Question

# The reminder of $$\displaystyle 2005^{2002}+2002^{2005}$$ when divided by $$200$$ is $$........$$

A
0
B
1
C
2
D
3

Solution

## The correct option is A $$0$$Suppose $$(2005)^{2002}+(2002)^{2005}$$When we divide $$2005$$ by $$200$$ we get remainder as $$\dfrac {5}{200}$$Now, Remainder $$= \dfrac {5}{200} < 1$$and $$($$Remainder$$)^{0}$$ tends to $$0(\because$$ Remainder is small $$)$$Similarly, when we divide $$2002$$ by $$200$$ we getremainder as $$\dfrac {2}{200}$$Again $$($$Remainder$$)^{0}$$ tends to $$0$$.$$\therefore$$ Required answer $$=0$$Mathematics

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