10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Case Based MCQs - Pair of Linear Equations in Two Variables

If answer to all questions he attempted by guessing were wrong, then how many questions answered correctly to score 95 marks?

A) 95

B) 100

C) 120

D) 80

Correct Answer: B

Solution :

According to the given condition,

\[x-\frac{1}{4}\] of \[\left( 120-x \right)=95\]

\[\Rightarrow \,\,\,x-\frac{1}{4}\times \left( 120-x \right)=95\]

\[\Rightarrow \,4x-120+x=380\]

\[\Rightarrow \,\,\,5x=500\]

\[\Rightarrow \,\,\,\,x=100\]

Hence, he answered correctly 100 questions to score 95 marks.