Question

What is the remainder when we divide 390 + 590 by 34?
0
17
33
1

Answer 1

when we divide (390+590)=980/34, we get 28 as remaider.

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Answer 2

Option 1 - the remainder is 0.

Step-by-step explanation:

To find : What is the remainder when we divide $3^{90} + 5^{90}$ by 34?

Solution :

We know that,

If $a^n+b^n$  is divisible by a+b if n is odd.

$3^{90}=(3^2)^{45}=9^{45}$

$5^{90}=(5^2)^{45}=25^{45}$

On comparing, a=9, b=25 and n=45

Then $9^{45}+25^{45}$ is divisible by $9+25 = 34$.

Hence, the remainder is zero

Therefore, option 1 is correct.

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