Remainder of Power of 3 Divided by 11
CAT 2024 Slot 2 · Quantitative Ability · Easy · Number Systems
This is an easy Quantitative Ability question from the CAT 2024 Slot 2 paper. It tests Number Systems. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
When is divided by , the remainder is
- A.
1
- B.
10
- C.
6
- D.
5
Answer
D
Explanation
By Fermat's Little Theorem or modular arithmetic: . Now, . So, .
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