GMAT Flashcards: Quant, Verbal & Data Insights Decisions

Cartes de ce paquet

1. Carte 1

   Question

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

   Réponse

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

2. Carte 2

   Question

   What does data sufficiency ask you to determine?

   Réponse

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

3. Carte 3

   Question

   How do you form a passage's main idea?

   Réponse

   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. Carte 4

   Question

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

   Réponse

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

5. Carte 5

   Question

   What makes information sufficient for a value question?

   Réponse

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

6. Carte 6

   Question

   How do you identify the passage's primary purpose?

   Réponse

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

7. Carte 7

   Question

   How do you find p percent of a quantity q?

   Réponse

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

8. Carte 8

   Question

   How can two valid cases prove insufficiency?

   Réponse

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

9. Carte 9

   Question

   How do you determine a paragraph's role?

   Réponse

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

10. Carte 10

    Question

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

    Réponse

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

11. Carte 11

    Question

    Why can an integer restriction change sufficiency?

    Réponse

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

12. Carte 12

    Question

    When is a product of signed factors negative?

    Réponse

    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. Carte 13

    Question

    How should two data-sufficiency statements be tested initially?

    Réponse

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

14. Carte 14

    Question

    What makes an integer greater than 1 prime?

    Réponse

    It has exactly two positive divisors: 1 and itself.

15. Carte 15

    Question

    What should you do first on a detail question?

    Réponse

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

16. Carte 16

    Question

    What is the divisibility rule for 2?

    Réponse

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

17. Carte 17

    Question

    How do you test whether a fact is relevant?

    Réponse

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

18. Carte 18

    Question

    How far may a reading inference go beyond the text?

    Réponse

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

19. Carte 19

    Question

    Why is prime factorization useful in GMAT arithmetic?

    Réponse

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

20. Carte 20

    Question

    What must happen before quantities with different units are combined?

    Réponse

    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. Carte 21

    Question

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

    Réponse

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

22. Carte 22

    Question

    Which relationship connects distance, rate, and time?

    Réponse

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

23. Carte 23

    Question

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

    Réponse

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

24. Carte 24

    Question

    How do you multiply powers with the same base?

    Réponse

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

25. Carte 25

    Question

    How is a weighted average computed?

    Réponse

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

26. Carte 26

    Question

    What should a quick passage map record?

    Réponse

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

27. Carte 27

    Question

    What does the principal square root symbol √x return?

    Réponse

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

28. Carte 28

    Question

    When can bounds replace exact arithmetic?

    Réponse

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

29. Carte 29

    Question

    How do you keep viewpoints separate?

    Réponse

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

30. Carte 30

    Question

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

    Réponse

    They mean addition, multiplication, and division, respectively.

31. Carte 31

    Question

    How do you reduce a fraction to lowest terms?

    Réponse

    Divide the numerator and denominator by their greatest common factor.

32. Carte 32

    Question

    What evidence should determine the author's tone?

    Réponse

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

33. Carte 33

    Question

    When should rounding usually occur?

    Réponse

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

34. Carte 34

    Question

    How do you convert a terminating decimal to a fraction?

    Réponse

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

35. Carte 35

    Question

    When should you stop calculating in a sufficiency problem?

    Réponse

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

36. Carte 36

    Question

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

    Réponse

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

37. Carte 37

    Question

    What is the percent-change formula?

    Réponse

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

38. Carte 38

    Question

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

    Réponse

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

39. Carte 39

    Question

    What preserves a ratio when its quantities are scaled?

    Réponse

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

40. Carte 40

    Question

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

    Réponse

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

41. Carte 41

    Question

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

    Réponse

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

42. Carte 42

    Question

    How do you simplify subtraction of a negative number?

    Réponse

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

43. Carte 43

    Question

    Whose purpose matters in a primary-purpose question?

    Réponse

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

44. Carte 44

    Question

    When is the on-screen calculator most useful?

    Réponse

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

45. Carte 45

    Question

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

    Réponse

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

46. Carte 46

    Question

    What is the divisibility rule for 3?

    Réponse

    The sum of the digits must be divisible by 3.

47. Carte 47

    Question

    What does a transition paragraph often do?

    Réponse

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

48. Carte 48

    Question

    When is a proxy measure useful?

    Réponse

    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. Carte 49

    Question

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

    Réponse

    Take each shared prime to the smaller exponent.

50. Carte 50

    Question

    What is the arithmetic mean?

    Réponse

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

51. Carte 51

    Question

    What units should a rate have?

    Réponse

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

52. Carte 52

    Question

    How do you divide powers with the same nonzero base?

    Réponse

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

53. Carte 53

    Question

    What makes a paraphrase faithful to a passage detail?

    Réponse

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

54. Carte 54

    Question

    How do you recover a total from an average?

    Réponse

    Total = average × number of values.

55. Carte 55

    Question

    How do you choose between two plausible reading inferences?

    Réponse

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

56. Carte 56

    Question

    What quick check can catch a calculator-entry error?

    Réponse

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

57. Carte 57

    Question

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

    Réponse

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

58. Carte 58

    Question

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

    Réponse

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

59. Carte 59

    Question

    When can work rates be added?

    Réponse

    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. Carte 60

    Question

    What is the denominator in a percent comparison?

    Réponse

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

61. Carte 61

    Question

    How do you translate “5 less than x”?

    Réponse

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

62. Carte 62

    Question

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

    Réponse

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

63. Carte 63

    Question

    How do you add fractions with different denominators?

    Réponse

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

64. Carte 64

    Question

    How do you distinguish description from argument in a passage?

    Réponse

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

65. Carte 65

    Question

    How should you compare decimals with different lengths?

    Réponse

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

66. Carte 66

    Question

    How should combined statements be evaluated?

    Réponse

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

67. Carte 67

    Question

    How do you find common ground between two viewpoints?

    Réponse

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

68. Carte 68

    Question

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

    Réponse

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

69. Carte 69

    Question

    How is average speed computed?

    Réponse

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

70. Carte 70

    Question

    What does |x| represent?

    Réponse

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

71. Carte 71

    Question

    Why are strongly emotional tone descriptions often wrong?

    Réponse

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

72. Carte 72

    Question

    What is the divisibility rule for 4?

    Réponse

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

73. Carte 73

    Question

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

    Réponse

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

74. Carte 74

    Question

    Why can a true statement still be a wrong answer?

    Réponse

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

75. Carte 75

    Question

    When must a weighted average lie between its component values?

    Réponse

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

76. Carte 76

    Question

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

    Réponse

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

77. Carte 77

    Question

    What does an inequality usually provide?

    Réponse

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

78. Carte 78

    Question

    How should you handle an EXCEPT detail prompt?

    Réponse

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

79. Carte 79

    Question

    How should you set up a unit conversion?

    Réponse

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

80. Carte 80

    Question

    Can two individually insufficient statements remain insufficient together?

    Réponse

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

81. Carte 81

    Question

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

    Réponse

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

82. Carte 82

    Question

    When can you infer that an author accepts a claim?

    Réponse

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

83. Carte 83

    Question

    How should successive percentage changes be combined?

    Réponse

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

84. Carte 84

    Question

    What are compatible numbers in estimation?

    Réponse

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

85. Carte 85

    Question

    Which constraints are easy to overlook in a word problem?

    Réponse

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

86. Carte 86

    Question

    How do you state the exact disagreement between two viewpoints?

    Réponse

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

87. Carte 87

    Question

    How do you represent three consecutive integers?

    Réponse

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

88. Carte 88

    Question

    How do percentage points differ from percent change?

    Réponse

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

89. Carte 89

    Question

    What is a reversed-relationship trap?

    Réponse

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

90. Carte 90

    Question

    How do you multiply two fractions?

    Réponse

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

91. Carte 91

    Question

    How do direct and inverse proportion differ?

    Réponse

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

92. Carte 92

    Question

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

    Réponse

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

93. Carte 93

    Question

    When should absolute wording raise suspicion?

    Réponse

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

94. Carte 94

    Question

    What should you identify first in Data Sufficiency?

    Réponse

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

95. Carte 95

    Question

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

    Réponse

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

96. Carte 96

    Question

    How should a Data Sufficiency condition be handled?

    Réponse

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

97. Carte 97

    Question

    How do you reject a half-right answer?

    Réponse

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

98. Carte 98

    Question

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

    Réponse

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

99. Carte 99

    Question

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

    Réponse

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

100. Carte 100

     Question

     What is a⁰ when a is nonzero?

     Réponse

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

101. Carte 101

     Question

     Which claim is the argument trying to establish?

     Réponse

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

102. Carte 102

     Question

     When should the two statements be combined?

     Réponse

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

103. Carte 103

     Question

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

     Réponse

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

104. Carte 104

     Question

     What should you check when the conclusion changes populations?

     Réponse

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

105. Carte 105

     Question

     How should test values be chosen in Data Sufficiency?

     Réponse

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

106. Carte 106

     Question

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

     Réponse

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

107. Carte 107

     Question

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

     Réponse

     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. Carte 108

     Question

     What does a correlation establish by itself?

     Réponse

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

109. Carte 109

     Question

     How do you divide by a nonzero fraction?

     Réponse

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

110. Carte 110

     Question

     Why is a ratio often insufficient for an absolute value?

     Réponse

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

111. Carte 111

     Question

     What is the divisibility rule for 9?

     Réponse

     The sum of the digits must be divisible by 9.

112. Carte 112

     Question

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

     Réponse

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

113. Carte 113

     Question

     What should you check after solving a squared equation?

     Réponse

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

114. Carte 114

     Question

     What does a negative exponent mean?

     Réponse

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

115. Carte 115

     Question

     Which baseline makes a comparison informative?

     Réponse

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

116. Carte 116

     Question

     What risk appears when an equation factors into multiple branches?

     Réponse

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

117. Carte 117

     Question

     How can you compare two positive fractions quickly?

     Réponse

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

118. Carte 118

     Question

     What may be assumed from a Data Sufficiency diagram?

     Réponse

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

119. Carte 119

     Question

     What multiplier represents a p percent increase or decrease?

     Réponse

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

120. Carte 120

     Question

     Which statements count as evidence?

     Réponse

     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. Carte 121

     Question

     Can a mean determine an individual observation?

     Réponse

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

122. Carte 122

     Question

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

     Réponse

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

123. Carte 123

     Question

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

     Réponse

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

124. Carte 124

     Question

     How do extreme valid cases help in Data Sufficiency?

     Réponse

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

125. Carte 125

     Question

     How do you test for reverse causation?

     Réponse

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

126. Carte 126

     Question

     Must a sufficient statement make every variable unique?

     Réponse

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

127. Carte 127

     Question

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

     Réponse

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

128. Carte 128

     Question

     Why can a voluntary survey be biased?

     Réponse

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

129. Carte 129

     Question

     How do you expand a(b + c)?

     Réponse

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

130. Carte 130

     Question

     What should the final Data Sufficiency decision describe?

     Réponse

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

131. Carte 131

     Question

     What is the goal when solving a linear equation?

     Réponse

     Isolate the variable by applying equivalent operations to both sides.

132. Carte 132

     Question

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

     Réponse

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

133. Carte 133

     Question

     When must an inequality sign reverse?

     Réponse

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

134. Carte 134

     Question

     What must be checked before comparing two groups?

     Réponse

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

135. Carte 135

     Question

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

     Réponse

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

136. Carte 136

     Question

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

     Réponse

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

137. Carte 137

     Question

     How do you separate background from evidence?

     Réponse

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

138. Carte 138

     Question

     Which algebraic terms can be combined?

     Réponse

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

139. Carte 139

     Question

     When should you read the Multi-Source Reasoning question?

     Réponse

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

140. Carte 140

     Question

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

     Réponse

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

141. Carte 141

     Question

     Why does source provenance matter?

     Réponse

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

142. Carte 142

     Question

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

     Réponse

     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. Carte 143

     Question

     What does an “and” compound inequality require?

     Réponse

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

144. Carte 144

     Question

     What should you compare before combining claims from two sources?

     Réponse

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

145. Carte 145

     Question

     How can a third factor undermine a causal claim?

     Réponse

     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. Carte 146

     Question

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

     Réponse

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

147. Carte 147

     Question

     How should records from separate sources be linked?

     Réponse

     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. Carte 148

     Question

     How do you factor 6x + 9?

     Réponse

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

149. Carte 149

     Question

     When does nonresponse threaten a survey result?

     Réponse

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

150. Carte 150

     Question

     What is the first step when two sources seem inconsistent?

     Réponse

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

     

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151. Carte 151

     Question

     When can you use the zero-product property?

     Réponse

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

152. Carte 152

     Question

     How does an inference differ from a stated fact?

     Réponse

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

153. Carte 153

     Question

     Does a higher percentage by itself prove a higher count?

     Réponse

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

154. Carte 154

     Question

     What does an “or” compound inequality require?

     Réponse

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

155. Carte 155

     Question

     What does a blank or omitted value establish?

     Réponse

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

156. Carte 156

     Question

     How do you recognize an intermediate conclusion?

     Réponse

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

157. Carte 157

     Question

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

     Réponse

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

158. Carte 158

     Question

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

     Réponse

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

159. Carte 159

     Question

     When should candidate solutions be checked in the original equation?

     Réponse

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

160. Carte 160

     Question

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

     Réponse

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

161. Carte 161

     Question

     What makes a source relevant to a claim?

     Réponse

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

162. Carte 162

     Question

     How do you solve a factored polynomial inequality reliably?

     Réponse

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

163. Carte 163

     Question

     Does happening first prove causation?

     Réponse

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

164. Carte 164

     Question

     How can you spot an unsupported cross-source conclusion?

     Réponse

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

165. Carte 165

     Question

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

     Réponse

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

166. Carte 166

     Question

     What should you verify before comparing figures from different sources?

     Réponse

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

167. Carte 167

     Question

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

     Réponse

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

168. Carte 168

     Question

     What can a larger sample improve?

     Réponse

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

169. Carte 169

     Question

     How should a cross-source recommendation be evaluated?

     Réponse

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

170. Carte 170

     Question

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

     Réponse

     1/t of the job per hour.

171. Carte 171

     Question

     What can an average hide?

     Réponse

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

172. Carte 172

     Question

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

     Réponse

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

173. Carte 173

     Question

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

     Réponse

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

174. Carte 174

     Question

     What role does a concession usually play?

     Réponse

     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. Carte 175

     Question

     When can an apparent cross-source discrepancy be resolved?

     Réponse

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

176. Carte 176

     Question

     What is the two-set overlap formula?

     Réponse

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

177. Carte 177

     Question

     What should you identify first in Table Analysis?

     Réponse

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

178. Carte 178

     Question

     What is the fundamental counting principle?

     Réponse

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

179. Carte 179

     Question

     Why distinguish relative change from absolute change?

     Réponse

     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. Carte 180

     Question

     How should a table filter be translated?

     Réponse

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

181. Carte 181

     Question

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

     Réponse

     Favorable outcomes divided by total possible outcomes.

182. Carte 182

     Question

     What makes a proposed causal mechanism useful?

     Réponse

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

183. Carte 183

     Question

     How do you find the median?

     Réponse

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

184. Carte 184

     Question

     How should numeric values be sorted?

     Réponse

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

185. Carte 185

     Question

     What is missed when evidence includes only successful cases?

     Réponse

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

186. Carte 186

     Question

     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?

     Réponse

     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. Carte 187

     Question

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

     Réponse

     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. Carte 188

     Question

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

     Réponse

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

189. Carte 189

     Question

     When may table rows be added directly?

     Réponse

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

190. Carte 190

     Question

     What does n! mean for a positive integer n?

     Réponse

     The product of the positive integers from 1 through n.

191. Carte 191

     Question

     Where is the argument's logical gap?

     Réponse

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

192. Carte 192

     Question

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

     Réponse

     Subtract the number in the union from the total population.

193. Carte 193

     Question

     How should rates from table groups be combined?

     Réponse

     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. Carte 194

     Question

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

     Réponse

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

195. Carte 195

     Question

     When should you use a permutation?

     Réponse

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

196. Carte 196

     Question

     Why does table granularity matter?

     Réponse

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

197. Carte 197

     Question

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

     Réponse

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

198. Carte 198

     Question

     Why does a comparable control group help test causation?

     Réponse

     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. Carte 199

     Question

     How should missing table entries be treated?

     Réponse

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

200. Carte 200

     Question

     What is the mode of a data set?

     Réponse

     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. Carte 201

     Question

     What makes a table comparison valid?

     Réponse

     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. Carte 202

     Question

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

     Réponse

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

203. Carte 203

     Question

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

     Réponse

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

204. Carte 204

     Question

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

     Réponse

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

205. Carte 205

     Question

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

     Réponse

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

206. Carte 206

     Question

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

     Réponse

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

207. Carte 207

     Question

     When does a filtered table support a decision?

     Réponse

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

208. Carte 208

     Question

     When should you use a combination?

     Réponse

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

209. Carte 209

     Question

     What must support a recommendation?

     Réponse

     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. Carte 210

     Question

     How do AND and OR change a table filter?

     Réponse

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

211. Carte 211

     Question

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

     Réponse

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

212. Carte 212

     Question

     What can make an alphabetical sort misleading?

     Réponse

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

213. Carte 213

     Question

     What kind of fact most directly strengthens an argument?

     Réponse

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

214. Carte 214

     Question

     What is the range of a data set?

     Réponse

     Maximum value minus minimum value.

215. Carte 215

     Question

     What should you check at a filter cutoff?

     Réponse

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

216. Carte 216

     Question

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

     Réponse

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

217. Carte 217

     Question

     What is the most direct way to weaken an argument?

     Réponse

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

218. Carte 218

     Question

     What does a tie in the sorted column imply?

     Réponse

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

219. Carte 219

     Question

     How do you identify a useful evaluation question?

     Réponse

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

220. Carte 220

     Question

     What should you identify first in Graphics Interpretation?

     Réponse

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

221. Carte 221

     Question

     How do repeated identical items affect arrangement counts?

     Réponse

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

222. Carte 222

     Question

     What should you read before estimating a plotted value?

     Réponse

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

223. Carte 223

     Question

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

     Réponse

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

224. Carte 224

     Question

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

     Réponse

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

225. Carte 225

     Question

     What should you verify in a chart legend?

     Réponse

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

226. Carte 226

     Question

     What does standard deviation measure?

     Réponse

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

227. Carte 227

     Question

     What standard should an inference meet?

     Réponse

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

228. Carte 228

     Question

     What does a segment’s share depend on?

     Réponse

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

229. Carte 229

     Question

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

     Réponse

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

230. Carte 230

     Question

     What must a paradox explanation accomplish?

     Réponse

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

231. Carte 231

     Question

     How is a segment in a stacked bar measured?

     Réponse

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

232. Carte 232

     Question

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

     Réponse

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

233. Carte 233

     Question

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

     Réponse

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

234. Carte 234

     Question

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

     Réponse

     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. Carte 235

     Question

     What is P(A given B)?

     Réponse

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

236. Carte 236

     Question

     How should slope be compared across a graph?

     Réponse

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

237. Carte 237

     Question

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

     Réponse

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

238. Carte 238

     Question

     What should you identify first when evaluating a plan?

     Réponse

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

239. Carte 239

     Question

     What does a trend in a scatterplot establish?

     Réponse

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

240. Carte 240

     Question

     How can you strengthen a causal explanation?

     Réponse

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

241. Carte 241

     Question

     How can an outlier affect a graphical trend?

     Réponse

     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. Carte 242

     Question

     Why do probabilities usually change when sampling without replacement?

     Réponse

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

243. Carte 243

     Question

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

     Réponse

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

244. Carte 244

     Question

     When does a counterexample weaken a claim?

     Réponse

     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. Carte 245

     Question

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

     Réponse

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

246. Carte 246

     Question

     What can an aggregate graph hide?

     Réponse

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

247. Carte 247

     Question

     When is interpolation reasonable on a graph?

     Réponse

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

248. Carte 248

     Question

     What makes information relevant to evaluating an argument?

     Réponse

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

249. Carte 249

     Question

     How precise should a value read from a graph be?

     Réponse

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

250. Carte 250

     Question

     Must a necessary assumption prove the conclusion?

     Réponse

     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. Carte 251

     Question

     How do you multiply positive numbers written in scientific notation?

     Réponse

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

252. Carte 252

     Question

     How should a graph-based decision be made?

     Réponse

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

253. Carte 253

     Question

     When is backsolving from answer choices especially useful?

     Réponse

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

254. Carte 254

     Question

     How can axis scale distort a visual impression?

     Réponse

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

255. Carte 255

     Question

     When should you combine two statements for an inference?

     Réponse

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

256. Carte 256

     Question

     When is a product of integers odd?

     Réponse

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

257. Carte 257

     Question

     What often resolves two apparently conflicting results?

     Réponse

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

258. Carte 258

     Question

     How should equal distances on a logarithmic axis be interpreted?

     Réponse

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

259. Carte 259

     Question

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

     Réponse

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

260. Carte 260

     Question

     What makes a Two-Part Analysis response complete?

     Réponse

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

261. Carte 261

     Question

     What is an analogy doing when it supports a claim?

     Réponse

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

262. Carte 262

     Question

     How do you represent three consecutive odd integers?

     Réponse

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

263. Carte 263

     Question

     What should you identify before solving Two-Part Analysis?

     Réponse

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

264. Carte 264

     Question

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

     Réponse

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

265. Carte 265

     Question

     How can an unchanged bottleneck defeat a plan?

     Réponse

     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. Carte 266

     Question

     How does the shared stem affect the two parts?

     Réponse

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

267. Carte 267

     Question

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

     Réponse

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

268. Carte 268

     Question

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

     Réponse

     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. Carte 269

     Question

     What makes evidence for a general claim strong?

     Réponse

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

270. Carte 270

     Question

     How do you factor a difference of squares?

     Réponse

     Use x² − y² = (x − y)(x + y).

271. Carte 271

     Question

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

     Réponse

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

272. Carte 272

     Question

     How can one counterexample evaluate a universal claim?

     Réponse

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

273. Carte 273

     Question

     How does an alternative explanation weaken a conclusion?

     Réponse

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

274. Carte 274

     Question

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

     Réponse

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

275. Carte 275

     Question

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

     Réponse

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

276. Carte 276

     Question

     Which unknown should you evaluate first in a plan argument?

     Réponse

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

277. Carte 277

     Question

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

     Réponse

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

278. Carte 278

     Question

     How can estimation screen answer choices before exact calculation?

     Réponse

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

279. Carte 279

     Question

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

     Réponse

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

280. Carte 280

     Question

     What does a defensive assumption do?

     Réponse

     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.

281. Carte 281

     Question

     What restriction applies when a variable appears in a denominator?

     Réponse

     Exclude every value that makes the denominator zero.

282. Carte 282

     Question

     How does an objective differ from a constraint?

     Réponse

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

283. Carte 283

     Question

     Which quick checks catch many Quant answer errors?

     Réponse

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

284. Carte 284

     Question

     What inference is safe from a statement about most members?

     Réponse

     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.

285. Carte 285

     Question

     How should a two-part threshold rule be handled?

     Réponse

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

286. Carte 286

     Question

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

     Réponse

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

287. Carte 287

     Question

     How does an argument choose between competing explanations?

     Réponse

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

288. Carte 288

     Question

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

     Réponse

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

289. Carte 289

     Question

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

     Réponse

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

290. Carte 290

     Question

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

     Réponse

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

291. Carte 291

     Question

     How does a positive proper fraction compare with 1?

     Réponse

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

292. Carte 292

     Question

     Which side effects matter when evaluating a plan?

     Réponse

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

293. Carte 293

     Question

     How should a two-part logical claim be tested?

     Réponse

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

294. Carte 294

     Question

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

     Réponse

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

295. Carte 295

     Question

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

     Réponse

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

296. Carte 296

     Question

     Why does user response matter to a plan?

     Réponse

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

297. Carte 297

     Question

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

     Réponse

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

298. Carte 298

     Question

     What is the final check for Two-Part Analysis?

     Réponse

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

299. Carte 299

     Question

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

     Réponse

     x = y or x = −y.

300. Carte 300

     Question

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

     Réponse

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

300 cartes

GMAT Flashcards: Quant, Verbal & Data Insights Decisions

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