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The value of cube root 729x21y51 is

Correct answer: D. 9x7y17

  • A. 1x63y115
  • B. None of these
  • C. 243x7y17
  • D. 9x7y17

Explanation

To find the cube root of 729x21y51, apply the cube root to each component separately. The cube root of 729 is 9 because 93 = 729. For the exponents, divide by 3: 21/3 = 7 for x and 51/3 = 17 for y. Therefore, the correct expression is 9x7y17. Options A and C miscalculate the numbers involved, and 'None of these' is incorrect because there is a correct answer provided.

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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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