Question

Is 6535 divisible by 11 ? Verify and how can we can verify that 6535 is divisible by 11 (please answer)​

Answer 1

nope, 6535 is not divisible by 11.

as we know, divisibility test of 11 : a number is divisible by 11 only when absolute value of difference of sum of digits of even position and sum of digits of odd position will be integral multiple of 11.

for instance, 234564 is divisible by 11 or not. let's check by checking divisibility test of 11.

sum of digits of even position = 3 + 5 + 4 = 12

sum of digits of odd position = 2 + 4 + 6

= 12

difference of sum of digits of even position and sum of digits of odd position = 12 - 12 = 0 = 11 × 0

hence, 234564 is divisible by 11.

now come to the question,

6535 , digits located in even position = 5, 5

and digits located in odd position = 6 , 3

so, (5 + 5) - (6 + 3) = 2 ≠ integral multiple of 11.

so, it is not divisible by 11.

also read similar questions : prove that n^3-n is divisible by 6 by euclid's division Lemma

brainly.in/question/2904939

what is Euclid's Division Lemma?

brainly.in/question/2549299

Answer 2

Answer:

6535 is not divisible by 11

Step-by-step explanation:

for checking the divisibilty with 11 we have to check the difference of sum of the even amd odd place digits of the number which is turn should be divisible by 11

lets check the same for the giv2n number-

6535

(6+3)-(5+5)

=9-10

=-1

-1 is clearly not divisible by the number 11

Therefore the given number 6535 is also not divisible by 11