Question

The difference of sum of even places and the sum of its odd places is 0 and divisible by 11 . then the number is divisible by the 11.​

Answer 1

Step-by-step explanation:

If the difference is divisible by 11, then the original number is also divisible by 11. Here 2 is the difference which is not divisible by 11. Therefore, 2143 is not divisible by 11. Hence, the statement a number is divisible by 11 if the difference of sums of even and odd places is 0 or a multiple of 11 is true

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Answer 2

Given statement ia true.

• A number is divisible by 11 if the difference of sums of even and odd places is "0" or a multiple of 11.

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More to know

Divisibility Rule for 2 :

• If a number ends in a 0, 2, 4, 6 or 8, it is divisible by 2. All even numbers, are divisible by 2.

Divisibility Rule for 3 :

• if the sum of all digits of given number is divisible by 3. then it will divisible by 3

Divisibility Rule for 4 :

• if a number is divisible by 4 if its last two digits are divisible by 4.

Divisibility Rule for 5 :

• If the last number is either 0 or 5, the entire number is divisible by 5.

Divisibility Rule for 6 :

• if A number is divisible by 6 if its last digit is an even number or zero and the sum of the digits is a multiple of 3.

Divisibility Rule for 7 :

• If a number whose absolute difference between twice the units digit and the number formed by the rest of the digits is 0 0 0 or divisible by 7 7 7 is itself divisible by 7 7 7.

Divisibility Rule for 8 :

• If the last three digits of a whole number are divisible by 8.

Divisibility Rule for 9 :

• The divisibility test that an integer is divisible by 9 iff the sum of its digits is divisible by 9.

Divisibility Rule for 10 :

• If a number ends in a 0, it is divisible by 10. Also if a number is divisible by both 2 and 5, it is divisible by 10.