In a test containing 20 questions, 4 marks are awarded for every correct answer and (-1) mark awarded for every incorrect answer and 0 for questions not attempted. Aysha gets 12 correct answers and 8 incorrect answers. What is her score?
Answers
Answer:
Thetotalscore=32
Step-by-step explanation:
Suppose the number of correct answered questions be 'x' , then number of wrongly answer questions = (20-x).
It is given that for every correct answer 4 marks are awarded .
Number of marks scored for correct answers = 4x
And it is given that for every wrongly answered question ' 2 ' marks are deducted .
Number of marks to be deducted from the score = (20-x) × 2 = 40 - 2x ,
Total Score = 4x - ( 40 - 2x )
= 4x - 40 + 2x
= 6x - 40
But it is given that x = 12( correct answered questions)
= 6 × 12 - 40
= 72 - 40
= 32
Therefore.,
\red { The \: total \:score } \green {= 32 }Thetotalscore=32
Step-by-step explanation:
Given
Correct answer = 12
Incorrect answers= 8
Solution
Total question Aysha solved
= 12+8
= 20
She didn't leave any questions, she solved every question
Each carrys 4 marks
So,
Total marks she got for correct answers
= 12×4
= 48
But she lose 8 marks. Since, each wrong answer carrys -1 marks
Therefore, Her score will be
=48-8
= 40
She scored 40 marks