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I have problem With divisibality problems which are asked a lot in TCS can anyone tell me tricks for divisability Factor problem?

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TCS Other Question

If the two expressions x2 – 11x + A and x2 – 14x + 2A have a common factor, find A.
The marked price of a coat was 40% less than the suggested retail price. Eesha purchased the coat for half the marked price at a fiftieth anniversary sale.what percent less than the suggested retail price did Eesha pay?
a)60%,b)20%,c)70% d)30%