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Q1. Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position(.i.e no three points in P lie on a line) is
A Farmer owns a square land of 15 m each side with a pole in one of the corners to which he tied his cow with a rope whose length is about 10 m. What is the area available for the cow to graze. (Assume pi = 3)
A father is 30 years older than his son however he will be only thrice as old as the son after 5 years what is father's present age ?
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Find the next series number 1, 1, 2, 3, 6, 7, 10, 11, ?
6 women can do 75 units of work in 8 days by working 5hrs/day. In how many days can 4 women do 30 units of work by working 8hrs/day ?
How many mod 3 counters are required to construct mod 9 counter.
The main line train starts at 5.00AM and the harbor line train starts at 5.02AM. Each train has the frequency of 10 minutes.If a guy goes in the morning at a random time what is the probability of he getting main line train?
When I was married 10 years back my wife was the sixth member of my family. Now I have a baby. Today my father was dead and I had a new baby. Now the average age of my family is the same as that when I was married. Find the age of my father when he was 60.
Ram starts from A walking 2 km North and turns right and walks 4 km and turns right again and walks 4 km and turns right again and walks 4 km and meets Radha at Bwalking in the opposite direction to Ram . Which direction does Ram walk after the first turn?
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A motorcycle travels a certain length taking 7 hrs in the journey ahead, while returning, the increased speed of 12km/hr takes about 5 hrs. What was the length covered in this journey?
In which of the system, decimal number 194 is equal to 1234?