What is the last digit of $(2015)^{2} + (2014)^{2} + (2013)^{2} + (2012)^{2} + (2011)^{2}$

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Solution

The correct option is C
5

Last digit of $(2015)^{2}$ = 5
Last digit of $(2014)^{2}$ = 6
Last digit of $(2013)^{2}$ = 9
Last digit of $(2012)^{2}$ = 4
Last digit of $(2011)^{2}$ = 1
Then, Last digit of $(2015)^{2} + (2014)^{2} + (2013)^{2} + (2012)^{2} + (2011)^{2}$ = Last digit of (5 + 6 + 9 + 4 + 1) = Last digit of (25) = 5

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What is the last digit of (2015)2+(2014)2+(2013)2+(2012)2+(2011)2

The correct option is C 5 Last digit of (2015)2= 5 Last digit of (2014)2 = 6 Last digit of (2013)2 = 9 Last digit of (2012)2 = 4 Last digit of (2011)2 = 1 Then, Last digit of (2015)2+(2014)2+(2013)2+(2012)2+(2011)2 = Last digit of (5 + 6 + 9 + 4 + 1) = Last digit of (25) = 5

What is the last digit of $(2015)^{2} + (2014)^{2} + (2013)^{2} + (2012)^{2} + (2011)^{2}$