Scholarship Test

There are 5 candidates for mathematics , 7 for science and 3 for arts scholarship . Find the number of ways of give one scholarship either for mathematics or for science or for arts.

Read the following passages carefully and answer the questions that follow. Ernest Rutherford was the son of a Scot emigrant to New Zealand. His parents had 12 children, of whom Ernest was the fourth. His education was in a state primary school from which children at the age of 13 could get grants of scholarships to secondary schools and to the universities. Rutherford had no intention of following an academic career. He was no book-worm. He was good in any rough-and-tumble game and a keen football player. But he was good at Latin and he had a passion for music and a mechanical bent of mind. At Nelson College, a state boarding school, he was an outstanding pupil, he sat for a scholarship to Canterbury College and this was because his masters expected it of him and he won it. There, Rutherford as a student was fascinated by Hertz's work on radio waves and he began to conduct his own experiments in the cloakroom of the college, where the students hung their gowns. Rutherford sat for a scholarship test because

Out of 2n+1 students, n students have to be given the scholarships. The number of ways in which at least one student can be given the scholarship is 63. What is the number of students receiveing the scholarship?

Pragati' scholarship scheme of the Government of India is meant for

A child who studies for the sake of earning a scholarship is an example of