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An instructor has a test bank consisting of 300 easy True/False questions, 200 difficult True/False questions, 500 easy multiple choice questions (MCQ) and 400 difficult multiple choice questions. If a questions is selected at random from the test bank, what is the probability that it will be an easy question given that it is a multiple choice question.

There are 60 questions in a question paper. If no two students solve the same combination of questions but solve equal number of questions, then the maximum number of student who appeared in the examination, is

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In an entrance test, there are multiple choice questions. There are four possible answers to each question, of which one is correct. The probability that a student knows the answer to a question is 90%. If the gets the correct answer to a question, then find the probability that he was guessing.

In an entrance test, there are multiple choice questions. There are four possible answers to each question, of which one is correct. The probability that a student knows the answer to a question is 90%. If the gets the correct answer to a question, then find the probability that he was guessing.

In a class test containing 10 questions, every correct answer is awarded 5 marks, every incorrect answer is awarded (-3) marks, and 0 marks are awarded for every questions not attempted. A student gets 4 questions right, 3 questions wrong, and leaves 3 questions unattempted. What is his score?

A candidate is required to answer 7. questions out of 12 questions which are divided into two groups each containing 6 questions. He is not permitted to attempt more than 5 questions from each group. The number of ways in which he can choose the 7 questions is

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