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Four-fifth of one-eighth of 3/4th of A is 64. What is the cube root of 3/5th of A? 
  • a)
    5
  • b)
    8
  • c)
    3
  • d)
    4
Correct answer is option 'B'. Can you explain this answer?
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Four-fifth of one-eighth of 3/4thof A is 64. What is the cube root of ...
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Four-fifth of one-eighth of 3/4thof A is 64. What is the cube root of ...
**Given:**
- Four-fifths of one-eighth of three-fourths of A is 64.

**To find:**
The cube root of three-fifths of A.

**Solution:**
Let's break down the given information step by step.

1. Four-fifths of one-eighth of three-fourths of A is 64.
- Four-fifths of one-eighth: (4/5) * (1/8) = 4/40 = 1/10
- Three-fourths of A: (3/4) * A = 3A/4
- Combining the two: (1/10) * (3A/4) = 3A/40
- So, 3A/40 = 64

2. Solve for A:
- Multiply both sides of the equation by 40 to isolate A: (3A/40) * 40 = 64 * 40
- Simplifying: 3A = 2560
- Divide both sides of the equation by 3 to solve for A: A = 2560/3

3. Find the cube root of three-fifths of A:
- Three-fifths of A: (3/5) * A = (3/5) * (2560/3) = 2560/5 = 512
- Cube root of 512: ∛512 = 8

Therefore, the cube root of three-fifths of A is 8, which corresponds to option B.
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Four-fifth of one-eighth of 3/4thof A is 64. What is the cube root of 3/5thof A?a)5b)8c)3d)4Correct answer is option 'B'. Can you explain this answer?
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