Question
In a class test, (+3) marks are given for every correct answer and (-2) marks are given for every incorrect answer and no marks for not attempting any question.
(i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly?
(ii) Mohini scores ( -5 ) marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?

Answer

Given, marks for every correct answer $=+3$
Marks for every incorrect answer $=-2$
(i) Total marks scored by Radhika $=20$
Marks scored for correct answer $=12 \times 3=36$
$\therefore$ Marks given for incorrect answers
$=$ Total marks - Marks given for correct answers
$=20-36=-16$
$\therefore$ Number of incorrect answers
$
\begin{array}{l}
=\frac{\text { Total marks for incorrect answers }}{\text { Marks for every incorrect answer }} \\
=\frac{(-16)}{(-2)}=\frac{-16}{-2}=8
\end{array}
$
Hence, Radhika attempted 8 questions incorrectly.
(ii) Marks obtained by Mohini $=-5$
Marks obtained for 7 correct answers $=7 \times 3=21$
$\therefore$ Marks obtained for incorrect answers
$
=-5-21=-26
$
$\therefore$ Number of incorrect answers
$
\begin{array}{l}
=\frac{\text { Total marks obtained for incorrect answers }}{\text { Marks for every incorrect answer }} \\
=\frac{-26}{-2}=13
\end{array}
$

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