in a test there are total n questions. Bhanu answers 20 out of 25 questions correctly in the first section.in the second section hi answers 60% questions correct and the total score is 66.66% in the test. given that all the questions carry equal marks without any negative marking. total number of questions in the test is :
Answers
Given : Bhanu answers 20 out of 25 questions correctly in the first section.in the second section he answers 60% questions correct and the total score is 66.66% in the test
To find : total number of questions in the test is
Solution:
Let sat Total number of Question = Q
mark for Each Correct answer = M
Total Possible Marks = QM
Bhanu answers 20 out of 25 questions correctly in the first section
=> Marks in 1st Section = 20M
Question in 2nd Section = Q - 25
Correctly answered = (60/100)(Q - 25) = (3/5)(Q - 25)
Marks = (3/5)(Q - 25)M
Total Score = 20M + (3/5)(Q - 25)M
= ( 25M + 3QM)/5
Total score is 66.66% = 2/3
=> ( 25M + 3QM)/5QM = 2/3
=> 75M + 9QM = 10QM
=> QM = 75M
=> Q = 75
75 Questions
total number of questions in the test is 75 Questions
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