Question

6. Using divisibility test. determine which of the following mumbers are divisible
by 11: a) 10600601 b) 169308​

Answer 1

Step-by-step explanation:

Determine which of the following numbers are divisible by 11?

Using divisibility test, determine which of the following numbers are divisible by 11: (a) 5445 (b) 10824 (c) 7138965 (d) 70169308

(e) 10000001 (f) 901153

Solution

20.

(a) 5445 Sum of the digits at odd places = 4+5 = 9

Sum of the digits at even places = 4+5=9

Difference of both sums = 9-9 = 0

Since the difference is 0, therefore, the number is divisible by 11.

(b) 10824 Sum of the digits at odd places = 4 + 8 +1 = 13

Sum of the digits at even places = 2+0=2

Difference of both sums = 13-2=11

(c) 7138965 Sum of the digits at odd places = 5+9+3+7=24

Sum of the digits at even places = 6+8+1=15

Difference of both sums=24-15=9

Since the difference is neither 0 nor 11, therefore, the number is not divisible by 11

(d) 70169308 Sum of the digits at odd places = 8 + 3 + 6 + 0 = 17

Sum of the digits at even places = 0 + 9 + 1 + 7 =17

Difference of both sums = 17 – 17 = 0

Since the difference is 0, therefore , the number is divisible by 11.

(e) 10000001 Sum of the digits at odd places = 1 + 0 + 0 + 0 = 1

Sum of the digits at even places = 0 + 0 + 0 + 1 = 1

Difference of both sums = 1-1=0

Since the difference is 0, therefore , the number is divisible by 11.

(f) 901153 Sum of the digits at odd places = 3 + 1 + 0 = 4

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

Difference of both sums = 15-4=11

Since the difference is 11, therefore, the number is divisible by 11.