Quantitative Aptitude Ques 2155

Question: Find the remainder when $ 7^{1987} $ is divided by 5. [NICL (AAO) 2011]

Options:

A) 1

B) 2

C) 3

D) 4

E) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ 7^{1987}={7^{4,\times ,446}}\cdot 7^{3} $ $ ={{1.7}^{3}} $ $ [\because 7^{4}=1unit,digit] $ $ =343 $ 343 divided by 5, then remainder is 3.
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