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
732
990
1098
1305
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 1 of 3.

Anomie said:   6 years ago
There were 3 columns of digits.

1st column = 366.
2nd column = 366-9 = 357 (i.e 2nd column numbers start from end of number 9).
3rd column = 366-99 = 267 (i.e 3rd column numbers Start from end of number 99).

Hence answer will be 366+357+267= 990.
(8)

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.
(1)

Harvindra said:   8 years ago
Thanks for explaining the answer.
(1)

Hashi said:   9 years ago
Thanks a lot @Chandan Nayak & @Varinder.

Sano Vai said:   6 years ago
Simply: 189+ (366-99) *3= 990.

Sunita tamang said:   6 years ago
how is 1000 -1075

Muhammad umair zaman said:   7 years ago
No @Sadam.

Book has only 366 pages.

Sadam said:   7 years ago
@Shweta.

Solution:
1-9 Pages = 9 Digits.
10-99 Pages = 90*2 = 180 Digits.
100-999 Pages = 899 * 3 = 2697 Pages.
1000-1075 Pages = 75 * 4 = 300 Digits.
Hence for 1075 Pages total digits are (9 + 180 + 2697 + 300) = 3186.

So, total pages for 3186 digits are 1075 Pages.

Pranav said:   8 years ago
I didn't understand this problem clearly please explain me.

Rishav said:   8 years ago
Not understanding. Please help me.


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