7
$\begingroup$
624  -->   20
532  -->  117
634  -->  152
723  -->   40
443  -->  175
825  -->   ?

What should be filled in the last place so as to maintain the logical pattern?

$\endgroup$
8
$\begingroup$

The answer is:

$39$

because the digits are used as follows:
$6^2 - 4^2 = 20$
$5^3 - 2^3 = 117$
$6^3 - 4^3 = 152$
$7^2 - 3^2 = 40$
$4^4 - 3^4 = 175$
$8^2 - 5^2 = 39$

$\endgroup$

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