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 Question: From a book, a number of pages are missing. The sum of the page numbers of these pages is 9808. Which pages are missing?
 Answer: Let the number of missing pages be n and the first missing page p+1. Then the pages p+1 up to and including p+n are missing, and n times the average of the numbers of the missing pages must be equal to 9808:
n×( ((p+1)+(p+n))/2 ) = 9808
In other words:
n×(2×p+n+1)/2 = 2×2×2×2×613
So:
n×(2×p+n+1) = 2×2×2×2×2×613
One of the two terms n and 2×p+n+1 must be even, and the other one must be odd. Moreover, the term n must be smaller than the term 2×p+n+1. It follows that there are only two solutions:
n=1 and 2×p+n+1=2×2×2×2×2×613, so n=1 and p=9808, so only page 9808 is missing. n=2×2×2×2×2 and 2×p+n+1=613, so n=32 and p=290, so the pages 291 up to and including 322 are missing.
Because it is asked which pages (plural) are missing, the solution is: the pages 291 up to and including 322 are missing. .
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Question:
From a book, a number of pages are missing. The sum of the page numbers of these pages is 9808. Which pages are missing?
 Answer:
Let the number of missing pages be n and the first missing page p+1. Then the pages p+1 up to and including p+n are missing, and n times the average of the numbers of the missing pages must be equal to 9808:
n×( ((p+1)+(p+n))/2 ) = 9808
In other words:
n×(2×p+n+1)/2 = 2×2×2×2×613
So:
n×(2×p+n+1) = 2×2×2×2×2×613
One of the two terms n and 2×p+n+1 must be even, and the other one must be odd. Moreover, the term n must be smaller than the term 2×p+n+1. It follows that there are only two solutions:
n=1 and 2×p+n+1=2×2×2×2×2×613, so n=1 and p=9808, so only page 9808 is missing. n=2×2×2×2×2 and 2×p+n+1=613, so n=32 and p=290, so the pages 291 up to and including 322 are missing.
Because it is asked which pages (plural) are missing, the solution is: the pages 291 up to and including 322 are missing. . Source: CoolInterview.com
we cannot say so because there can be any number of pages missing and whose sum adds up to 9808 Source: CoolInterview.com
 Answered by: Preetam Ghosh | Date:
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we dont know how many pages are there in the book . so it can be the sum of two pages where the page is page no 1 and page no 9807 Source: CoolInterview.com
Answered by: balaji venkataramanan.s | Date: 3/27/2009
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Let the number of missing pages be n and the first missing page p+1. Then the pages p+1 up to and including p+n are missing, and n times the average of the numbers of the missing pages must be equal to 9808:
n? ((p+1)+(p+n))/2 ) = 9808
In other words:
n?2?+n+1)/2 = 2????13
So:
n?2?+n+1) = 2?????13
One of the two terms n and 2?+n+1 must be even, and the other one must be odd. Moreover, the term n must be smaller than the term 2?+n+1. It follows that there are only two solutions:
n=1 and 2?+n+1=2?????13, so n=1 and p=9808, so only page 9808 is missing. n=2???? and 2?+n+1=613, so n=32 and p=290, so the pages 291 up to and including 322 are missing.
Because it is asked which pages (plural) are missing, the solution is: the pages 291 up to and including 322 are missing. .
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we cannot say so because there can be any number of pages missing and whose sum adds up to 9808
Source: CoolInterview.com
Answered by: gopi | Date: 7/22/2009
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Answer : cannot be determined but
1 page - Page no. 62. is definitely missing.
Given that sum of the page nos . is 9808 with n no. of pages missing.
dat means 9808 is a lesser value than xpected as some pages hv been missed.
sum of Page nos = 1+2+3 ... +138 = 9591.
add 1 more page, 9591 + 139 = 9730
add 1 more page, 9730 + 140 = 9870
9870 is the 1st highest value than 9808 .. therefore page missing is 9870 - 9808 = page no. 62 ...
9870 + 141 (nxt page) = 10011, 10011 - 9808 = 203 > pg no. 203 is the next missing page after page no. 62 and so on .. Source: CoolInterview.com
Answered by: Rahul Raje | Date: 7/22/2009
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The first solutions assumes that pages are missing continously, 291,292,293..... but the question does not say that the missing pages are continous pages. Source: CoolInterview.com
Answered by: suhail | Date: 10/17/2009
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There can 2^9808-1 possible answers to this question. Source: CoolInterview.com
Answered by: Nitika Goel | Date: 11/13/2009
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The question is invalid.
9808 can never be the sum of the pages missing.
each missing page will sum up to an odd number and sum of 3 odd numbers cannot be an even number.
So no way a combination to 9808 can be made. Source: CoolInterview.com
Answered by: Ashish | Date: 2/9/2010
| Contact Ashish
a page missing => page no.s n &(n+1) missing( where n is odd, bec its the front page) => sum = (2n+1)
assuming 2 mising pgs =>
2x+1 + 2y+1 = 9808 => x+y = 4903,which is invalid as x,y r odd.
so take no. of mising pages = 3,4,..,8. u will get a valid answer at 8: n1 + n2 + ...... +n8 = 4900, where n1 is the front page no. of the 1st missing page. find any 8 distinct odd no.s which add up to 4900 to get a poss soln. u can get other solns if u assume mising pgs>8.
Source: CoolInterview.com
Answered by: aditya saraf | Date: 2/19/2010
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A number of pages are missing... Source: CoolInterview.com
Answered by: Rajen | Date: 4/19/2010
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there can be varying answers as it is not mentioned that the missing pages are in order or not.also the number of pages in the book are not mentioned Source: CoolInterview.com
Answered by: aditi raghav | Date: 6/18/2010
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Only 3 pages are missing..
Page no 9000
page 800
and page 8..
In question it is not mentioned how many pages are missing or how many pages does book consist of. Source: CoolInterview.com
Answered by: jurv | Date: 8/3/2010
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The correct Answer is "62".
because if you take 140 pages in book.
sum=1+2+3+4+..................+140=9870
The require page is 9870-9808=62
So "62" is the Correct Answer. Source: CoolInterview.com
Answered by: Golla SivaNagaRaju | Date: 8/4/2010
| Contact Golla SivaNagaRaju
The question is incorrect.
But the correct answer is "62". Source: CoolInterview.com
Answered by: Golla SivaNagaRaju | Date: 8/4/2010
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the page numbers starting "from to end" should be given or the total of pages of the book should be given. Source: CoolInterview.com
Answered by: kavitha | Date: 9/1/2010
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If you have the better answer, then send it to us. We will display your answer after the approval.
Rules to Post Answers in CoolInterview.com:-
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Question: From a book, a number of pages are missing. The sum of the page numbers of these pages is 9808. Which pages are missing?
Answer: Let the number of missing pages be n and the first missing page p+1. Then the pages p+1 up to and including p+n are missing, and n times the average of the numbers of the missing pages must be equal to 9808: 
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Answered by: Preetam Ghosh | Date:
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Payment of time- barred debt is:
(a) Valid
(b) Void
(c) Illegal
(d) Voidable