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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?

- $12$
- $15$
- $18$
- $19$

+13 votes

Best answer

Ans: **B.15**

Let the number of MCQs be $x$ and number of essay questions be $y$.

Given MCQs are worth $3$ marks each and essay questions are worth $11$ marks each.

Also, total number of questions is $20$ worth $100$ marks in total.

$\Rightarrow x+y = 20$ and $3x+11y = 100.$

$\Rightarrow 3x+11(20-x) = 100$

$\Rightarrow 8x = 120$

$\Rightarrow x =\dfrac{120}{8} = 15$

+2 votes

0 votes

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?

20 questions

totol 100 marks

Multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each.

x+y=20----------------------------------------------------------1

3x+11y=100---------------------------------------------------2

solve 1 and 2

x=15 so MCQ are 15

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