MBA Exam Numerical Ability Probability

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

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MBA Other Question
A triangle ABC has 2 points marked on side BC, 5 points marked on side CA and 3 points marked on side AB. None of these marked points is coincident with the vertices of the triangle ABC. All possible triangles are constructed taking any three of these points and the points A, B, C as the vertices. How many new triangles have at least one vertex common with the triangle ABC?

1) 126
2) 129
3) 127
4) 128
 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