What is the units digit of 17^83 × 13^52 × 11^87?	Select the correct option.
A) 4	B) 5	C) 6	D) 7	E) 8
To find : the units digit of 17^83 × 13^82 × 11^87   Let's reduce the clutter and simplify the product   (7^83) (3^82) (1^87)   7 has a cyclicity of 4 : the last digit of any positive power of 7 repeats itself after every 4th power   so 7^5 has the same last digit as 7^1, 7^9, 7^13   Thus , 7^83 has the same last digit as 7^3, 7^7, 7^11 i.e.3   3 has a cyclicity of 4 : exactly the same routine as above   Thus , 3^82 has the same last digit as 3^2, 3^6, 3^10 i.e.9   Any power of 1 will result in1as the last digit   So, product of our last digits = 3 x 9 x 1 = 27....last digit is 5   Correct Option : 5
<result>B</result>
What is the units digit of 17^83 × 13^52 × 11^87?