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Mathematics · 2023 · 3 marks
CBSE 2023 · Region 1 · Set 3 · Q31
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…
Jaya scored $\displaystyle 40$ marks in a test getting $\displaystyle 3$ marks for each correct answer and losing $\displaystyle 1$ mark for each incorrect answer. Had $\displaystyle 4$ marks being awarded for each correct answer and $\displaystyle 2$ marks were deducted for each incorrect answer then Jaya again would have scored $\displaystyle 40$ marks. How many questions were there in the Test?
Marking-scheme solution
Let number of questions answered correctly be x and number of questions answered wrong be y
Therefore \(\displaystyle 3 \mathrm{x}-\mathrm{y}=40\) _ (i)
and \(\displaystyle 4 \mathrm{x}-2 \mathrm{y}=40\) __ (ii)
solving, \(\displaystyle x=20, y=20\)
Total number of questions \(\displaystyle =\mathrm{x}+\mathrm{y}=40\)
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CBSE Class 10 Mathematics past-paper question from the 2023 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.