Question

The reminder of 2005^2002 + 2002^2005
when divided by 200
is

[Odisha 2012)
(1) 0 (2) 1 (3) 2(4)3
​

Answer 1

Answer:

0

Step-by-step explanation:

Suppose (2005^2002)

+(2002^2005)

When we divide 2005 by 200 we get remainder as

200

5

Now, Remainder =

200

5

<1

and (Remainder)

0Suppose (2005)

2002

+(2002)

2005

When we divide 2005 by 200 we get remainder as

200

5

Now, Remainder =

200

5

<1

and (Remainder)

0

tends to 0(∵ Remainder is small )

Similarly, when we divide 2002 by 200 we get

remainder as

200

2

Again (Remainder)

0

tends to 0.

∴ Required answer =0