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The greatest 4-digit and the smallest 4-digit numbers formed by the digits 4,0,3,7 (each digit used only once) are respectively :
Question

The greatest 4-digit and the smallest 4-digit numbers formed by the digits 4,0,3,7 (each digit used only once) are respectively :

A.

4370,4307

B.

3740,3047

C.

7403,3704

D.

7430,3047

Correct option is D

Given:
Digits available: 4, 0, 3, 7
Each digit must be used only once.
Formula Used:
To form the greatest number, arrange digits in descending order.
To form the smallest number, arrange digits in ascending order without starting with 0.
Solution:
Forming the greatest 4-digit number:
Arrange 4, 0, 3, 7 in descending order: 7, 4, 3, 0.
The greatest number is 7430.
Forming the smallest 4-digit number:
Arrange 4, 0, 3, 7 in ascending order, but 0 cannot be the first digit.
The smallest non-zero digit is 3.
The remaining digits in ascending order are 0, 4, 7.
The smallest number is 3047.
The required numbers are 7430 and 3047 respectively.
Final Answer
So the correct answer is (d)

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