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Ram singh goes to his office in the city every day from his suburban house. His driver Mangaram drops him at the railway station in the morning and picks him up in the evening.
Every evening Ram singh reaches the station at 5 oclock. Mangaram also reaches at the same time. One day Ram singh started early from his office and came to the station at 4 oclock. Not wanting to wait for the car he starts walking home. Mangaram starts at normal time, picks him up on the way and takes him back house, half an hour early. How much time did Ram singh walked?

for 20 min he has to walk

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In a certain code, the symbol for 0 (zero) is. * and that for 1 is $. The numb.:rs greater than 1 are to be written only by using the two symbols given above. The value of the symbol for 1 doubles itself every time it shifts one place to the left. (For example, 4 is written as $**; and; 3 is written as $$)	ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is the length of AE?