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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?

  1. $12$
  2. $15$
  3. $18$
  4. $19$
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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?

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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You can either simply check the options as well, like, let no. of questions be 15. So, 15*3 marks for multiple choice questions that is 45 marks. Subtract from 100 and see if the difference(100-45=55) is divisible by 11 or not!
Answer:

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