GATE 2017 CS (CS2) – Question 4

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

A test has twenty questions worth 100 marks in total. Multiple-choice questions carry 3 marks each 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 multiple-choice count. Then essay count is 20−m and total marks are 3m+11(20−m)=100. Thus 220−8m=100, giving m=15, option B. The remaining five essays contribute 55 marks.

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