Question

What should we written in the place of*so that 56*881 is divisible by 11
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Answer 1

Answer:

2

Step-by-step explanation:

To find this, you should know the divisibility test of 11.

Divisibility test of 11 that a number is divisible by 11 if the difference of sum of alternate digits of the number is either 0 or equal to 11.

Example, 121

Sum of alternative digits = 1+1 = 2

Sum of another set of alternate digit = 0+2 = 2

Difference = 2 - 2 = 0

Since difference = 0,

Therefore, 121 is divisible by 11

Another example, 1342

Sum of alternate digit = 3+2 = 5

Sum of another set of alternate digit = 1+4 = 5

Difference = 5 - 5 = 0

Since difference is 0, 11 divides 1331.

Another example, 506

Sum of alternate digits = 5+6 = 11

Sum of another set of alternate digits = 0

Difference = 11

Since difference is 11,

Therefore 11 divides 506.

Now the question, 56*881

Let number required be x.

So, 56x881

Sum of alternate digits

= 6+8+1 = 15

Sum of another set of alternate digits = 5+x+8 = 13+x

Now you have to make difference 0, then only the given number will be divisible by 11.

So, 15 - (13 + x) = 0

15 - 13 - x = 0

2 - x = 0

- x = - 2

x = 2

So, 2 should be written in place of *