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45 people (a1,a2...,a45) meet and shake hands in circular fashion. In other words there are totally 45 handshakes involving the pairs (a1,a2),(a2,a3)...,(a44,a45),(a45,a1). Then the size of the smallest set of people such that the rest have shaken hands with atleast one person in the set is

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TCS Other Question

how many 7 digit numbers can be formed using the digits 1,2,3,4,5 (but without repetition), that are divisible by 4? The original price of a car was $23600. Because the car owner thought he could get more money for the car, he increased the price of the car to 160% of its original price. After a week, the car had not sold, so the owner then discounted the price by 20%, the car was finally sold. What price was the car sold for?