If u > t, r > q, s > t, and t > r, which of the following must be true?I. u > sII. s > qIII. u > r
Correct answer: E. II and III
- A. I, II, and III
- B. II only
- C. III only
- D. I and II
- E. II and III
Explanation
The solution involves organizing the given inequalities to find the necessary logical relationships between variables:u > tr > qs > tt > rFrom these, we can deduce:t > r and r > q, which means t > q.s > t means s > q.u > t and t > r implies u > r.Thus, statements II (s > q) and III (u > r) are true. Statement I (u > s) cannot be confirmed because there is no information directly comparing u and s.Therefore, the correct answer is Option E: II and III.
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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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