700, 1200, 1600, 2000, xIf the mean of the five numbers above is 1600, what is the value of x?
Correct answer: C. 2500
- A. 2300
- B. 2400
- C. 2500
- D. 2600
Explanation
The correct answer is 2500. The mean number of the list is found by dividing the sum of all the numbers in the list by the count of numbers in the list. It's given that the mean of the five numbers in this list is 1600; therefore, 700 + 1200 + 1600 + 2000 + x / 5 = 1600. Multiplying both sides of this equation by 5 gives 700 + 1200 + 1600 + 2000 + x = 8000. The left-hand side of this equation can be rewritten as 5500 + x = 8000. Subtracting 5500 from both sides of this equation gives x = 2500.
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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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