# Ex.1.3 Q7 Integers Solution - NCERT Maths Class 7

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## Question

In a class test containing $$10$$ questions, $$5$$ marks are awarded for every correct answer and $$(–2)$$ marks are awarded for every incorrect answer and $$0$$ for question not attempted.

i) Mohan gets $$4$$ correct and $$6$$ incorrect answers. What is his score?

ii) Reshma gets $$5$$ correct and $$5$$ incorrect answers. What is her score?

iii) Heena gets $$2$$ correct and $$5$$ incorrect answers out of $$7$$ questions she attempts. What is her score?

Video Solution
Integers
Ex 1.3 | Question 7

## Text Solution

Steps:

Given: –

Total number of questions $$=$$ $$10$$

Marks awarded for every correct answer $$=$$ $$5$$

Marks awarded for every incorrect answer $$=$$ $$(–2)$$

Marks for not attempted question $$=$$ $$0$$

i) Marks obtained by Mohan by $$4$$ correct answers $$= 4 × 5 = 20$$ marks

Marks for 6 incorrect answers$$= 6× (–2) = –12$$

Total score of Mohan = Marks for correct answers + marks for incorrect answers

\begin{align}&= 20 + \left( {-12} \right)\\&= 20-12\\&= 8\,{\text{marks}}\end{align}

Thus, Mohan gets $$8$$ marks in the class test.

ii) Marks obtained by Reshma for $$5$$ correct answers $$= 5×5 = 25$$ maks

Marks for 5 incorrect answers $$= 5× (–2) = \,–10$$marks

$$\therefore$$ Total score of Reshma $$=$$ Marks for correct answers $$+$$ marks for incorrect answers

\begin{align} &= 25 + \left( {-10} \right)\\ &= 25-10\\ &= 15\,{\rm{marks}}\end{align}

(iii) Marks obtained by Heena for $$2$$ correct answer $$=2\times 5 = 10$$ marks

Marks for $$5$$ incorrect answer $$=5\times (-2)=-10$$ marks

Marks for not attempted question $$=3\times0=0$$ marks

$$\therefore$$ Total score of Heena $$=$$ Marks for correct answers $$+$$ marks for incorrect answers$$+$$Marks for not attempted questions.

\begin{align}&= 25 + \left( {-10} \right) + 0\\&= 25-10 + 0\\ &= 15\,{\rm{marks}}\end{align}

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