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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for "Square Root and Cube Root" under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.
Q. The cube root of .000216 is:
- a)0.6
- b)0.06
- c)77
- d)87
Correct answer is option 'B'. Can you explain this answer?
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Understanding Cube Roots
To solve the problem of finding the cube root of 0.000216, we need to break it down step by step.
Step 1: Expressing the Number
0.000216 can be rewritten in scientific notation for easier calculation:
- 0.000216 = 216 × 10^(-3)
Step 2: Finding the Cube Root of 216
Next, we compute the cube root of 216:
- 216 can be factored as 6 × 6 × 6, or 6^3.
Thus, the cube root of 216 is:
- cube root of 216 = 6.
Step 3: Adjusting for the Decimal
Now, since we have a factor of 10^(-3), we need to account for that when finding the cube root:
- cube root of 10^(-3) = 10^(-3/3) = 10^(-1) = 0.1.
Step 4: Combining the Results
Now, we can combine our results:
- cube root of 0.000216 = cube root of (216 × 10^(-3)) = cube root of 216 × cube root of 10^(-3) = 6 × 0.1 = 0.6.
Conclusion
Thus, the cube root of 0.000216 is:
- 0.6, which corresponds to option A.
However, it appears there was a mistake in the correct answer provided in the question, as the correct answer should actually be option 'A' (0.6) and not 'B' (0.06).
Always double-check your calculations to ensure accuracy!
To solve the problem of finding the cube root of 0.000216, we need to break it down step by step.
Step 1: Expressing the Number
0.000216 can be rewritten in scientific notation for easier calculation:
- 0.000216 = 216 × 10^(-3)
Step 2: Finding the Cube Root of 216
Next, we compute the cube root of 216:
- 216 can be factored as 6 × 6 × 6, or 6^3.
Thus, the cube root of 216 is:
- cube root of 216 = 6.
Step 3: Adjusting for the Decimal
Now, since we have a factor of 10^(-3), we need to account for that when finding the cube root:
- cube root of 10^(-3) = 10^(-3/3) = 10^(-1) = 0.1.
Step 4: Combining the Results
Now, we can combine our results:
- cube root of 0.000216 = cube root of (216 × 10^(-3)) = cube root of 216 × cube root of 10^(-3) = 6 × 0.1 = 0.6.
Conclusion
Thus, the cube root of 0.000216 is:
- 0.6, which corresponds to option A.
However, it appears there was a mistake in the correct answer provided in the question, as the correct answer should actually be option 'A' (0.6) and not 'B' (0.06).
Always double-check your calculations to ensure accuracy!
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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for"Square Root and Cube Root"under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q. The cube root of .000216 is:a)0.6b)0.06c)77d)87Correct answer is option 'B'. Can you explain this answer?
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