Anirudhan and Vipin are cricket players. One year Anirudhan made 1435 runs from 25 one day matches and Vipin made 1603 runs from 28 one day matches. Who has the better average?

Of the students in a college, it is known that 60 % reside in hostel and 40 % are day scholars (not residing in hostel). Previous year results report that 30 % of all students who reside in hostel atțain A grade and 20 % of day scholars attain A grade in their annual examination. At the end of the year, one stüdent is chosen at random from the college and he has an A grade, what is the probability that the student is a hostlier?

An ionic compound made up of atoms 'X' and 'Y' has a face centred cubic arrangement in which atoms 'X' are at the corners and atom 'Y' are at the face centres. If one of the atoms is missing from the C0rner. What is the simplest formula of the compound?

a. A comb run through one's dry hair attracts small bits of paper. Why? What happens if the hair is wet or if it is a rainy day? (Remember, a paper doesn't conduct electricity.) b. Ordinary rubber is an insulator. But special rubber tyres of aircraft are made slightly conducting. Why is this necessary? c. Vehicles carrying inflammable materials usually have metallic ropes touching the ground during motion. Why? d. A bird perches on a bare high power line, and nothing happens to the bird. A man standing on the ground touches the same line and gets a fatal shock. Why?

In factory there are two machines A and B producing toys.They respectively produce 60 and 80 units in one hour.A can run a maximum of 10 hours and B a maximum of 7 hours a day .The cost of their running per hour respectively amount to 2,000 and 2,500 rupee.The total duration of working these machines cannot exceed 12 hours a day.If the total cost cannot exceed Rs. 25,000 per day and the total daily production is atleast 800 units,then formulate the problem mathematically.

A company produces two types of cricket balls A and B.The production time of one ball of type B is double the type A(time in units ).The company has the time to produce a maximum of 2000 balls per day. The supply of raw materials is sufficient for the production of 1500 balls (both A and B) per day. The company wants to make maximum profit by making profit of Rs.3 from a ball type of A and Rs.5 from type B. Then, By defining suitable variables write the objective function.

A company produces two types of cricket balls A and B.The production time of one ball of type B is double the type A(time in units ).The company has the time to produce a maximum of 2000 balls per day.The supply of raw materials is sufficient for the production of 1500 balls (both A and B) per day.The company wants to make maximum profit by making profit of Rs.3 from a ball type of A and Rs.5 from type B.Then, Write the constraints.

A company produces two types of cricket balls A and B.The production time of one ball of type B is double the type A(time in units ).The company has the time to produce a maximum of 2000 balls per day.The supply of raw materials is sufficient for the production of 1500 balls (both A and B) per day.The company wants to make maximum profit by making profit of Rs.3 from a ball type of A and Rs.5 from type B.Then, How many balls should be produced in each type per day in order to get maximum profit?

One kind of cake requires 200g of flour and 25g of fat ,and another kind of cake requires 100g of flour and 50g of fat.Find the maximum number of cakes which can be made from 5kg of flour and 1kg of fat assuming that there is no shortage of the other ingredients,used in making the cake.