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? 

(A) 12 

(B) 15 

(C) 18 

(D) 19

Answer 1

Correct option is (B) 15

(x = MCQ , y = Essay type)

x + y = 20

3x + 11y = 100 

⇒ x = 15, y = 5