Question

Which of the following
numbers is divisible by 11
153109
271231
97082
865730​

Answer 1

Answer:

153109

Explanation:

{Add and subtract digits in an alternating pattern (add digit, subtract next digit, add next digit, etc). Then check if that answer is divisible by 11}

Now ,

(153109) => +1-5+3-1+0-9 = -11

(271231) => +2-7+1-2+3-1 = -4

(97082) => +9-7+0-8+2 = -4

(865730) => +8-6+5-7+3-0 = 3

Now it's clear 153109 is divisible by 11

Answer 2

The Number Divisible By 11 Is 153109

GIVEN:

value of Divisor = 11

Numbers- 153109, 271231,97082,865730.

TO FIND-

Number divisible by 11.

SOLUTION-

We can simply solve the problem as under.

For a number to be divisible by 11 the difference between the sum of digits in an even place and the sum of digits in an odd place should either be equal to zero or divisible by 11.

So the first number - 153109

the sum of digits in even place = 5+1+9 = 15

the sum of digits in odd place = 1+3+0 = 4

Difference = 15-4 = 11

The difference 11 is divisible by 11

So, The Number 153109 Is Divisible By 11.

Similarly, For the second number, 271231

the sum of digits in an even place = 7+2+1 = 10

the sum of digits in odd place = 2+1+3 = 6

Difference = 10-6

The difference is neither zero nor divisible by 11.

So, The Number 271231 Is Not Divisible By 11.

Similarly, For the third number, 97082

the sum of digits in even place = 7+8= 15

the sum of digits in odd place = 9+0+2=11

Difference = 15-11 = 4

The difference is neither zero nor divisible by 11.

So, the number 97082 is not divisible by 11.

Similarly, For the fourth number, 865730

the sum of digits in even place = 6+7+0= 13

the sum of digits in odd place = 8+5+3=16

Difference = 16-13 = 3

The difference is neither zero nor divisible by 11.

So, The Number 865730 Is Not Divisible By 11.

Hence the number divisible by 11 is 153109

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