Binomial Theorem And Its Simple Applications Question 61

Question: If $ n\in N $ , then $ {11^{n+2}}+{12^{2n+1}} $ is divisible by

Options:

A) 113

B) 123

C) 133

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] Putting $ n=1 $ in $ {11^{n+2}}+{12^{2n+1}} $ We get, $ {11^{1+2}}+{12^{2\times 1+1}}=11^{3}+12^{3}=3059, $ which is divisible by 133.