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HWPO
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Divisibility Rules of 11 Updated on: 17 Jun 2020, 10:06
Originally posted by HWPO on 08 Jun 2020, 08:52.
Last edited by HWPO on 17 Jun 2020, 10:06, edited 2 times in total.
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Hello guys, I hope you are all doing well.

I have two questions regarding numbers divided by 11 and other two-digit numbers and one regarding base fractions

1) As for 11, the rule is pretty simple: take the sum of the odd place digit, subtract from the sum of the even place digit. If the result is divided by 11 - the number itself is divided by 11.

Now, I was practicing on this rule, and I may have came across a number, which I though was not divisible by 11 but it is.

54328978014 / 11 ?

Sum of blue: (5+3+8+7+0+4)
Sum of black: (4+2+9+8+1)

=
27-24 = 3, which is not divisible by 11.

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Divisibility Rules of 11 09 Jun 2020, 21:11
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Anyone? I would really appreciate it !
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Divisibility Rules of 11 14 Jun 2020, 20:19
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DanielEMZ
Hello guys, I hope you are all doing well.

I have two questions regarding numbers divided by 11 and other two-digit numbers and one regarding base fractions

1) As for 11, the rule is pretty simple: take the sum of the odd place digit, subtract from the sum of the even place digit. If the result is divided by 11 - the number itself is divided by 11.

Now, I was practicing on this rule, and I may have came across a number, which I though was not divisible by 11 but it is.

54328978014 / 11 ?

Sum of blue: (5+3+8+7+0+4)
Sum of black: (4+2+9+8+1)

=
27-24 = 3, which is not divided by 11.
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Given number is not divisible by 11, please chk your calculation again.

Posted from my mobile device
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Divisibility Rules of 11 16 Jun 2020, 08:28
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DanielEMZ

I have two questions regarding numbers divided by 11 and other two-digit numbers and one regarding base fractions

1) As for 11, the rule is pretty simple: take the sum of the odd place digit, subtract from the sum of the even place digit. If the result is divided by 11 - the number itself is divided by 11.
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I can promise you will never have any use for that rule (or for similar rules for divisibility by 7) on the GMAT. You'd only ever need a rule like that if you needed to check if some number in the billions or trillions was divisible by 11, and that's not something the GMAT will ever ask, because it's just not an interesting question. I have a Masters degree in Number Theory, and I've literally never used the divisibility tests for 7 or 11, whether on the GMAT or in university Number Theory classes or anywhere else.

The divisibility tests for 2, 3, 5 and related numbers (like 4, 9, 10, etc) can be extremely useful, but those tests are also very simple, and that's what the GMAT is about - simple math, but often tested in logically tricky or inventive ways.
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Divisibility Rules of 11 24 Aug 2020, 12:05
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DanielEMZ
Hello guys, I hope you are all doing well.

I have two questions regarding numbers divided by 11 and other two-digit numbers and one regarding base fractions

1) As for 11, the rule is pretty simple: take the sum of the odd place digit, subtract from the sum of the even place digit. If the result is divided by 11 - the number itself is divided by 11.

Now, I was practicing on this rule, and I may have came across a number, which I though was not divisible by 11 but it is.

54328978014 / 11 ?

Sum of blue: (5+3+8+7+0+4)
Sum of black: (4+2+9+8+1)

=
27-24 = 3, which is not divisible by 11.
Show more


Hi DanielEMZ

54328978014 when divided by 11, gives a remainder of 3 [ take a calculator and divide 54328978014 by 11, and you'll get 4938998001.27

The 0.27 multiplied by 11 gives us 2.97 \(\approx\) 3


And by the rule of divisibility if the difference of sum of odd places - sum of digits in even places = 0 or 11, then that number is divisible by 11.

In this case you already have ford 27 - 24 = 3 and 3 indicates the remainder, which tallies with the remainder when we do the actual division.

Hope this helps

Arun Kumar
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Divisibility Rules of 11 02 Aug 2023, 05:45
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