If it takes one second to write down each digit, how long will it take to write down all the numbers from 1 to 1,000?
A) 48 min, 13 sec.
B) 105 min, 1 sec.
C) 91 min, 3 sec.
D) 48 min
E) 83 min, 6 sec.

Question

If it takes one second to write down each digit, how long will it take to write down all the numbers from 1 to 1,000? ​
A) 48 min, 13 sec.
B) 105 min, 1 sec.
C) 91 min, 3 sec.
D) 48 min
E) 83 min, 6 sec.

Quizplus · Accepted Answer

To calculate the time, consider the number of digits in each range: - 1 to 9: 9 numbers, each with 1 digit, so 9 digits in total. - 10 to 99: 90 numbers, each with 2 digits, so 180 digits in total. - 100 to 999: 900 numbers, each with 3 digits, so 2700 digits in total. - The number 1000 has 4 digits. Adding these up gives 9 + 180 + 2700 + 4 = 2893 digits. Since it takes one second to write each digit, it will take 2893 seconds in total. Converting 2893 seconds to minutes and seconds gives 48 minutes and 13 seconds.

If It Takes One Second to Write Down Each Digit