Question

In class test containing 10 questions. Each correct answer awarded 5 marks and for each incorrect answer have negative 2 marks.Neel scored 45 marks so incorrect answer?

Answer 1

$\large\bf\underline{Given:-}$

• Number of Total Questions = 10
• Correct answer awarded by 5 marks
• incorrect answer have 2 negative marks

$\large\bf\underline {To \: find:-}$

• Number of incorrect answers.

$\huge\bf\underline{Solution:-}$

Total number of questions in class test = 10

Let number of correct answers = x

Let number of incorrect answers = y

So,

Total Questions answered contain correct answers and incorrect answers.

So,

• x + y = 10
• x = 10 - y ...(1)

✥ According to Question:--

Each correct answer awarded 5 marks and for each incorrect answer have negative 2 marks.Neel scored 45 mark.

↣5x - 2y = 45 .....(2)

• ▶️ Putting value of x in 2)

↣ 5 ( 10 - y) - 2y = 45

↣50 - 5y - 2y = 45

↣ 50 - 45 = 7y

↣ 5 = 7y

↣ y = 5/7

hence,

▶️Number of incorrect answers = 5/7.

$\rule{200}3$

Answer 2

Total number of questions in class test = 10

Let number of correct answers = x

Let number of incorrect answers = y

So,

Total Questions answered contain correct answers and incorrect answers.

So,

x + y = 10

x = 10 - y⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ...(1)

We know that:-

Each correct answer awarded 5 marks and for each incorrect answer have negative 2 marks.Neel scored 45 mark.

→ 5x - 2y = 45 .....(2)

Putting value of x in 2)

→ 5 ( 10 - y) - 2y = 45

→ 50 - 5y - 2y = 45

→ 50 - 45 = 7y

→ 5 = 7y

→ y = 5/7

Hence,

Number of incorrect answers = 5/7.