Question

If x = $(164)^{169}$ + $(333)^{337}$– $(727)^{726}$, then what is the units digit of x?

• A. 5
• B. 9
• C. 7
• D. 8

Answer 1

Answer:

D. 8

⇒ 69/4 = Reminder 1 ⇒ 37/4 = Reminder 1 ⇒ 26/4 = Reminder 2 ⇒ 4^1 + 3^1 – 7^2 ⇒ 4 + 3 – 9 ⇒ 7 – 9 or, 17 – 9 ⇒ 8 So, the unit digit of number x is 8.