The digit in unit's place of the number \[{{(1570)}^{2}}+{{(1571)}^{2}}+{{(1572)}^{2}}+{{(1573)}^{2}}\]is |
A) 4
B) 2
C) 1
D) 3
Correct Answer: A
Solution :
Unit digit of \[{{(1570)}^{2}}=0\] |
Unit digit of \[{{(1571)}^{2}}=1\] |
Unit digit of \[{{(1572)}^{2}}=4\] |
Unit digit of \[{{(1573)}^{2}}=9\] |
Required unit digit = Unit digit of |
\[(0+1+4+9)=14\] |
\[\therefore \] Unit digit = 4 |
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