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Harmonic Mean

If a * b = ...

Question

If $a * b = a^{3} + b^{3}$ on $Z$ then $(2 * 3)^{2}$ = _______

925

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1625

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35

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1225

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Solution

The correct option is C $1225$
$a * b = a^{3} + b^{3}$
For $a = 2$ and $b = 3$
$2 * 3 = 2^{3} + 3^{3} = 8 + 27 = 35$
$⟹ (2 * 3)^{2} = 35^{2} = 1225$

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