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

Tarun invited 750 persons to a party. Every person that came to the party, came by a car such that exactly six persons came in each of the three different cars and exactly seven persons came in each of the remaining cars. At the party, when every person including Tarun was seated in a group of eleven, one group fell short by four persons. If maximum possible number of persons came to the party, then out of the persons who were invited by Tarun, how many persons did not come to the party?

2. 10 people are there, they are shaking hands together, how many hand shakes possible, if they are in no pair of cyclic sequence.

14%of 14000 is equal to

in a certain group there are two families red and brown;search for mahindra satyam for this paragraph

if the height of the triangle decreases by 40% and the breadth increases by 40%.then the effect on the area is

two trains are separated by 200km.one leaves at 6:00am from Delhi and reaches Merrut at 10.00 am.another train leaves from Merrut at 8.00 am and reaches Delhi at 11.30am.at what time two trains meet each other?

A lady has fine gloves and hats in her closet- 13 blue, 27 red, and 40 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

a farmer has a rectangular plot.he wants to do fencing along one of the side wiyh the help of the posts.two posts being on two corners.he brings 5 post less than what he has initially plan because of which the distance between two consecutive post became 8m instead of 6m.what is the length of the side and number of post

a grandfather has 5 sons and daughters and grandchildren.they have to be arranged in a row such that the first 4 seats and last four seats are to be taken by grandchildren and the grandfather would not sit adjacent to any of the grandchildren.

a laborer can dig a hole 8feet squatre and 8 feet deep in 8 days.how long will it take him ti dig a hole 4 feet square and 4 feet deep?

in a triangle which one is not possible.sides are (5,5,5), (5,4,5),(4,4,9),(3,4,5)?

given $ means Tripling and % means change of sign then find the value of $%$6-%$%6

what is the formula to find resistance if the terms density,reluctance,sensitivity,voltage,current are given

1. There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that me musical sound would be produced 5 times consecutively