Question

Kavya attends 40 questions and get 96 marks. If 3 marks are given for each correct answer
and 1 mark is deducted for each wrong answer, find the number of question she attended
correct?
----A) 15 B) 34. C) 32 D) 36 E) 33​

Answer 1

Answer:

B) 34.

Number of question she answered correct are 34 .

Step-by-step explanation:

Given :

• Total no. of questions she attended = 40

• Marks obtained = 96 marks

• 3 marks obtained for each correct answers

• 1 mark is deducted for each wrong answer

To find :

• Number of question she answered correct

Solution :

Let,

Correct answered questions = x

Incorrect answered questions = 40 - x

Mark obtained for correct answers = 3x

Mark deducted for wrong answers = -1(40-x)

So,

➨ 3x - 1 (40 - x) = 96

➨ 3x - 40 + x = 96

➨ 3x + x = 96 + 40

➨ 4x = 136

➨ x = 136 / 4

➨ x = 34

Therefore,

Number of question she answered correct are 34 .

Answer 2

$\bigstar\:\:\rm\blue{ANSWER}\:\:\bigstar$

$\bigstar\:\:\rm\red{GIVEN}\:\:\bigstar$

• Kavya attend 40 questions and get 96 marks.
• If 3 marks are given for each correct answer
• and 1 mark is deducted for each wrong answer,

Now,

let x be the no. of questions she attempted correct and y be the no. of questions she attempted wrong.

Since total no. of questions she attempted is 40,

x + y= 40

As per given, 3 marks for each correct answer and -1 for each wrong, and she got 40 marks.

We can have another equation,

3x - y =96

Now solve these two equations,

3x - y= 96........1

x+y = 40..........2

Adding both the equation.

3x-y+x+y=96+40

We get,

4x = 136

x = 34

No. of questions she attempted correct(x) = 34.