Quantitative Aptitude Ques 2235

Question: Find the unit digit in the product $ {{(4387)}^{245}}\times {{(621)}^{72}} $

Options:

A) 1

B) 2

C) 5

D) 7

Show Answer

Answer:

Correct Answer: D

Solution:

  • Given, $ {{(4387)}^{245}}\times {{(621)}^{72}} $ To find the unit digit, we have to divide the index of given numbers by 4. In, $ 245\div 4. $ Remainder $ =1 $ and in $ 72\div 4. $ Remainder $ =0 $ (when remainder comes 0, the index would be 4) Hence, $ {{(4387)}^{1}}\times {{(621)}^{4}}=7^{1}\times 1^{4}=7\times 1=7 $
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