What is the total number of digits printed, if a book containing 150 pages is to numbered from 1 to 150?
- A262
- B342Correct
- C360
- D450
Explanation
The total number of digits is calculated by summing the digits used for pages with 1, 2, and 3 digits.
- Pages 1-9: There are 9 pages, each using 1 digit. Total = 9 * 1 = 9 digits.
- Pages 10-99: There are (99 - 10 + 1) = 90 pages, each using 2 digits. Total = 90 * 2 = 180 digits.
- Pages 100-150: There are (150 - 100 + 1) = 51 pages, each using 3 digits. Total = 51 * 3 = 153 digits.
Adding these totals: 9 + 180 + 153 = 342 digits.
Analyzing the options: A) 262 is incorrect. B) 342 is correct, matching our calculation. C) 360 is incorrect. D) 450 is incorrect.
The final answer is B.
Related questions
More UPSC Prelims practice from the same subject and topic.
- Prelims 2017CSATQuantitative Aptitude
Certain 3-digit numbers following characteristics: 1. All the three digits are different. 2. The number is divisible by 7. 3. The number on reversing the digits is also divisible by 7. How many such 3…
- Prelims 2017CSATQuantitative Aptitude
How many numbers arc there between 99 and 1000 such that the digit 8 occupies the units place?
- Prelims 2017CSATQuantitative Aptitude
The age of Mr. X last year was the square of a number and it would be the cube of a number next year. What is the least number of years he must wait for his age to become the cube of a number again?
- Prelims 2017CSATQuantitative Aptitude
A 2-digit number is reversed. The lamer of the two numbers is divided by it smaller one. What is the largest possible remainder?
- Prelims 2017CSATQuantitative Aptitude
There are certain 2-digit numbers. The difference between the number and the one obtained on reversing it is always How many such maximum 2-digit numbers are there?
- Prelims 2017CSATQuantitative Aptitude
If for a sample data Mean < Median < Mode then the distribution is