Latest Maths Olympiad Aptitude Question SOLUTION: In a book with page numbers from 1 to 100, some pages are torn off. The sum of the numbers on the remaining pages is 4949. How many pages are torn off?

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Previous Question: A convex polygon is such that the distance between any two vertices of does not exceed 1. (i) Prove that the distance between any two points on the boundary of does not exceed 1. (ii) If X and Y are two distinct points inside, prove that there exists a point Z on the boundary of such that XZ + Y Z 1. Next Question: Show that there is no integer a such that a^2 - 3a - 19 is divisible by 289.

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In a book with page numbers from 1 to 100, some pages are torn off. The sum of
the numbers on the remaining pages is 4949. How many pages are torn off?: Asked In Maths Olympiad MAN (10 years ago); Unsolved Read Solution (2); Is this Puzzle helpful? (3) (1) Submit Your Solution

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Previous Question: A convex polygon is such that the distance between any two vertices of does not exceed 1. (i) Prove that the distance between any two points on the boundary of does not exceed 1. (ii) If X and Y are two distinct points inside, prove that there exists a point Z on the boundary of such that XZ + Y Z 1. Next Question: Show that there is no integer a such that a^2 - 3a - 19 is divisible by 289.

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