Question
Question: The remainder when 27<sup>40</sup> is divided by 12...
The remainder when 2740 is divided by 12
A
3
B
7
C
9
D
11
Answer
9
Explanation
Solution
2740 = 3120 = 3.3119 = 3(4 – 1)119
= 3(119C04119 ..... + 119C1184 – 119C119)
= 3(4k – 1) = 12k – 3
Ž 12(k – 1) + 9
reminder is 9