84
Jaya scored $40$ marks in a test getting $3$ marks for each correct answer and losing $1$ mark for each incorrect answer. Had $4$ marks being awarded for each correct answer and $2$ marks were deducted for each incorrect answer then Jaya again would have scored $40$ marks. How many questions were there in the Test?
Show SolutionHide Solution↓
Let number of questions answered correctly be $$\begin{aligned}& x \\ & \text{and number of questions answered wrong be } y \\ & \text{Therefore } 3x - y = 40 \quad \text{(i)} \\ & \text{and } 4x - 2y = 40 \quad \text{(ii)} \\ & \text{solving, } x = 20, y = 20 \\ & \text{Total number of questions } = x + y = 40\end{aligned}$$