Bihar Police Constable Model Paper 6

Concept Used:
after multiplication by 3, the value of unit digit repeats after a periodicity of 4 , as it can be seen below
$3^1$ = 3
$3^2$ = 9
$3^3$ = 7
$3^4$ = 1
$3^5$ = 3
Calculation:
${\left(2153\right)}^{167}$ = ${\left({\left(2153\right)}^4\right)}^{41}\times {\left(2153\right)}^3$
Unit digit of the multiplication of ${\left(2153\right)}^{167}$ = 1 × 7 = 7
∴ required unit digit = 7