Question

In a class test containing $$10$$ questions, '$$3$$' marks are awarded for every correct answer and $$(-1)$$ mark is for every incorrect answer and '$$0$$' for questions not attempted.(i) Gopi gets $$5$$ correct and $$5$$ incorrect answers. What is his score?(ii) Reshma gets $$7$$ correct answer and $$3$$ incorrect answers. What is her score?(iii) Reshma gets $$3$$ correct and $$4$$ incorrect answers out of seven questions she attempts. What is her score?

Solution

i)  Gopi gets $$5$$ correct and $$5$$ incorrect answers      To find his score     Since for every correct answer '$$3$$ marks are awarded '     For every incorrect answer '$$(-1)$$ marks are awarded '     Total Score   $$= 5 \times 3 + 5 \times (-1)$$                          $$= 15 - 5$$                          $$= 10$$ii)  Reshma gets $$7$$ correct answer and $$3$$ incorrect answers     To find his score     Since for every correct answer '$$3$$ marks are awarded'     For  Every  Incorrect  Answer   ' (-1)   marks   are   awarded '     Total score     $$= 7 \times 3 + 3 \times (-1)$$                           $$= 21 - 3$$                           $$= 18$$iii)   Reshma gets $$3$$ correct answer and $$4$$ incorrect answers       To find his score      Since for every correct answer '$$3$$ marks are awarded '       For every incorrect answer '$$(-1)$$ marks are awarded '       Total score    $$= 3 \times 3 + 4 \times (-1)$$                            $$= 9 - 4$$                            $$= 5$$Mathematics

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