Question & Answer
QUESTION

Difference of smallest 6-digit number and greatest 4-digit number is
a)1
b)90,000
c)90,001
d)9,00,001

ANSWER Verified Verified
Hint: The smallest 6-digit number is 1,00,000. The greatest 4-digit number is 9,999.

Complete step-by-step answer:
First, we have to get the smallest 6-digit number. It will obviously consist of 6 digits only. Now the smallest digit in spite of being 0 cannot be in the leftmost place because then it will be no more than a 6-digit number. Therefore, it will be the next number after 0 which is 1. The rest of the digits will be 0 to make it smallest among all 6-digit numbers. Hence, the smallest 6-digit number is 1,00,000.
Now, we have to get the greatest 4-digit number. It will obviously consist of 4 digits only. Now the greatest digit is 9. Therefore, the leftmost digit will be 9. The rest of the digits will be 9 to make it largest among all 4-digit numbers. Hence, the largest 4-digit number is 9,999.
Now we have to compute the difference. So the difference between the smallest 6-digit number and greatest 4-digit number is = \[1,00,000-9,999=90,001\].
Hence, the correct option to this given question is option (c) 90,001
Note: To verify subtract 1 from 1,00,000 and we will get 99,999 which is a 5-digit number. So 1,00,000 is the smallest one. Again add 1 to 9,999 and we will get 10,000 which is a 5-digit number. So, 9,999 is the greatest one.