CAT Exam

A book contains 50 pages,numbered from 1-50.Out of 50 pages some pages are tared or removed.The sum of the remaining page numbers is 4949.Find the number
of pages removed or tared?

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CAT Other Question

There are 10 barrels containing gold coins. In that, 9 barrels contains 1 gram gold coins and the other barrel contains 2 gram coins. Every coin looks to be same without any difference. As the barrels weigh more, so it cannot be lifted or moved from its place. There is a weighing machine which is allowed to weigh only once.
How to find that which of the barrels contain 2 gram coins.
If the roots of the equation x^3-ax^2+bx-c=0 are three consecutive integers, then what is the smallest possible value of b ?