MBA Exam General Ability General Knowledge

A sprinter starts running on a circular
path of radius r metres. Her average speed (in metres/minute) is pr during the first 30 seconds, pr/2 during next one minute, pr/4 during next 2 minutes, pr/8 during
the next 4 minutes, and so on. What is the ratio of the time taken for the nth
round to that for the previous round? consider p=pi

1) 1. 4
2) 2. 8
3) 3. 16
4) 4. 32

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MBA Other Question
A and B are friends.They decided to meet between 1 P.M and 2 P.M on a given day.there is a condition that whoever arrives first will not wait for more than 15 mins.The probability that they will meet on that day is(if neone gets the ans,please share the approach)

1) 1/4
2) 1/16
3) 7/16
4) 9/16
 Trigonometry : A palm tree of 90ft high,is broken by the wind and its upper part meet the ground at an angle of 30 degree .Find the distance of the point where the top of the tree meets the ground,from its root.

1) 43.69ft
2) 51.96ft
3) 60ft
4) 30ft