What is the largest 8 digit number? (a). 888999 (b). 99999999 (c). 999999 (d). 8999999
Hint: The largest 8 digit number is formed by the largest digit among the digits 0 to 9. An addition of 1 to it results in the smallest 9 digit number. . Complete Step-by-Step solution: An 8 digit number begins with a crores place in the crores period. For example, 8,00,00,000 is a 8-digit number. The largest 8 digit number means that the number should have exactly 8 digits and any other 8 digit number is smaller than or equal to this number but never greater than this number. We have the digits from 0 to 9 to fill in each of the places such that the final number is the greatest 8 digit number. In the crores place, we fill the greatest digit among the digits from 0 to 9, which is 9. Hence, we have: 9 _ _ _ _ _ _ _ In the ten lakh’s place, we again fill the greatest digit among the digits from 0 to 9, which is again 9. Hence, we have: 9 9 _ _ _ _ _ _ In the lakh’s place, we again fill the greatest digit 9. Then, we have: 9 9 9 _ _ _ _ _ Hence, it follows a pattern and similarly, all the digits are chosen to be 9. Hence, the number is given as follows: 9 9 9 9 9 9 9 9 Hence, the greatest 8-digit number is 99999999. Hence, the correct answer is option (b).
Note: The option (c) resembles very well the correct answer, hence, you may choose it by mistake but note that it is a 6 digit number and not an 8 digit number. Hence, the option (c) is wrong.