Quantitative Aptitude Ques 887

Question: The unit digit in the product $ {{(122)}^{173}} $ is

Options:

A) 2

B) 4

C) 6

D) 8

Show Answer

Answer:

Correct Answer: A

Solution:

  • We know, $ 2^{1}=2 $

$ \Rightarrow $ $ 2^{2}=4 $

$ \Rightarrow $ $ 2^{3}=6 $

$ \Rightarrow $ $ 2^{4}=16 $

$ \Rightarrow $ $ 2^{5}=32 $

$ \Rightarrow $ 2 repeats at unit place after power of 4. Now, $ {{(122)}^{173}}={{(122^{4})}^{43}}\times 122 $ Unit digit in $ {{(122)}^{173}} $ = Unit digit in $ {{(122^{4})}^{43}}\times $ Unit digit in 122 = Unit’s digit in $ (6\times 2)=2 $

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