If x2y3=10 and x3y2=8, what is the value of x5y5?
Correct answer: D. 80
- A. 18
- B. 20
- C. 40
- D. 80
Explanation
To find x5y5, multiply the two given equations: (x2y3 = 10) and (x3y2 = 8). The left side becomes x2+3y3+2 = x5y5. The right side becomes 10 * 8 = 80. Therefore, x5y5 = 80, making option D correct. Options A, B, and C are incorrect as they do not match the result of this multiplication.
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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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