The last digit in the integer 3101+1 is

Question

The last digit in the integer 3101+1 is (A)  1  (B)  2  (C)  3  (D)  4

Tardigrade Admin · Accepted Answer

The given integer is 3101+1. Unit digit in 31=3 in 32=9 in 33=7 in 34=1 in 35=3 [repeat] Now, on dividing 101 by 4 we get remainder =1 ∴ Last digit in the integer 3101+1 =31+1=4

Q. The last digit in the integer $3^{101} + 1$ is

$1$

$2$

$3$

$4$

The given integer is $3^{101} + 1.$
Unit digit in $3^{1} = 3$ in $3^{2} = 9$ in $3^{3} = 7$ in $3^{4} = 1$ in $3^{5} = 3$ [repeat]
Now, on dividing 101 by 4 we get remainder =1
$∴$ Last digit in the integer $3^{101} + 1$
$= 3^{1} + 1 = 4$

Q. The last digit in the integer 3101+1 is

1

2

3

4

The given integer is 3101+1. Unit digit in 31=3 in 32=9 in 33=7 in 34=1 in 35=3 [repeat] Now, on dividing 101 by 4 we get remainder =1 ∴ Last digit in the integer 3101+1 =31+1=4

Q. The last digit in the integer $3^{101} + 1$ is

$1$

$2$

$3$

$4$

The given integer is $3^{101} + 1.$
Unit digit in $3^{1} = 3$ in $3^{2} = 9$ in $3^{3} = 7$ in $3^{4} = 1$ in $3^{5} = 3$ [repeat]
Now, on dividing 101 by 4 we get remainder =1
$∴$ Last digit in the integer $3^{101} + 1$
$= 3^{1} + 1 = 4$