Question

Sum of greatest five digit number and smallest three digit number is:
A) 10099
B) 100099
C) 1099
D) 10990

Answer 1

Hint: First of all write the greatest five digit number i.e. 99999 and the smallest three digit number which is 100 and add these two numbers then you will get the required answer.
Complete step-by-step answer:
As we have asked to find the sum of the greatest five digit number and the smallest three digit number so first of all we have to find the greatest five digit number and the smallest three digit number.
Now, what could be the greatest five digit number? Any five digit number has 5 digits which can take value from 0 to 9. We know that the greatest number from 0 to 9 is 9 so the five digit number that contains all the digits as 9 is the greatest 5 digit number. From the discussion that we just have the greatest 5 digit number is 99999.
What could be the smallest 3 digit number? Any 3 digit number can take values from 0 to 9. We know that the smallest number in 0 to 9 is 0 so all the three digits must be 0 for the smallest number but we know that the number of zeros before any number has no significance so 000 could not be the smallest 3 digit number. The number greater than 0 is 1 so in the three digit number if the first digit is 1 and the remaining two digits will be 0 then we can have the smallest 3 digit number. So the smallest 3 digit number is 100.
Adding the greatest 5 digit number and smallest 3 digit number we get,
99999 + 100
= 100099
Hence, the correct option is (B).

Note: There is a confusion that could happen in finding the largest x digits and smallest y digits number is:
The 3 digit largest number is 999 and the 4 digit smallest number is 1000 then you might think that 999 is the smaller than 1000 then how could 999 be the largest 3 digit number? The answer is 999 is the largest 3 digit number among all the 3 digit numbers that could be possible and 1000 is the smallest 4 digit number among all the 4 digit numbers that could be possible.