GATE 2017 EE (EE2) – Question 4

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 1 mark · Multiple choice

A twenty-question test totals 100 marks. Multiple-choice questions are worth 3 marks and essay questions 11 marks each. How many multiple-choice questions are there?

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Correct answer: (B) 15

Explanation

Let m be the number of multiple-choice questions, leaving 20−m essays. The total-mark equation is $3m+11(20-m)=100$.

Thus 220−8m=100 and m=15. Check: 15×3+5×11=45+55=100. The answer is **15, B**.

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