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Data Sufficiency Techniques Mastery Hub: The Industry Founda

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Q1Domain Verified
A data sufficiency question on "The Complete Data Sufficiency for SNAP 2026: From Zero to Expert!" states that a candidate's score is determined by the number of correct answers (C) and incorrect answers (I) to a total of T questions. Which of the following statements, when added to the given information, would be SUFFICIENT to determine the candidate's score?
The candidate answered 10 questions incorrectly, and the total number of questions was 50.
The candidate scored 120 marks, and each correct answer is worth 2 marks, while each incorrect answer deducts 1 mark.
The candidate answered 80% of the questions correctly.
The number of incorrect answers was 20% of the total questions.
Q2Domain Verified
asks if the *score* can be determined. Let's re-evaluate. The candidate's score is *determined by* C and I. If we know the scoring *method*, and we can find unique values for C and I, then the score is determined. The statement "The candidate scored 120 marks" implies the score is already known. This is a trick. The question asks what is *sufficient to determine* the score. If we know the formula (Score = 2C - I) and we can find unique C and I, then the score is determined. The statement "The candidate scored 120 marks" is not about determining the score from C and I; it's stating the score. Let's assume the question meant "The scoring system is as follows: each correct answer is worth 2 marks, and each incorrect answer deducts 1 mark." If this were the case, and we had information to find C and I, then the score would be determined. However, as written, option C is problematic. Let's assume the intent was: "The scoring system is: each correct answer is worth 2 marks, and each incorrect answer deducts 1 mark. The total number of questions was 50." In this hypothetical revised scenario, we could find C and I. Let's re-interpret the question as: "Which of the following statements, when added to the initial information (Score = f(C, I), T = C + I), would be SUFFICIENT to determine the candidate's score?" Option A: C = 0.80 * T. This means C = 0.80 * (C + I), so 0.20C = 0.80I, or C = 4I. We have a relationship between C and I, but not specific values, so the score is not determined. Option B: I = 0.20 * T. This means I = 0.20 * (C + I), so 0.80I = 0.20C, or I = 0.25C. Similar to A, not sufficient. Option C: Score = 2C - I, and the score is 120. This statement IS the score. It doesn't help us *determine* the score from C and I. This option is poorly phrased if it's meant to be a data sufficiency statement. Let's assume the question meant: "Which of the following, when ADDED to the statements 'a candidate's score is determined by the number of correct answers (C) and incorrect answers (I) to a total of T questions' and the SCORING FORMULA (e.g., Score = 2C - I), would be SUFFICIENT to determine the candidate's score?" If the scoring formula is Score = 2C - I.
I = 0.20 * T. I = 0.20(C+I) => 0.8I = 0.2C => I = 0.25
Score = 2C - 0.25C = 1.75C. Not determine
C = 0.80 * T. C = 0.80(C+I) => 0.2C = 0.8I => C = 4I. Score = 2(4I) - I = 7I. Not determined.
C) The candidate scored 120 marks, and each
Q3Domain Verified
and options, assuming the intent is typical DS. The initial information: Score is determined by C and I. T = C + I. We need to find a statement that allows us to uniquely determine the numerical value of the Score.
I = 0.20 * T. This gives I = 0.20(C+I) => 0.8I = 0.2C => I = 0.25
Similar to A. C) The candidate scored 120 marks, and each correct answer is worth 2 marks, while each incorrect answer deducts 1 mark. This statement *provides* the scoring formula (Score = 2C - I) AND *states* the score (120). This is not a data sufficiency statement in the usual sense. However, if interpreted as "The scoring system is: each correct answer is worth 2 marks, and each incorrect answer deducts 1 mark. AND we can determine C and I using this statement AND other information." The statement as written is self-referential. Let's assume the question is testing the understanding of what constitutes a *determinate* condition. The crucial aspect is that *the score itself* is what needs to be determine
C = 0.80 * T. This gives C = 0.80(C+I) => 0.2C = 0.8I => C = 4I. If we knew T, we could find C and I. But T is not given.
Let's re-evaluate option D, as it's the most likely candidate for sufficiency in a typical DS context. D) The candidate answered 10 questions incorrectly, and the total number of questions was 50. Given: T = 50, I = 10. From T = C + I, we get 50 = C + 10, so C = 40. Now we have unique values for C (40) and I (10). If we are also given the scoring formula (e.g., Score = 2C - I), then we can calculate a unique score. The problem statement says "a candidate's score is determined by the number of

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