Question of IIT-A If 1 1 1 1 = 5 Then 5 5 5 5 = ?

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Question of IIT-A If 1 1 1 1 = 5 Then 5 5 5 5 = ?
Question of IIT-A

If
1 1 1 1 = 5
2 2 2 2 = 24
3 3 3 3 = 93
4 4 4 4 = 272
Then
5 5 5 5 = ?

Challenge all master brains! Explain with logic

The Puzzle is also circulating on Whatsapp as :
Question of IIT-A

If 1 1 1 1= 8 (here 8 is mistyped instead of 5)
2 2 2 2= 24
3 3 3 3= 93
4 4 4 4= 272
Then
5 5 5 5= ?

Challenge all master brains! Explain with logic

Click here for Answer

The Logic is :
(Product of all Numbers)+(Sum of all Numbers)=Answer
(1*1*1*1)+(1+1+1+1) = 5
(2*2*2*2)+(2+2+2+2) = 24
(3*3*3*3)+(3+3+3+3) = 93
(4*4*4*4)+(4+4+4+4) = 272
So,
(5*5*5*5)+(5+5+5+5) = 645 - Answer

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