Question 51

The units digit of the expression $$25^{6251} + 36^{528} + 73^{54}$$ is

Solution

Unit digit of 5 raised to any power = 5

Similarly, unit digit of 6 raised to any power = 6

Expression : $$25^{6251} + 36^{528} + 73^{54}$$

Now, unit digit of $$(3)^{54}=(3)^{4\times13+2}=(3)^2=9$$

Thus, sum of unit digits = $$5+6+9=20$$

Thus, $$0$$ is the unit digit of above expression.

=> Ans - (D)

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