Question

The digit in the units place of $\left[\right(251{)}^{98}+(21{)}^{29}-(106{)}^{100}+(705{)}^{35}-(16{)}^4+259]$ is

• A. 1
• B. 4
• C. 5
• D. 6

Answer 1

The correct option is B 4

Unit digit of $(251{)}^{98}$ = 1
Unit digit of $(21{)}^{29}$ = 1
Unit digit of $(106{)}^{100}$ = 6
Unit digit of $(705{)}^{35}$= 5
Unit digit of $(16{)}^4$ =6
Unit digit of 259 = 9

The digit in the units place of $\left[\right(251{)}^{98}+(21{)}^{29}-(106{)}^{100}+(705{)}^{35}-(16{)}^4+259]$ is 1+1-6+5-6+9 =4