9 : 512 :: ? : ?

7 : 206

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6 : 126

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5 : 65

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10 : 729

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Solution

The correct option is D 10 : 729
The logic is $x : (x - 1)^{3}$
$9 : (9 - 1)^{3} = 512$
Similarly
$10 : (10 - 1)^{3} = 729$

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Similar questions

$\sqrt[3]{\frac{- 512}{729}}$ = ?
(a) $\frac{- 7}{9}$ (b) $\frac{- 8}{9}$
(c) $\frac{7}{9}$ (d) $\frac{8}{9}$

\sqrt[3]{\frac{- 512}{729}}

35 \frac{5}{7} %

6510 + 77 \frac{7}{9} %

5886

Find the cube-roots of:

(i) $\frac{27}{64}$ (ii) $\frac{125}{216}$ (iiii) $\frac{343}{512}$

(iv) $64 \times 729$ (v) $64 \times 27$ (vi) $729 \times 8000$

(vii) $3375 \times 512$

Express $512 \times 729$ in exponential form:

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