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Number series
When \( \Large 2^{31} \) is divided by 5 the remainder is:
A) 4
B) 3
C) 2
D) 1
Correct Answer:
B) 3
Description for Correct answer:
\( \Large 2^{31}\div5 \)
Divide\( \Rightarrow \Large \frac{2^{31}}{5}=\frac{2^{4 \times 7} \times 2^{3}}{5} \)
\( \Rightarrow remainder = 3 \)
So \( \Large 2^{3} \) has 3 remainder
\( \Large 2^{31} \) has 3 remainder
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