If 3x= 27 and 22x= ?
Correct answer: B. 64
- A. 32
- B. 64
- C. 8
- D. 9
Explanation
To solve the problem, first determine the value of x from the equation 3x = 27. Recognizing that 27 is 33, we equate the exponents to find x = 3. Next, substitute x into 22x to solve for 26. Calculating 26 gives 64. Therefore, the correct answer is 64. The other options, 32, 8, and 9, arise from incorrect calculations or assumptions about the exponent values.
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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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