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

## 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?

## 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.

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