Question 1

Find the unit place digit in the expression $$(159)^{114}+(114)^{123}-(110)^{510}+(213)^{25}$$

Solution

Expression : $$(159)^{114}+(114)^{123}-(110)^{510}+(213)^{25}$$

= $$(159)^{4\times28+2}+(114)^{2\times61+1}-(110)^{510}+(213)^{4\times6+1}$$

To find the unit's digit,

$$\equiv$$ $$(9)^{2}+(4)^{1}-(110)^{510}+(3)^{1}$$

= $$1+4-0+3=8$$

=> Ans - (D)

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