Name: Prime Numbers: Introduction
Uploaded: 2019-07-19
Duration: 9 min 26 s
Description: Is math real or simply something made up by mathematicians? You can't physically touch a number yet using numbers we're able to build skyscrapers.

Question

Given a set of numbers:

$10032, 49753, 21204, 23229, 880176, 937541, 931510$ .

Find the numbers divisible by $11$

Accepted Answer

Given set of numbers:

$10032, 49753, 21204, 23229, 880176, 937541, 931510$ .

We know, a number is divisible by $11$ , if the difference between the sum of the digits in the odd places and the sum of the digits in even places is either $0$ or a multiple of $11$ .

Let us check divisibility of given number by $11$ :

$1 .$ For $10032$ , the difference between sum of digits in odd and even places $= (1 + 0 + 2) - (0 + 3) = 3 - 3 = 0$

The number $10032$ is divisible by $11$ .

$2 .$ For $49753$ , the difference between sum of digits in odd and even places $= (4 + 7 + 3) - (9 + 5) = 14 - 14 = 0$

The number $49753$ is divisible by $11$ .

$3 .$ For $21204$ , the difference between sum of digits in odd and even places $= (2 + 2 + 4) - (1 + 0) = 8 - 1 = 7$

The number $21204$ is not divisible by $11$ .

$4 .$ For $23229$ , the difference between sum of digits in odd and even places $= (2 + 2 + 9) - (3 + 2) = 13 - 5 = 8$

The number $23229$ is not divisible by $11$ .

$5 .$ For $880176$ , the difference between sum of digits in odd and even places $= (8 + 0 + 7) - (8 + 1 + 6) = 15 - 15 = 0$

The number $880176$ is divisible by $11$ .

$6 .$ For $937541$ , the difference between sum of digits in odd and even places $= (9 + 7 + 4) - (3 + 5 + 1) = 20 - 9 = 11$

The number $937541$ is divisible by $11$ .

$7 .$ For $931510$ , the difference between sum of digits in odd and even places $= (9 + 1 + 1) - (3 + 5 + 0) = 11 - 8 = 3$

The number $931510$ is divisible by $11$ .

So, the numbers divisible by $11$ are $10032, 49753, 880176$ and $937541$

Given a set of numbers:

$10032, 49753, 21204, 23229, 880176, 937541, 931510$ .

Find the numbers divisible by $11$

Important Questions on Playing with Numbers

Learn and Prepare for any exam you want !

Given a set of numbers: 10032,49753,21204,23229,880176,937541,931510. Find the numbers divisible by 11

Important Questions on Playing with Numbers

Learn and Prepare for any exam you want !

Given a set of numbers:

$10032, 49753, 21204, 23229, 880176, 937541, 931510$ .

Find the numbers divisible by $11$