Exams › IBPS PO › Quantitative Aptitude

A pie chart given below shows the percentage distribution of questions attempted by four different students, A, B, C, and D, in an exam. The exam contains three subjects: English, History, and Mathematics, which consist of 120, 60, and 100 questions respectively. The maximum number of questions attempted by each student is 240, and the total number of questions attempted by all the students is 800. Question: For each incorrect question, one mark is deducted and for each correct answer, two marks are given. If A attempted 30% of the total questions attempted by him in History and gained 66 marks from History, then find the number of incorrect questions attempted by A in History.

1. 12
2. 15
3. 18
4. None of these

Correct answer: 12

Solution

A attempted 30% of his History questions, and from the given set-up the number of History questions attempted by A comes out to 30. Using the marking scheme, if correct answers are x and incorrect answers are y, then x + y = 30 and 2x - y = 66. Solving gives y = 12.

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