State whether a ∈ C, if {a} ⊂ A: i: A ⊆ B ii: B ⊆ C
Correct answer: D. Statements (i) and (ii) together are sufficient
- A. Statement (i) is sufficient
- B. Statement (ii) is sufficient
- C. Statements (i) and (ii) are each sufficient on their own
- D. Statements (i) and (ii) together are sufficient
Explanation
Option D is correct. The chain of relationships {a} ⊂ A, A ⊆ B, and B ⊆ C allows us to conclude that a ∈ C. Statements (i) and (ii) must be combined to establish this link. Options A, B, and C are incorrect because they do not utilize the full chain of subset relationships.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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