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Q.

The difference between the largest 5 digit number and the smallest 5 digit number.
 


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a

90000

b

89999

c

109999

d

None  

answer is B.

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Detailed Solution

Here, we need to find the difference between the largest 5 digit number and the smallest 5 digit number.
Let us first find the largest 5 digit number.
As we know, 9 is the largest digit, so let us try to place 9 at all five places of the five-digit number we get the number as 99999. Now if we add 1 to it, the number becomes 100000 which is a six-digit number but we require the largest 5 digit number only. So 99999 is the largest 5 digit number.
Now, let us find the smallest 5 digit number.
We know, the smallest digit is 0. Placing 0 in all 5 places will give us a single-digit number only, so we need to place the second-lowest digit in the ten thousand places i.e. 1. So our number becomes 10000. Subtracting 1, we will get 9999 but it is a four-digit number. Therefore 10000 is the smallest 5 digit number.
Let us take difference between them i.e. 99999-10000 = 089999
So the required difference between the largest 5 digit number and the smallest 5 digit number is 89999.
 
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