1
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Question

# A question bank has 10 questions worth 100 marks. It consists of multiple choice questions worth 10 marks each and yes/no questions worth 3 marks each. How many multiple choice questions are on the question bank?

A
15
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B
12
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C
10
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D
13
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Solution

## The correct option is C 10Let us assume x= Multiple Choice questions Let y= Yes/No questionsThen as per the given statement form equations,⇒x+y=10 ----- (1)⇒10x+3y=100 ----- (2)Multiply the equation (1) by 3 and then subtract the equations (3) and (4), we get3x+3y=30 ----- (3)10x+3y=100 ----- (4)_____________−7x=−70x=−70−7=10Therefore, there are 10 multiple choice questions.

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