Number Systems: What is the remainder when we divide 3^90 + 5^90 by 34?

Number System is easily the most important topic on the quant section of several aptitude exams. Not only is the topic vast, but it forms the basis for a lot of other topics and majority of questions in actual exam. 

This topic has a range of subtopics and the questions can vary from being very easy to tough in difficulty level. It is imperative that you solidify this topic from test prep point of you as it does have an impact in your preparation for other topics as well as the final result in a big way.

Solve the following question:

What else you can do inside qs leap ?

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What is the remainder when we divide 390 + 590 by 34?
(A) 0

(B) 1

(C) 17

(D) 33

(E) None of the foregoing

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