suspicion?

    Svar

    When the passage is qualified. Words such as always, never, entirely, and impossible require equally strong textual support.

  94. Spjald 94

    Spurning

    What should you identify first in Data Sufficiency?

    Svar

    The exact target and answer type. Decide whether the stem asks for a value, a comparison, or a yes-or-no result.

  95. Spjald 95

    Spurning

    What ending makes an integer divisible by 5 or by 10?

    Svar

    A last digit of 0 or 5 gives divisibility by 5; a last digit of 0 gives divisibility by 10.

  96. Spjald 96

    Spurning

    How should a Data Sufficiency condition be handled?

    Svar

    Translate it into a precise constraint before testing sufficiency. Keep it separate from the conclusion you want.

  97. Spjald 97

    Spurning

    How do you reject a half-right answer?

    Svar

    Test every part of it. One accurate clause can't rescue a second clause that distorts the passage or exceeds its scope.

  98. Spjald 98

    Spurning

    When you convert a positive measurement to a smaller linear unit, what happens to its numerical value?

    Svar

    It increases. Multiply by the number of smaller units in one larger unit.

  99. Spjald 99

    Spurning

    DS example: Is x > 5? Statement: x > 3. Is the statement sufficient?

    Svar

    No. Both x = 4 and x = 6 satisfy the statement, but they answer the stem differently.

  100. Spjald 100

    Spurning

    What is a⁰ when a is nonzero?

    Svar

    1. The nonzero-base condition matters because 0⁰ is not assigned this rule.
  101. Spjald 101

    Spurning

    Which claim is the argument trying to establish?

    Svar

    The main conclusion. Find the claim supported by the other statements, then check that it answers the argument's central issue.

  102. Spjald 102

    Spurning

    When should the two statements be combined?

    Svar

    When neither statement is sufficient alone. Use both constraints at once and test the remaining possibilities.

  103. Spjald 103

    Spurning

    A positive number rounds to 8.2 to the nearest tenth. What interval contains it?

    Svar

    8.15 ≤ x < 8.25. The lower endpoint rounds up to 8.2; the upper endpoint rounds to 8.3.

  104. Spjald 104

    Spurning

    What should you check when the conclusion changes populations?

    Svar

    Whether the evidence applies to the new population. Results from volunteers, specialists, or one age group may not transfer to everyone.

  105. Spjald 105

    Spurning

    How should test values be chosen in Data Sufficiency?

    Svar

    Choose valid values that probe boundaries, signs, and distinct outcomes. Random easy values can miss the deciding case.

  106. Spjald 106

    Spurning

    How do you translate “A is 30% more than B”?

    Svar

    A = 1.30B. The percentage is based on B.

  107. Spjald 107

    Spurning

    When can one equation involving two variables be sufficient for a target?

    Svar

    When every valid solution gives the same target value, even if neither variable is unique. For example, x + y = 10 is sufficient to determine x + y.

  108. Spjald 108

    Spurning

    What does a correlation establish by itself?

    Svar

    Only that two things vary together. It doesn't establish which one causes the other or whether a third factor causes both.

  109. Spjald 109

    Spurning

    How do you divide by a nonzero fraction?

    Svar

    Multiply by its reciprocal. For example, 3/5 ÷ 2/7 = 3/5 × 7/2.

  110. Spjald 110

    Spurning

    Why is a ratio often insufficient for an absolute value?

    Svar

    A ratio fixes relative size but usually leaves the scale free. Many proportional pairs can share the same ratio.

  111. Spjald 111

    Spurning

    What is the divisibility rule for 9?

    Svar

    The sum of the digits must be divisible by 9.

  112. Spjald 112

    Spurning

    What matters most when applying a sample result to a population?

    Svar

    Representativeness. The sample must resemble the target population on traits that could affect the result.

  113. Spjald 113

    Spurning

    What should you check after solving a squared equation?

    Svar

    Check every allowed root. If positive and negative roots produce different target answers, the information is insufficient.

  114. Spjald 114

    Spurning

    What does a negative exponent mean?

    Svar

    It takes the reciprocal: a⁻ⁿ = 1/aⁿ for nonzero a.

  115. Spjald 115

    Spurning

    Which baseline makes a comparison informative?

    Svar

    The baseline relevant to the claim. Compare the outcome with what would otherwise have happened, not merely with an unrelated earlier figure.

  116. Spjald 116

    Spurning

    What risk appears when an equation factors into multiple branches?

    Svar

    Each branch may create valid cases. Test all branches against the stem before deciding sufficiency.

  117. Spjald 117

    Spurning

    How can you compare two positive fractions quickly?

    Svar

    Compare their cross-products. For a/b and c/d with positive denominators, compare ad with bc.

  118. Spjald 118

    Spurning

    What may be assumed from a Data Sufficiency diagram?

    Svar

    Only marked or stated facts. Do not infer scale, equality, perpendicularity, or midpoint status from appearance.

  119. Spjald 119

    Spurning

    What multiplier represents a p percent increase or decrease?

    Svar

    Use 1 + p/100 for an increase and 1 − p/100 for a decrease.

  120. Spjald 120

    Spurning

    Which statements count as evidence?

    Svar

    The statements offered as reasons to accept another claim. Evidence may be factual or assumed for the argument, even if it isn't proven in real life.

  121. Spjald 121

    Spurning

    Can a mean determine an individual observation?

    Svar

    Not by itself. A mean fixes the total, but different sets can have that total unless more constraints apply.

  122. Spjald 122

    Spurning

    What weakens a move from past evidence to a present claim?

    Svar

    A relevant change over time. New technology, prices, rules, or behavior can make the earlier evidence a poor guide.

  123. Spjald 123

    Spurning

    A value becomes 96 after a 20% increase. What was the original value?

    Svar

    1. Divide the final value by the growth multiplier: 96 ÷ 1.2 = 80.
  124. Spjald 124

    Spurning

    How do extreme valid cases help in Data Sufficiency?

    Svar

    They expose whether the target can change. Test the smallest, largest, or boundary cases allowed by the conditions.

  125. Spjald 125

    Spurning

    How do you test for reverse causation?

    Svar

    Ask whether the alleged effect could instead cause the alleged cause. Productive teams may meet more because they are productive, not the reverse.

  126. Spjald 126

    Spurning

    Must a sufficient statement make every variable unique?

    Svar

    No. It only needs to make the requested target unique, even if other variables remain undetermined.

  127. Spjald 127

    Spurning

    A price rises 20% and then falls 20%. Does it return to its original value?

    Svar

    No. The multipliers give 1.20 × 0.80 = 0.96, so the final price is 4% below the original.

  128. Spjald 128

    Spurning

    Why can a voluntary survey be biased?

    Svar

    People who choose to respond may differ from those who don't. Strong opinions or extra interest can distort the sample.

  129. Spjald 129

    Spurning

    How do you expand a(b + c)?

    Svar

    ab + ac. The outside factor multiplies every term inside the parentheses.

  130. Spjald 130

    Spurning

    What should the final Data Sufficiency decision describe?

    Svar

    Which information set guarantees an answer. It should not report the target’s numerical value.

  131. Spjald 131

    Spurning

    What is the goal when solving a linear equation?

    Svar

    Isolate the variable by applying equivalent operations to both sides.

  132. Spjald 132

    Spurning

    DS example: Is integer n even? Statement: n = 7. Is the statement sufficient?

    Svar

    Yes. It guarantees one answer—no. A statement can be sufficient even when that answer is negative.

  133. Spjald 133

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    When must an inequality sign reverse?

    Svar

    When both sides are multiplied or divided by a negative number.

  134. Spjald 134

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    What must be checked before comparing two groups?

    Svar

    Whether they differ in other relevant ways. Age, experience, starting level, or incentives may explain the outcome instead.

  135. Spjald 135

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    When is substitution preferable to elimination in a two-equation system?

    Svar

    Use substitution when one variable is already isolated or easy to isolate; use elimination when coefficients cancel easily.

  136. Spjald 136

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    What should you build before analyzing Multi-Source Reasoning material?

    Svar

    A quick source map. Note what each tab or document contains, who produced it, and the relevant date or scope.

  137. Spjald 137

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    How do you separate background from evidence?

    Svar

    Ask whether the statement supports a claim. Background sets context; evidence does logical work in moving the argument toward a conclusion.

  138. Spjald 138

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    Which algebraic terms can be combined?

    Svar

    Terms with the same variable part and exponents. For example, 3x² and −5x² combine, but 3x² and 3x do not.

  139. Spjald 139

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    When should you read the Multi-Source Reasoning question?

    Svar

    Before a deep read of every source. The question tells you which details deserve attention.

  140. Spjald 140

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    What is a reliable first step for an equation containing several fractions?

    Svar

    Multiply every term by the least common denominator, then solve the simpler equation.

  141. Spjald 141

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    Why does source provenance matter?

    Svar

    It defines what a claim can support. An internal forecast and an audited result do not carry the same evidentiary weight.

  142. Spjald 142

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    What should you test when evidence comes from a different setting?

    Svar

    Whether the settings differ in a way that affects the result. A finding from one market, school, or climate may not carry over unchanged.

  143. Spjald 143

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    What does an “and” compound inequality require?

    Svar

    The overlap of both solution sets. A value must satisfy both conditions.

  144. Spjald 144

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    What should you compare before combining claims from two sources?

    Svar

    Their population, period, units, and definitions. Matching labels can hide different scopes.

  145. Spjald 145

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    How can a third factor undermine a causal claim?

    Svar

    It may explain both events, so their correlation no longer establishes a direct causal link by itself. Hot weather can raise both cold-drink sales and pool attendance.

  146. Spjald 146

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    What do one, zero, or infinitely many solutions mean for two linear equations in two variables?

    Svar

    The lines intersect once, are parallel and distinct, or are the same line, respectively.

  147. Spjald 147

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    How should records from separate sources be linked?

    Svar

    Use a shared key with the same meaning in both sources, such as product code and month. Do not join on a vague label alone.

  148. Spjald 148

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    How do you factor 6x + 9?

    Svar

    3(2x + 3). Pull out the greatest common factor.

  149. Spjald 149

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    When does nonresponse threaten a survey result?

    Svar

    When nonrespondents may answer differently from respondents. A high response count doesn't fix a systematic missing group.

  150. Spjald 150

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    What is the first step when two sources seem inconsistent?

    Svar

    Compare definitions, dates, units, and aggregation levels. Many apparent conflicts come from mismatched frames.

    Abstract study workspace with blue number blocks, amber argument notes, and teal charts around a central light.

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  151. Spjald 151

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    When can you use the zero-product property?

    Svar

    After rewriting a product equal to zero. If (x − 2)(x + 5) = 0, then x = 2 or x = −5.

  152. Spjald 152

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    How does an inference differ from a stated fact?

    Svar

    A fact appears directly in a source; an inference must follow from the sources without an extra assumption.

  153. Spjald 153

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    Does a higher percentage by itself prove a higher count?

    Svar

    No. The underlying totals matter. Twenty percent of 1,000 is more than fifty percent of 100.

  154. Spjald 154

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    What does an “or” compound inequality require?

    Svar

    The union of the solution sets. A value may satisfy either condition or both.

  155. Spjald 155

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    What does a blank or omitted value establish?

    Svar

    Only that the value is not provided. It does not establish zero, no change, or failure.

  156. Spjald 156

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    How do you recognize an intermediate conclusion?

    Svar

    It is supported by one claim and supports another. It acts as both a conclusion and a premise in the same argument.

  157. Spjald 157

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    What should you do before writing equations for a two-quantity word problem?

    Svar

    Define each variable with its unit, then translate one independent relationship per equation.

  158. Spjald 158

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    Why should cross-source events be placed in time order?

    Svar

    Sequence separates prior conditions from later outcomes and prevents using future information as an earlier cause.

  159. Spjald 159

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    When should candidate solutions be checked in the original equation?

    Svar

    Always after a step that may introduce solutions, especially squaring both sides or clearing variable denominators.

  160. Spjald 160

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    How can switching from one measured outcome to another create a gap?

    Svar

    Evidence about one metric may not support a conclusion about another. More website visits, for example, don't by themselves mean more sales.

  161. Spjald 161

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    What makes a source relevant to a claim?

    Svar

    It supplies evidence for a required link in the claim. Related background alone is not enough.

  162. Spjald 162

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    How do you solve a factored polynomial inequality reliably?

    Svar

    Find the zeros, split the number line into intervals, and test each interval's sign. Include a zero only when equality is allowed.

  163. Spjald 163

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    Does happening first prove causation?

    Svar

    No. The timing may fit a causal story, but coincidence or another cause can still explain the later event.

  164. Spjald 164

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    How can you spot an unsupported cross-source conclusion?

    Svar

    Identify the bridge between evidence and conclusion. If the sources never establish that bridge, the conclusion needs an assumption.

  165. Spjald 165

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    What do 0 = 0 and 0 = 5 mean after simplifying an equation?

    Svar

    0 = 0 means every allowed value is a solution; 0 = 5 means there is no solution.

  166. Spjald 166

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    What should you verify before comparing figures from different sources?

    Svar

    Common units and denominators. Convert first, then compare the same quantity on the same basis.

  167. Spjald 167

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    How do you interpret |x − a| < r when r is positive?

    Svar

    x is within r units of a: a − r < x < a + r.

  168. Spjald 168

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    What can a larger sample improve?

    Svar

    Precision, if the sampling method is sound. A huge biased sample can still give a confidently wrong picture of the population.

  169. Spjald 169

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    How should a cross-source recommendation be evaluated?

    Svar

    Apply the stated decision rule to the combined evidence. Do not substitute a personal preference for the rule.

  170. Spjald 170

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    If a worker finishes one job in t hours, what is the worker's hourly rate?

    Svar

    1/t of the job per hour.

  171. Spjald 171

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    What can an average hide?

    Svar

    The distribution. Two groups can share an average while differing sharply in range, concentration, or the number of extreme values.

  172. Spjald 172

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    What should you confirm before submitting a Multi-Source Reasoning answer?

    Svar

    That every required part is supported by the correct source and scope. One unsupported component can invalidate the whole decision.

  173. Spjald 173

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    How do you find the amount of a pure component in a mixture?

    Svar

    Concentration × total mixture amount. A 30% solution with volume 20 contains 0.30 × 20 = 6 units of the component.

  174. Spjald 174

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    What role does a concession usually play?

    Svar

    It acknowledges a point that weighs against the conclusion, then answers that point or limits its relevance. Don't mistake the conceded claim for the argument's main conclusion.

  175. Spjald 175

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    When can an apparent cross-source discrepancy be resolved?

    Svar

    When a stated difference in scope or method explains both figures. If no bridge is given, keep the conflict open.

  176. Spjald 176

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    What is the two-set overlap formula?

    Svar

    In A or B = in A + in B − in both. Subtract the overlap because it was counted twice.

  177. Spjald 177

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    What should you identify first in Table Analysis?

    Svar

    The row unit, column definitions, and any notes. This establishes what one record and each value represent.

  178. Spjald 178

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    What is the fundamental counting principle?

    Svar

    Multiply the choices at successive stages when each stage has a fixed number of available choices.

  179. Spjald 179

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    Why distinguish relative change from absolute change?

    Svar

    Relative change is the percentage change; absolute change is the amount added or lost. A 50% rise from 2 adds 1, while a 10% rise from 1,000 adds 100.

  180. Spjald 180

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    How should a table filter be translated?

    Svar

    Turn it into an exact inclusion rule. Apply every condition before counting or comparing rows.

  181. Spjald 181

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    For equally likely outcomes, what is the basic probability formula?

    Svar

    Favorable outcomes divided by total possible outcomes.

  182. Spjald 182

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    What makes a proposed causal mechanism useful?

    Svar

    It explains how the cause could produce the effect. A plausible, evidence-backed mechanism strengthens the causal link.

  183. Spjald 183

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    How do you find the median?

    Svar

    Order the values and take the middle value; for an even count, average the two middle values.

  184. Spjald 184

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    How should numeric values be sorted?

    Svar

    By numerical value, not digit order. For example, 12 comes after 9 in ascending order.

  185. Spjald 185

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    What is missed when evidence includes only successful cases?

    Svar

    The failures. Studying only surviving firms can make a strategy look safer or more effective than it is.

  186. Spjald 186

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    Two machines have stated constant rates of 1/3 and 1/5 job per hour and operate simultaneously without interference. May their rates be added?

    Svar

    Yes. The stated rates are constant and the machines do not interfere, so their combined rate is 1/3 + 1/5 = 8/15 job per hour.

  187. Spjald 187

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    How should a table ratio be built when filters are involved?

    Svar

    Derive the numerator and denominator separately from the question, then apply each filter only where it is relevant. Do not automatically filter both quantities or default to all rows.

  188. Spjald 188

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    What quantity is conserved when two solutions are mixed without loss?

    Svar

    The amount of the pure component. Set the sum of the starting component amounts equal to the final component amount.

  189. Spjald 189

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    When may table rows be added directly?

    Svar

    Only when they are disjoint parts of the same measure and use compatible units. Overlapping groups would be double-counted.

  190. Spjald 190

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    What does n! mean for a positive integer n?

    Svar

    The product of the positive integers from 1 through n.

  191. Spjald 191

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    Where is the argument's logical gap?

    Svar

    Between the evidence and the conclusion. State what must connect them without merely repeating either side.

  192. Spjald 192

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    How do you find the number in neither of two sets?

    Svar

    Subtract the number in the union from the total population.

  193. Spjald 193

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    How should rates from table groups be combined?

    Svar

    Divide the total numerator by the total denominator. Weight a group rate by its group size only when that size is the rate's denominator.

  194. Spjald 194

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    What is wrong with moving from some cases to all cases?

    Svar

    The conclusion is broader than the evidence. Evidence that some members have a trait doesn't show that every member does.

  195. Spjald 195

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    When should you use a permutation?

    Svar

    When selecting and arranging items and order matters. The number of ordered selections of r from n distinct items is n!/(n − r)!.

  196. Spjald 196

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    Why does table granularity matter?

    Svar

    A row-level fact may disappear or change after aggregation. Match the claim to the table’s level of detail.

  197. Spjald 197

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    How do you find the probability that an event does not occur?

    Svar

    1 − P(event). This is often the quickest route for “at least one” questions.

  198. Spjald 198

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    Why does a comparable control group help test causation?

    Svar

    It shows what happened without the suspected cause. If the groups differ mainly in that factor, the result is harder to explain another way.

  199. Spjald 199

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    How should missing table entries be treated?

    Svar

    As unknown unless the notes define another meaning. Exclude or include them only as the question directs.

  200. Spjald 200

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    What is the mode of a data set?

    Svar

    A mode is any value with the greatest frequency. Under the no-mode convention, there is no mode only when at least two distinct values all have equal frequency.

  201. Spjald 201

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    What makes a table comparison valid?

    Svar

    The values must have compatible measures, units, periods, populations, and definitions. Normalize only validly convertible differences; reject differences in population, period, or definition that cannot be reconciled.

  202. Spjald 202

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    What should you check when a prediction extends a past pattern?

    Svar

    Whether the conditions behind the past pattern will continue. A trend alone doesn't show that its causes will remain in place.

  203. Spjald 203

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    How should a drain or other undoing process enter a work-rate equation?

    Svar

    As a negative rate. Add productive rates and subtract rates that reverse the work.

  204. Spjald 204

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    How can you avoid losing your place while scanning a table?

    Svar

    Evaluate one condition at a time and mark qualifying rows mentally or on the scratchpad. Count only after the final filter.

  205. Spjald 205

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    Can evidence that an outcome is possible show it is likely?

    Svar

    No. Possibility only shows that an outcome can occur; probability requires evidence about how likely it is.

  206. Spjald 206

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    What correction is needed when counting the union of three sets?

    Svar

    Add the three individual counts, subtract all three pairwise overlaps, then add the triple overlap back once.

  207. Spjald 207

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    When does a filtered table support a decision?

    Svar

    When the qualifying rows satisfy the stated rule. Keep filtering, calculation, and decision as separate steps.

  208. Spjald 208

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    When should you use a combination?

    Svar

    When selecting items and order does not matter. The number of selections of r from n distinct items is n!/[r!(n − r)!].

  209. Spjald 209

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    What must support a recommendation?

    Svar

    A link from the proposed action to the stated goal. The argument also needs the action to be feasible and free of costs that defeat the goal.

  210. Spjald 210

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    How do AND and OR change a table filter?

    Svar

    AND requires every condition; OR requires at least one. Parenthesize mixed rules before scanning rows.

  211. Spjald 211

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    How do you find the probability that independent events both occur?

    Svar

    Multiply their probabilities: P(A and B) = P(A) × P(B).

  212. Spjald 212

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    What can make an alphabetical sort misleading?

    Svar

    Labels may contain categories or embedded numbers. Confirm whether the column is text, numeric, or chronological.

  213. Spjald 213

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    What kind of fact most directly strengthens an argument?

    Svar

    A fact that supports the missing link between evidence and conclusion. Merely repeating a premise adds little.

  214. Spjald 214

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    What is the range of a data set?

    Svar

    Maximum value minus minimum value.

  215. Spjald 215

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    What should you check at a filter cutoff?

    Svar

    Whether the boundary is inclusive. “At least 40” includes 40; “more than 40” does not.

  216. Spjald 216

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    A train covers 150 miles in 3 hours at a constant rate. What is its rate?

    Svar

    50 miles per hour. Rearrange distance = rate × time to get rate = 150 ÷ 3.

  217. Spjald 217

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    What is the most direct way to weaken an argument?

    Svar

    Undermine a necessary assumption connecting the evidence to the conclusion. The premises can remain true while the conclusion loses support.

  218. Spjald 218

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    What does a tie in the sorted column imply?

    Svar

    The tied rows share rank on that measure. Their display order does not create a performance difference.

  219. Spjald 219

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    How do you identify a useful evaluation question?

    Svar

    Test whether opposite answers would push the argument in opposite directions. If both answers leave the conclusion unchanged, the question isn't useful.

  220. Spjald 220

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    What should you identify first in Graphics Interpretation?

    Svar

    The chart type and what each visual encoding represents. Bars, lines, areas, and points support different readings.

  221. Spjald 221

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    How do repeated identical items affect arrangement counts?

    Svar

    For n total items, divide n! by the factorial of each repeated count. Identical items do not create new arrangements when swapped.

  222. Spjald 222

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    What should you read before estimating a plotted value?

    Svar

    Both axis labels, units, and category order. Position has meaning only after the axes are understood.

  223. Spjald 223

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    How do you test whether a statement is a necessary assumption?

    Svar

    Negate it. If that negation seriously damages the argument, the original statement was necessary.

  224. Spjald 224

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    How do you find the probability that one of two mutually exclusive events occurs?

    Svar

    Add their probabilities: P(A or B) = P(A) + P(B). Their overlap is zero.

  225. Spjald 225

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    What should you verify in a chart legend?

    Svar

    Which color, shape, or line maps to each series. Similar styling can otherwise swap the groups in your interpretation.

  226. Spjald 226

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    What does standard deviation measure?

    Svar

    How spread out values are around the mean. Greater dispersion means a larger standard deviation.

  227. Spjald 227

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    What standard should an inference meet?

    Svar

    It must follow from the given statements, without extra assumptions. Choose the modest claim the evidence guarantees.

  228. Spjald 228

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    What does a segment’s share depend on?

    Svar

    The correct whole. A category’s share of one region may differ from its share of the full dataset.

  229. Spjald 229

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    For motion along the same line, when do you add or subtract two speeds to get relative speed?

    Svar

    Add the speeds for opposite directions; subtract the smaller speed from the larger for the same direction.

  230. Spjald 230

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    What must a paradox explanation accomplish?

    Svar

    Make both surprising facts plausible at the same time. Rejecting either stated fact doesn't resolve the tension.

  231. Spjald 231

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    How is a segment in a stacked bar measured?

    Svar

    Subtract its lower boundary from its upper boundary. The upper endpoint alone is cumulative, not the segment value.

  232. Spjald 232

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    Eight students average 70 and twelve students average 80. What is the combined mean?

    Svar

    1. The group sizes are the weights: (8 × 70 + 12 × 80) ÷ 20 = 76.
  233. Spjald 233

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    What is the difference between a graph’s level and its rate of change?

    Svar

    Level is the plotted value; rate of change is the slope. A high line can still be falling.

  234. Spjald 234

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    How should you describe a statement's role in an argument?

    Svar

    Describe what it does, not just what it says. It may support the conclusion, present an objection, answer that objection, or illustrate a principle.

  235. Spjald 235

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    What is P(A given B)?

    Svar

    P(A and B) / P(B), provided P(B) > 0. Restrict the sample space to outcomes in B.

  236. Spjald 236

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    How should slope be compared across a graph?

    Svar

    Use change in vertical value divided by change in horizontal value. Visual steepness is reliable only on the same scales.

  237. Spjald 237

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    A driver covers equal distances at 30 mph and 60 mph. Is the average speed 45 mph?

    Svar

    No. Using 60 miles for each leg gives 120 miles in 3 hours, so the average speed is 40 mph.

  238. Spjald 238

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    What should you identify first when evaluating a plan?

    Svar

    The plan's exact goal and success measure. A proposal can produce benefits yet still fail its stated objective.

  239. Spjald 239

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    What does a trend in a scatterplot establish?

    Svar

    An association in the displayed data. It does not by itself establish causation or predict every individual point.

  240. Spjald 240

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    How can you strengthen a causal explanation?

    Svar

    Rule out a credible alternative cause, support the proposed mechanism, or show the effect changes when the proposed cause changes.

  241. Spjald 241

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    How can an outlier affect a graphical trend?

    Svar

    It can pull a summary line or average away from the main cluster. Check whether the claim concerns all points or the typical pattern.

  242. Spjald 242

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    Why do probabilities usually change when sampling without replacement?

    Svar

    The sample space changes after each draw. Update both the favorable count and the total before multiplying conditional probabilities.

  243. Spjald 243

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    One value in an n-value set increases by d. How does the mean change?

    Svar

    It increases by d/n because the total rises by d while the count stays fixed.

  244. Spjald 244

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    When does a counterexample weaken a claim?

    Svar

    When the claim requires the counterexample not to exist. One genuine exception can defeat an absolute claim, but may barely affect a modest one.

  245. Spjald 245

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    What is the parity of the sum of two odd integers?

    Svar

    Even. Each odd integer is one more than an even integer, so the two extra ones add to 2.

  246. Spjald 246

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    What can an aggregate graph hide?

    Svar

    Differences among subgroups or periods. A stable total can coexist with large offsetting changes inside it.

  247. Spjald 247

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    When is interpolation reasonable on a graph?

    Svar

    When the graph implies continuity between nearby points. Do not interpolate across separate categories.

  248. Spjald 248

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    What makes information relevant to evaluating an argument?

    Svar

    It bears on the uncertain link the conclusion depends on. Interesting facts about the topic may still be logically irrelevant.

  249. Spjald 249

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    How precise should a value read from a graph be?

    Svar

    Only as precise as the scale supports. Use a defensible interval when the mark falls between ticks.

  250. Spjald 250

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    Must a necessary assumption prove the conclusion?

    Svar

    No. It only has to be required for the argument to work; it need not be enough to establish the conclusion on its own.

  251. Spjald 251

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    How do you multiply positive numbers written in scientific notation?

    Svar

    Multiply the coefficients, add the powers of 10, then adjust the coefficient to be at least 1 and less than 10.

  252. Spjald 252

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    How should a graph-based decision be made?

    Svar

    Translate the visual into values or bounds, then apply the stated rule. Do not decide from appearance alone.

  253. Spjald 253

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    When is backsolving from answer choices especially useful?

    Svar

    When the choices are concrete values and direct algebra is slower than testing them in the original conditions.

  254. Spjald 254

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    How can axis scale distort a visual impression?

    Svar

    Unequal intervals or a truncated baseline can magnify or compress differences. Use tick values, not apparent distance alone.

  255. Spjald 255

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    When should you combine two statements for an inference?

    Svar

    When they share a term or relationship that creates a guaranteed consequence. Don't combine them through an unstated causal or statistical link.

  256. Spjald 256

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    When is a product of integers odd?

    Svar

    Only when every factor is odd. One even factor makes the entire product even.

  257. Spjald 257

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    What often resolves two apparently conflicting results?

    Svar

    A hidden difference in group, time, measurement, or conditions. The results may describe different slices of the situation.

  258. Spjald 258

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    How should equal distances on a logarithmic axis be interpreted?

    Svar

    As equal multiplicative changes, not equal absolute changes. Read the labeled values before comparing gaps.

  259. Spjald 259

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    Why start with a middle answer choice when backsolving ordered options?

    Svar

    Its result often eliminates half the choices at once when the relationship is monotonic.

  260. Spjald 260

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    What makes a Two-Part Analysis response complete?

    Svar

    Both selections must satisfy their own column prompts under the same stem. Treat the pair as one submitted response.

  261. Spjald 261

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    What is an analogy doing when it supports a claim?

    Svar

    It argues that because two cases share relevant features, a result or principle from one likely applies to the other.

  262. Spjald 262

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    How do you represent three consecutive odd integers?

    Svar

    n, n + 2, and n + 4, where n is an odd integer.

  263. Spjald 263

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    What should you identify before solving Two-Part Analysis?

    Svar

    The role of each column. One may ask for a condition while the other asks for a consequence or decision.

  264. Spjald 264

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    What values should you test first in a claim about an unspecified number?

    Svar

    Test allowed categories that may behave differently: positive, negative, zero, fractional, and boundary values.

  265. Spjald 265

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    How can an unchanged bottleneck defeat a plan?

    Svar

    Improving a nonlimiting step won't improve the final outcome if another constraint still controls it. Faster ordering doesn't help when production is already full.

  266. Spjald 266

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    How does the shared stem affect the two parts?

    Svar

    Its definitions and constraints apply to both. Keep them fixed while testing each column’s requirement.

  267. Spjald 267

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    How do you count the positive divisors of an integer greater than 1 from its prime factorization?

    Svar

    Add 1 to each prime exponent, then multiply those results.

  268. Spjald 268

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    In Two-Part Analysis, must the two selected entries be the same?

    Svar

    In the current format, the two selected entries may be the same or different. A linkage in the stem determines whether you must reason through them jointly, not whether their values match.

  269. Spjald 269

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    What makes evidence for a general claim strong?

    Svar

    It should be relevant and reliable and, if case-based, come from representative cases. More evidence isn't automatically better evidence.

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    How do you factor a difference of squares?

    Svar

    Use x² − y² = (x − y)(x + y).

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    When should the two Two-Part Analysis selections be solved together?

    Svar

    When one shared relationship constrains both. Test candidate pairs against that relationship instead of solving isolated fragments.

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    How can one counterexample evaluate a universal claim?

    Svar

    One valid counterexample disproves a claim that is supposed to hold for every allowed value.

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    How does an alternative explanation weaken a conclusion?

    Svar

    It shows that the evidence can be true without the proposed explanation being true. The alternative must account for the same result.

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    In Two-Part Analysis, how can one column help solve the other?

    Svar

    A valid selection can narrow the remaining candidates when the parts share a constraint. Recheck the final pair in both columns.

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    How do you test whether x² + bx + c factors into integer binomials?

    Svar

    Look for integers r and s with r + s = b and rs = c. If they exist, the factorization is (x + r)(x + s).

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    Which unknown should you evaluate first in a plan argument?

    Svar

    A condition that could make the plan achieve or miss its goal. Focus on feasibility, response, costs, and side effects tied to that goal.

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    How should a trade-off between two measures be evaluated?

    Svar

    Apply the stated priorities or limits. An option is better only relative to the rule, not because one measure is largest.

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    How can estimation screen answer choices before exact calculation?

    Svar

    Approximate the expression's magnitude, then eliminate choices that are far too large or too small.

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    In a constrained-decision Two-Part Analysis problem, what should you check before comparing candidates?

    Svar

    Check every hard constraint first. Discard any option that breaks a required limit, then compare only the feasible candidates.

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    What does a defensive assumption do?

    Svar

    It rules out a threat that would break the argument. For example, a revenue plan may assume that its added costs won't exceed the new revenue.

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    What restriction applies when a variable appears in a denominator?

    Svar

    Exclude every value that makes the denominator zero.

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    How does an objective differ from a constraint?

    Svar

    A constraint determines what is allowed; an objective ranks the allowed options. Apply them in that order.

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    Which quick checks catch many Quant answer errors?

    Svar

    Check the sign, units, allowed range, and rough size against the question's conditions.

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    What inference is safe from a statement about most members?

    Svar

    More than half have the stated trait. You can't infer that all do, that any particular member does, or that most have another trait.

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    How should a two-part threshold rule be handled?

    Svar

    Translate each threshold with the correct inequality, including its boundary. Then test both selected values against it.

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    Where can one negative sign appear in a fraction without changing its value?

    Svar

    Before the fraction, in the numerator, or in the denominator: −(a/b) = (−a)/b = a/(−b), provided b ≠ 0.

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    How does an argument choose between competing explanations?

    Svar

    It presents evidence that one explanation handles better than the others, often by ruling out a rival prediction.

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    What is an efficient way to handle two linked algebraic targets?

    Svar

    Express both in terms of one variable or invariant. Evaluate candidate values only after the relationship is clear.

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    How do you solve x² = c over the real numbers?

    Svar

    If c > 0, x = ±√c; if c = 0, x = 0; if c < 0, there is no real solution.

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    What should you check when two selected quantities form a ratio?

    Svar

    Order and scale. The ratio A:B is not interchangeable with B:A, and proportional pairs may all fit.

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    How does a positive proper fraction compare with 1?

    Svar

    It is less than 1 because its numerator is smaller than its denominator.

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    Which side effects matter when evaluating a plan?

    Svar

    Effects that change the plan's net result or work against its goal. A small unrelated inconvenience usually doesn't matter.

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    How should a two-part logical claim be tested?

    Svar

    Separate the condition from the conclusion, then test whether each selected statement performs the requested role.

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    What is the solution pattern for |x| = a over the real numbers?

    Svar

    If a > 0, x = ±a; if a = 0, x = 0; if a < 0, there is no real solution.

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    What unit check belongs in a two-part quantitative answer?

    Svar

    Confirm that each selection has the unit requested by its column. Linked values may require different conversions.

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    Why does user response matter to a plan?

    Svar

    The plan may depend on people adopting, following, or not avoiding it. Availability alone doesn't guarantee the needed behavior.

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    A response rate rises from 40% to 50%. What are the percentage-point change and the relative percent increase?

    Svar

    The increase is 10 percentage points and 25% relative to the original rate: (50 − 40) ÷ 40 = 0.25.

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    What is the final check for Two-Part Analysis?

    Svar

    Read each column prompt with its chosen entry, then verify that the pair is jointly consistent with the stem.

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    For real x and y, what two linear cases are equivalent to x² = y²?

    Svar

    x = y or x = −y.

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    How should benefits and costs be compared in a plan argument?

    Svar

    By their net effect on the stated goal. A plan can create the intended benefit but still fail if its relevant costs are larger.

Abstract study workspace with blue number blocks, amber argument notes, and teal charts around a central light.

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GMAT Flashcards: Quant, Verbal & Data Insights Decisions

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