In a competitive examination, one mark is awarded for every correct answer while `(1)/(4)` mark is deducted for every wrong answer. A student answered 100 questions and got 80 marks. How many questions did he answer correctly ? (Use Cramer's rule to solve the problem).

In a competitive exam, 3 marks are awarded for every correct answer and for every wrong answer, I mark will be deducted. Madhu scored 40 marks in this exam. Had 4 marks been awarded for each correct answer and 2 marks deducted for each incorrect answer, Madhu would have scored 50 marks. If Madhu has attempted all questions, how many questions were there in the test?

Thenmalar appeared for competitive exam which has negative scoring of 1 mark for each incorrect answers. In paper I she answered 25 questions incorrectly and in paper II 13 questions incorrectly. Find total reduction of marks.

In an examination a student has a answer 5 questions, out of 9 questions in which 2 are compulsory . In how many ways a student can answer the questions ?

The following pie chart gives the marks scored in an examination by a student in various subjects . If the total marks obtained by the student were 360 , answer the questions. Find the marks obtained in each subject.