GATE CS 2017 Set 2 — Question 59
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
A test has twenty questions worth 100 marks in total. There are two types of questions. Multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have?
Correct answer
(B) 15
Solution
Let be the number of multiple choice questions and be the number of essay questions.We are given two conditions:
Thus, the exam has 15 multiple choice questions.
1.Total number of questions is 20:
2.Total marks is 100:
Substitute the expression for from the first equation into the second:Thus, the exam has 15 multiple choice questions.
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