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An examination paper has 150 multiple-choice questions of one mark each, with each question having four choices. Each incorrect answer fetches -0.25 mark. Suppose 1000 students choose all their answers randomly with uniform probability, The sum total of the expected marks obtained by all these students is

An examination paper has 150 multiple-choice questions of one mark each, with each question having four choices. Each incorrect answer fetches -0.25 mark. Suppose 1000 students choose all their answers randomly with uniform probability, The sum total of the expected marks obtained by all these students is Correct Answer 9375

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In an examination, a student can choose the order in which two questions (QuesA and QuesB) must be attempted. - If the first question is answered wrong, the student gets zero marks. - If the first question is answered correctly and the second question is not answered correctly, the student gets the marks only for the first question. - If both the questions are answered correctly, the student gets the sum of the marks of the two questions. The following table shows the probability of correctly answering a question and the marks of the question respectively.  question Probability of answering correctly marks QuesA 0.8 10 QuesB 0.5 20 Assuming that the student always wants to maximize her expected marks in the examination, in which order should she attempt the questions and what is the expected marks for that order (assume that the questions are independent)? 
In an examination, two types of questions are asked: one mark questions and two marks questions. For each wrong answer, of one mark question, the deduction is 1/4 of a mark and for each wrong answer, of two marks question, the deduction is 1/3 of a mark. Moreover, 1/2 of a mark is deducted for any unanswered question. The question paper has 10 one mark questions and 10 two marks questions. In the examination, students got all possible marks between 25 and 30 and every student had different marks. What would be the rank of a student, who scores a total of 27.5 marks?
In an examination, there were three subjects Hindi, Maths, and Science. Marks scored by Karan in Hindi is 60. Marks scored by Karan and Lokesh in Maths is equal. Marks scored in 3 subjects by Lokesh is 200. Marks scored by Lokesh in science is 25 % of total marks obtained. Marks scored by Mohit in Hindi is equal to marks scored by Lokesh in Maths. Marks scored in Maths by Mohit is 5 more than the marks scored in Hindi. Marks scored in Maths by Lokesh is 20 more than marks scored in Science. Marks obtained by Karan, Lokesh, and Mohit in Hindi are what percent of marks obtained by Karan, Lokesh, and Mohit in Maths?
In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: Vinay secured 92.5% marks in an examination comprising of 5 subjects each of 120 marks. He scored 95% marks in English and Hindi together, while 90% marks in Mathematics. In Science, if he scored one marks more than Social studies, how many marks did he scored in Science? Quantity B: Ashi scored 75%, 80% and 90% marks in Physics, Chemistry and Mathematics sections respectively, in an examination of total 150 marks. If the Physics and Chemistry sections are worth 40% and 20% of the total marks, how many marks did Ashi secured in the examination? 
The ratio of marks obtained by Rohit in Mathematics to the marks obtained in Science is 8 : 7, the marks of English is 10% more than the marks obtained in Science and the marks obtained in Hindi is 10% less than the marks obtained in Mathematics. If each subject is of 100 marks and the sum of marks of English and Hindi is 149, then find the percentage of passing mark where the passing marks is 40 more than the marks obtained by Rohit in Mathematics.
A candidate takes a test and attempts all the 100 questions in it. While any correct answer fetches 1 mark, the wrong answers are penalised as follows; one-tenth of the questions carry 1/10 negative marks each, one-fifth of the questions carry 1/5 negative marks each and the rest of the questions carry 1⁄2 a negative mark each. Unattempted questions carry no marks. What is the difference between the maximum and the minimum marks that he can score? 
. A, B, C, D, E and F compared their marks in an examination and found that A obtained the highest marks, B obtained more marks than D, C obtained more than at least two others and £ had not obtained the lowest marks. Consider the following statements : Statement 1: At least two members obtained less marks than C Statement 2: E and F obtained the same marks Which of the above statement(s) is/are sufficient to identify the one with the , lowest marks ?
Consider the given question and decide which of the following statement is sufficient to answer the question. If the total marks obtained by 5 students is 500. The average marks of the first 2 students are 150. Marks obtained by the third students are? Statements: 1. Average marks obtained by the last two students are 50. 2. Marks obtained by 4th students are 25.
The marks of 30 students in a test is shown as follows: 12, 16, 22, 24, 11, 7, 9, 11, 13, 14, 17, 19, 18, 21, 22, 23, 8, 9, 17, 16, 14, 23, 24, 24, 23, 17, 18, 16, 11, 9  Which Tally table represent the correct data of the marks of the students. (A) Interval of marks Tally marks of students 0-5 0 5-10 ||||  10-15 |||| || 15-20 |||| |||| 20-25 |||| ||||   (B)  Interval of marks Tally marks of students 0-5 0 5-10 |||| | 10-15 |||| ||| 15-20 |||| |||| 20-25 |||| || (C) Interval of marks Tally marks of students 0-5 0 5-10 |||| | 10-15 |||| || 15-20 |||| |||| 20-25 |||| || (D) Interval of marks Tally marks of students 0-5 0 5-10 ||||  10-15 |||| || 15-20 |||| ||| 20-25 |||| ||||
The following table shows the percentage of marks obtained by seven students in six different subjects in an examination. Student Maths Chemistry Physics Geography History Computer Science   Maximum Marks = 150 Maximum Marks = 130 Maximum Marks = 120 Maximum Marks = 100 Maximum Marks = 110 Maximum Marks = 90 Ankit 100 80 80 40 70 70 Aman 90 50 90 60 90 80 Ayush 80 65 70 70 80 80 Rohit 90 60 80 95 60 60 Tanvi 80 65 65 80 40 60 Tarun 70 75 85 77 50 90 Muskan 65 35 50 85 80 80   What are the average marks obtained by all the seven students in Physics? (Rounded off to two digits after the decimal)