The largest 4-digit and smallest 4-digit numbers formed by using the digits 4,0,3,7 each only once respectively are: (1) 4370, 4307 (2) 3740, 3047 (3) 7403, 3704 (4) 7430, 3047

The largest and smallest 4-digit numbers are 1000 and 9999 respectively.

Answer: The largest and smallest 4-digit numbers formed using the digits 4, 0, 3, 7 are 7430 and 3047 respectively.

Let's find the largest 4-digit and smallest 4-digit numbers formed using the given digits.

Explanation:

Let's first form the largest 4-digit number using the digits 4, 0, 3, 7:

Formation of the Largest 4-digit number with the given digits:

To find the largest number, we will arrange the given digits in descending order, that is 7 > 4 > 3 > 0.

The sequencing of these digits forms the number 7430, which is the largest 4-digit number using the given digits.

Therefore, the largest 4-digit number formed: 7430

Formation of the Smallest 4-digit number with the given digits:

Let's now get the smallest 4-digit number using the digits 4, 0, 3, 7:

Now to find the smallest number, we will arrange the given digits in ascending order, that is 0 < 3 < 4 < 7.

The sequencing of these digits forms the number 0346, which is equal to 347 and is a 3-digit number.

So let's exchange 0 by the next number in the sequence, so we get the sequence as 3, 0, 4, 7 and thus the number formed is 3047 which is a 4-digit number and is also the smallest.

Therefore, the smallest 4-digit number formed: 3047

Hence, option (4) 7430, 3047, is the correct answer.