Out of 25 students of a class, 12 failed the exam and has an average of 45 marks. From the passing students 3 got distinction. If the average of the class is 70 marks, passing marks are 50 and to get a distinction one must score 100 marks, find the average marks of the students who passed the exam without distinction. The exam was of 100 marks.

Out of 25 students of a class, 12 failed the exam and has an average of 45 marks. From the passing students 3 got distinction. If the average of the class is 70 marks, passing marks are 50 and to get a distinction one must score 100 marks, find the average marks of the students who passed the exam without distinction. The exam was of 100 marks. Correct Answer 91

Total marks obtained by the students = average * number of students = 70 * 25 = 1750 Marks obtained by the students who failed the exam = 12 * 45 = 540 Marks obtained by the students with distinction = 100 * 3 = 300 Marks obtained by the students who passed without distinction = 1750 – 540 – 300 = 910 Average marks of the students = 910 / 10 = 91
Bissoy MCQ

Related Questions

Seven students – P, Q, R, S, T, U, and V got the highest marks in Mathematics test among all students. Their marks out of 50 are 40, 42, 45, 46, 48, 50 (not necessarily in the same order). Two students have got the same marks as 46. P has neither got the lowest marks nor 46. Q has got the highest marks. U has got higher marks than P. R has got lower marks than T whereas T got lower than P. S has got lower marks than U. Who among the following has got the same marks as 46?
In a mid-term exam of class 11, 42% students failed in Mathematics, 54% students failed in Physics and 48% students failed in Chemistry. Only 10% students failed in all the three subjects. 20% students failed in both Physics and Chemistry, 15% students failed in both Chemistry and Mathematics, and 18% students failed in both Physics and Mathematics. What is the percentage of those students who failed in two subjects only?
Amar, Tanmay, Viraj, Rajeev and Samuel not in the same order have their exams scheduled in different languages such as English, Punjabi, Hindi, Marathi and French though not in the same order. The exam of Samuel is scheduled after the exam of Tanmay. Rajeev does not appear the exam in French. Viraj either appears the exam in English or Hindi. The exam in French is immediately preceded by the exam in Hindi. The very last exam is of Viraj. At the most two exams are scheduled between the exam of Viraj and the Punjabi exam. The opening exam is in Marathi. Amar appears the exam in Hindi. Samuel does not appear for Punjabi exam. Rajeev’s exam was not the first. Which exam is immediately preceding and succeeding the exam in Hindi?
In an examination, 41% of students failed in Economics, 35% of students failed in Geography and 39% of students failed in History, 5% of students failed in all the three subjects, 14% of students failed in Economics and Geography, 21% of students failed in Geography and History and 18% of students failed in History and Economics. Find the percentage of students who failed in only Economics.
200 students appeared in a specific examination. There were 80 students who failed in Mathematics. 160 students passed in Physics. 30 students failed in Chemistry. 30 students failed in Mathematics and Physics. 15 students failed in Mathematics and Chemistry. 10 students failed in Physics and Chemistry. 100 students passed in all three subjects. How many students failed in only one subject?
Out of 110 students 20 failed the exam. Out of the remaining 20% passed the exam with distinction. Find the ratio of the students who passed the exam to the students who passed the exam without distinction.
Average score of a class of 60 students, in an exam, was 43. Average score of the students who had passed is 52 and the average score of students who had failed is 16. How many failed the exam?
In an examination of 400 and 600 marks a student got marks in the ratio of 3 : 5 respectively. In 1st exam, he fails by 40 marks and in 2nd exam get 60 marks more from passing marks. Find in which exam passing percentage is more, If passing marks in both exam is equal.
Three maths classes: X, Y, and Z take an algebra test. The average score of class X is 83. The average score of class Y is 76. The average score of class Z is 85. The average score of class X and Y is 79 and the average score of class Y and Z is 81. What is the average score of the combined classes X, Y, and Z?
Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ?