The arithmetic mean of the 9 consecutive integers starting with m is 24. What is the arithmetic mean of 7 consecutive integers that also start with m ?
Correct answer: D. m + 3
- A. m
- B. m + 1
- C. m + 2
- D. m + 3
Explanation
The arithmetic mean of 9 consecutive integers starting with m is calculated as the middle integer, which is the 5th integer in the sequence. Therefore, the arithmetic mean is m + 4, and given that this is 24, we have m + 4 = 24, leading to m = 20. For the 7 consecutive integers starting with m, the arithmetic mean is the 4th integer, which is m + 3. Substituting m = 20, the mean is 23. Therefore, the correct answer is m + 3. Other options are incorrect as they do not align with the arithmetic mean calculation based on the sequence length provided.
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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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