Question

Suppose that the division x divided by 5 leaves a remainder 4 and the division x divided by 2 leaves a remainder 1. Find the ones digit of x

Answer 1

Answer:

The ones digit of that number will be 9.

Step-by-step explanation:

We can see that in the second statement...

It is written that if we divide x by 2 then we will get 1 as remainder.

So,

From this statement, we can conclude that the number must be an odd number... So the ones digit will be 1, 3, 5, 7, 9

Now,

In the first statement it is given that x divided by 5 leaves 4 as remainder...

So,

Now, we will try trial and error method...

1. First will take 1 as ones digit...

let's take 41 as example:

41 /5

= Quotient = 8 , Remainder = 1.

So, 1 will not be as ones digit...

2. Secondly, we will take 3 as ones digit...

Let's take 73 as example:

73 / 5

= Quotient = 14 , Remainder = 3

So, 3 will also not be preferred as ones digit.

3. And then, we will take 5 as ones digit...

Let's take 75 as example:

75 / 5

= Quotient = 15 , Remainder = 0

So, 5 will also not be preferred as ones digit.

4. And then, we will take 7 as ones digit...

Let's take 47 as example:

47 / 5

= Quotient = 9 , Remainder = 2

So, 7 will also not be preferred as ones digit.

5. Finally, we will take 9 as ones digit...

Let's take 19 as example:

19 / 5

= Quotient = 3 , Remainder = 4

So, 9 will be preferred as ones digit.

Hope it is helpful to you.

Please mark my answer as brainliest...

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