Question

3 is next to 5, 2 is not next to 3, 2 is not next to 4, 1 is not next to 4, 1 is in hundreds place.
Find the 5 digit numbers by using the clues given above.

Answer 1

Answer: The numbers are 42135 and 42153 and 35124 and 53124

Step-by-step explanation:

Given, that 3 is next to 5, 2 is not next to 3, 2 is not next to 4, 1 is not next to 4, and 1 is in the hundreds place.

Also, given that it's a 5-digit number.

Let the number be abcde

Now, 1 is in the hundreds place. So, the number now is ab1de

Now, 1 is not next to 4, so the number is either 4b1de or ab1d4

Case 1: 4b1de

2 is not next to 3 and 3 is next to 5

So the number is either 42135 or 42153

Case 2: ab1d4

2 is not next to 3 and 3 is next to 5

So, the number is either 35124 or 53124

The numbers are 42135 and 42153 and 35124 and 53124

To know more about numbers, click on the links below:

https://brainly.in/question/4603896

https://brainly.in/question/10955793

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Answer 2

Answer:

The required number is 24153.

Step-by-step explanation:

Step 1 of 1

According to the question,

The number 3 is next to 5, i.e.,

The number 3 comes after the number 5.

⇒ 53 . . . . . (i)

The number 2 is not next to 3, i.e.,

The number 2 comes before the number 3.

⇒ 253 or 523

But from (i), 3 is next to 5.

So, the only possible condition is,

⇒ 253 . . . . (ii)

The number 2 is not next to 4, i.e.,

The number 2 comes before the number 4.

⇒ 24

From (ii), we get,

⇒ 2453

Lastly, the number 1 is in hundredth place.

⇒ 24153

Final answer: The required number is 24153.

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