Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $71^{83}+73^{83}$ is divided by 36, then remainder is :

Options:

0

8

9

13

Correct Answer:

0

Explanation:

7183 + 7383

If n is odd number, Then, xn + an is always divisible by (x + a)

According to the question

7183 + 7383

Here, n = odd number = 83

So,  (x + a) = (71 + 73)  = 144

Now,

When 144 is divided by 36, we get remainder = 0