Gate Exam Numerical Ability Permutation and Combination

On the 1st day,a person earns rs 1,and spends none.On every subsequent day he earns twice the amount earned on previous day and spends half the amount earned on previous day .At the end of 10th day ,how much money is left with him..???

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A fair coin is tossed three time in succession. If the first toss produced a head, then the probability of getting exactly two heads in three tosses is... Find the no. of solutions for the equation 2x+3y=40, where x and y are natural nos ?