Verbal Reasoning - Arithmetic Reasoning - Discussion
Discussion Forum : Arithmetic Reasoning - Section 1 (Q.No. 46)
46.
The total number of digits used in numbering the pages of a book having 366 pages is
Answer: Option
Explanation:
Total number of digits
= (No. of digits in 1- digit page nos. + No. of digits in 2-digit page nos. + No. of digits in 3- digit page nos.)
= (1 x 9 + 2 x 90 + 3 x 267) = (9 + 180 + 801) = 990.
Discussion:
22 comments Page 2 of 3.
Hashi said:
9 years ago
Thanks a lot @Chandan Nayak & @Varinder.
Shweta said:
10 years ago
Sum of digits of a book is 3186. Find the total pages of book?
Jerry said:
10 years ago
If you are calling it Digit, it should be 10 digits. You shouldn't have used digits.
We have ten digit used and all of them are used before reaching 366. The ten digit are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,.... I understand your solving very well. You shouldn't have used digits in your question.
We have ten digit used and all of them are used before reaching 366. The ten digit are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,.... I understand your solving very well. You shouldn't have used digits in your question.
Kumar said:
1 decade ago
Well said by Praveen am easy to understood.
Soumya said:
1 decade ago
Why not 10? only 10 number of digits used worldwide. So number of digits used=10.
Varinder said:
1 decade ago
1-9 is only one digit so we take 9.
10-99 is only two digits so we take 90.
Total pages 366-90-9 = 267.
10-99 is only two digits so we take 90.
Total pages 366-90-9 = 267.
Samuelgbeneka said:
1 decade ago
From the question how did you know that the first digit has 9 pages? and that the next has 2 * 90. Please someone explain.
Chandan Nayak said:
1 decade ago
In total there are 366 pages! out of which First 9 pages having 1 digit nos (1x9=9 digits).
Next 90 pages having 2 digit nos (2 x 90=180 digits).
Remaining 267 pages having 3 digit nos (267x3 = 801 digits) so total will be 9+180+801 = 990 digits.
Next 90 pages having 2 digit nos (2 x 90=180 digits).
Remaining 267 pages having 3 digit nos (267x3 = 801 digits) so total will be 9+180+801 = 990 digits.
(1)
Nandhini said:
1 decade ago
Subtracting 99 pages from 367 we get 267 including 100 page (bcoz from 100th page 3digit nos starts. ).
Shefali chhabra said:
1 decade ago
I am still not clear about the solution. Where did 267 come from?
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