you can solve windows update error 0x8024d001 via following some steps:
register wups2.dll file. for register it
For windows XP (Go to run item on start menu and type) and for windows Vista or 7 (go to start search box on the start menu and type):
a. For 32-bit
net stop wuauserv
regsvr32 %windir%\system32\wups2.dll
net start wuauserv
b. For 64-bit
net stop wuauserv
regsvr32 %windir%\syswow64\wups2.dll
net start wuauserv
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