If a > b >1, then 1/b - 1/a - 1/ab
Correct answer: D. Cannot be determined from the information given.
- A. Is greater than 1.
- B. Is greater than a.
- C. Is greater than b.
- D. Cannot be determined from the information given.
Explanation
The expression 1/b - 1/a - 1/ab involves variables a and b, and its value depends on particular values of these variables. Given the inequalities a > b > 1, it is not possible to simplify this expression to a form where its magnitude can be consistently compared against constants or variables like 1, a, or b. Thus, without specific numerical values for a and b, the statement about the expression's magnitude cannot be determined, making the correct answer 'Cannot be determined from the information given.' Other options are incorrect because they assume specific relationships or values that are not justified by the given inequalities.
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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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