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Algebra Level 1

Find the last digit of 5 0 2 + 10 0 2 + 5 3 50^2 + 100^2 + 5^3 .


The answer is 5.

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3 solutions

Rishabh Jain
Feb 2, 2016

5 0 2 50^2 and 10 0 2 100^2 both end in 0, hence last digit is determined by 5 3 5^3 which is 5 5 since 5 raised to any power always end in 5!!

Mateus Gomes
Feb 2, 2016

5 0 2 + 10 0 2 + 5 3 = 12625 50^2+100^2+5^3=12625

Ashish Menon
Jun 2, 2016

50 2 {50}^2 ends in 0 0 . 100 2 {100}^2 ends in 0 0 . 5 3 5^3 ends in 5 5 . So, the last digit of this sum is 5 \color{#69047E}{\boxed{5}} .

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