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The quotient of ,a number and five, equals nine less than one half of the number. What is the number?

Correct answer: D. 30

  • A. -20
  • B. -10
  • C. 20
  • D. 30

Explanation

Let the number be represented as x. The equation formed is x/5 + 9 = x/2. Simplifying further, we get x = 30. Therefore, the correct answer is 30. Option A and B are incorrect as they assume negative values for the number which don't satisfy the equation. Option C is incorrect as substituting 20 in the equation does not satisfy both sides of the equation.

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About Quantitative Reasoning

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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