CAT Exam Numerical Ability

A watch salesman strated his day with 11 identical watches. During the first hour of the day, he visited exactly 4 people and sold at least one watch. In how many ways could he have sold the watches during the first hour of the day?

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CAT Other Question

A shopkeeper has a faulty balance, in which the 2 pans have unequal weights. With his balance he weighs 10 kg of rice. However, the customer insists that the rice be kept in the other pan and weighted. The weight of the rice then turns out to be 8.5 kg. Find the actual weight of the rice. If x and y are even integers, then the no of solutions of x^2-y^2=7389746232