Question:medium
From a book, a number of consecutive pages are missing. The sum of the page numbers of these pages is 9808. Which pages are missing?
From a book, a number of consecutive pages are missing. The sum of the page numbers of these pages is 9808. Which pages are missing?
Show Hint
Write the sum of n consecutive integers as n(2a+n-1)/2 and factor 19616 to find how many pages are missing and where they start.
Updated On: Jul 14, 2026
- The page 9808 is missing.
- The pages 291 up to 322 are missing.
- The pages 291 up to and including 322 are missing
- Either a or c
Show Solution
The Correct Option is C
Solution and Explanation
Average of 32 consecutive integers summing to 9808 = 9808/32=306.5 (half-integer confirms even count 32). First=306.5-15.5=291, last=306.5+15.5=322.
Final Answer: 291 to 322 inclusive, option (3).
Final Answer: 291 to 322 inclusive, option (3).
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