Question

Which of the following is/are true?

1) $(7\times 241+3{)}^{2608}=7k+3^{2608}$

2) $(7\times 372+4{)}^{1609}=7m+4^{1609}$

k and m are positive integers

• A. 1&2
• B. only 1
• C. only 2
• D. None of them

Answer 1

The correct option is A

1&2

When we expand, except the last term, every other term will be a multiple of 7. So we can write it as $7k+3^{2608}$(The last term is $3^{2608}$)

Similarly, we can write $(7\times 372+4{)}^{1609}$ as $7m+4^{1609}$