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A shearing force 10 newton is applied on the top of a cuboid of height 0.1 m such that it becomes a parallelepiped. If the slant surface of the parallelepiped forms an angle of 30 degrees with the base, what is the work done by the force?

The set X has (2 m + 1) elements. The number of subsets of X having atleast one element and at the most 'm' elements is 16383. Find the value of m.

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137^(13^47)

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a test consists of 120 questions. each correct answer, each wrong answer and each unanswered question in the test carry 1 mark, -1/2 mark and -1/4 mark respectively. Find the maximum no of questions that the candidate could have answered wrongly in the test if he scores 50 marks in the test??? ANS=45.. PLEASE HELP WITH APPROACH

A person on an exercise regime decides to lose 500 calories in a day. For every 30 mins of exercise he loses 80 calories, bu gains 25 calories per cake that he eats. In the morning he exercises for certain time and eats a certain number of cakes. In the afternoon he exercises for double the time but eats thrice the no of cakes. In the evening he exercises for 1.5 times the time he spends in the morning session and eats 4 times the number of cakes he eats in the morning. Had he not eaten any cake, he would have exceeded his target by 220 calories. If he actually falls short of his target by 180 calories, what is the no of cakes he has eaten in evening??? ANS=8. Please help with the approach