Question 251987: Q.1:-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?
Q.2:- Let ABC be a triangle in which AB=AC and let I be its in-centre. suppose BC=AB+AI.find the angle BAC?
Q.3:-Show that there is no integer a such that a^2-3a-19 is divisible by 289?
Q.4:-Find the sum of all 3-digit natural numbers which contain at least one odd digit and at least one even digit?
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! numbers from 1 to 100 add up to 50*101=5050
5050-4949=101
So anywhere from 2 [pages 50 and 51}
It doesn't say they are consecutive pages torn off.
3 pages-24,25,52
4 pages-12,13,24,52
etc
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