What will come in place of the question mark (?) in the following questions ?
$$5^{2} + 13^{2} - 11^{2} = (?)^{3} - 52$$
Let the unknown quantity be 'x'.
$$5^{2} + 13^{2} - 11^{2} = x^{3} - 52$$.
$$25+169-121=x^{3}-52$$.
$$x^{3}=73+52$$.
$$x^{3}=125$$.
$$x^{3}=5^{3}$$.
Comparing both sides,
$$x=5$$.
Hence, Option D is correct.
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