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# Test the pisibility of the following numbers by $11$:

**a.** $7169803$

**b.** $901351$

**c. **$818950$

**Given:** Numbers: **a.** $7169803$ **b.** $901351$ **c.** $818950$

**To do:** To test the divisibility of the given numbers by $11$.

**Solution:**

If the difference of the sum of its digits at odd places and sum of its digits at even places is either $0$ or multiple of $11$ then the given number is divisible by $11$.

**a. **$7169803$

Sum of the digits at odd $=7+6+8+3=24$

Sum of the digit at even place$=1+9+0=10$

Difference between the sums$=10-24=-14$

$-14$ is not divisible by $11$

Thus, $7169803$ is not divisible by $11$.

**b.** $901351$

Sum of the digits at odd places $=0+3+1=4$

Sum of the digits at even places $=9+1+5=15$

Difference of the two sums$=4-15=-11$

Thus, $901351$ is divisible by $11$.

**c. **$818950$

Sum of the digits at odd places $=1+3+0=4$

Sum of the digits at even places $=5+1+9=15$

Difference of the two sums$=15-4=11$

Thus, $901351$ is divisible by $11$.