Question
What is the remainder when 1091 is divided by 13?
Answer: Option D
:
D
option d
10113∣R=10
10213∣R=9
10313∣R=(−1)
Thus,
10613∣R=1
Since, 10613∣R=1=103×10313∣R=(−1)×(−1)=1
Hence we get 1090∣R=1, we are left with 101 which will give a remainder of 10, hence the remainder will be 10 or option d.
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:
D
option d
10113∣R=10
10213∣R=9
10313∣R=(−1)
Thus,
10613∣R=1
Since, 10613∣R=1=103×10313∣R=(−1)×(−1)=1
Hence we get 1090∣R=1, we are left with 101 which will give a remainder of 10, hence the remainder will be 10 or option d.
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