Question

In an exam, Neha attended  90%  of the questions. Out of these, she answered  50%  correctly. She gets  5 marks  for each correct answer and  1 mark  is deducted for each wrong answer. If Neha scored  180 marks , find the total number of questions.

A 100 Correct Answer Incorrect Answer
B 120 Correct Answer Incorrect Answer
C 150 Correct Answer Incorrect Answer
D 180 Correct Answer Incorrect Answer

Solution

ATQ, Let the total number of questions = 100x Number of questions attended = 100x * 90/100 = 90x Number of correct answers = 90x * 50/100 = 45x Number of wrong answers = 90x – 45x = 45x According to the question, 45x * 5 – 45x * 1 = 180 225x – 45x = 180 180x = 180 x = 1 Total number of questions = 100 * 1 = 100

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