Question : What will be the remainder when $7^{42}$ is divided by 48?
Option 1: 2
Option 2: 3
Option 3: 1
Option 4: 0
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Correct Answer: 1
Solution :
Given: $7^{42}$
= $(7^{2})^{21}$
= $(49)^{21}$
= $(48+1)^{21}$
So the remainder is 1.
Hence, the correct answer is 1.
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