A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary ?
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22.) There are nine balls on a billiards table numbered consecutively from 1 to 9. Each ball carries the points equal to its complement of 10 for pocketing a ball. If the sum of the points obtained by pocketing the ball in the first three strokes is 8 and the sum of the points obtained by pocketing the ball in the last three strokes is 22, then which of the following cannot be the sum of the numbers written on the ball which were pocketed in the 1st, 5th and 8th stroke? (Assume in each stroke exactly one ball was pocketed and all the 9 balls were pocketed in 9 strokes) a) 19 b) 12 c) 23 d) 8 25.) 1 unit of A is made by mixing 4 units of B and 5 units of C. 1 unit of B is made by mixing 1 unit of X, 4 units of Y and 1 unit of Z. 1 unit of C is made by mixing 2 units of X, 6 units of Y and 1 unit of Z. The weight of 1 unit each of X, Y and Z is 5 kgs, 3 kgs and 8 kgs respectively. What is the total weight of Y required to make 1400 kgs of A? a) 630 kgs b) 720 kgs c) 690 kgs d) 870 kgs 26.) 10 points are chosen on a plane. Every possible pair of points is joined by a line and the midpoint of the line is marked with red colour. What is the minimum possible number points on the plane which have been marked with red colour? a) 9 b) 17 c) 27 d) 45 27.) A function F(n) is defined as F(n-1)=1/(2-F(n)) for all natural numbers n. If F(1) = 2, then what is the value of [F(1)] + [F(2)] +...+ [F(50)]? (Here, [x] is equal to the greatest integer less than or equal to x) a)51 b) 55 c) 54 d) 52
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