In a class test 4 marks were awarded for every correct answer, 2
marks are deducted for every incorrect answer and no marks are
given for not attempting question. Ravi scored 20 marks. If he has got
8 correct answers, how many questions has he attempted incorrectly?
Answer:
marks got for 8 correct answer =8×4 = 32
marks scored=20
marks left= 12
2 marks deducted for 1 question
12 marks deducted for= 12/2=6
HE ATTEMPTED 6 QUESTIONS INCORRECTLY
⠀Question –
In a class test 4 marks were awarded for every correct answer, 2 marks are deducted for every incorrect answer and no marks are given for not attempting question. Ravi scored 20 marks. If he has got 8 correct answers, how many questions has he attempted incorrectly?
Stated –
To Find –
Solution –
⠀In the Question; It is concluded that ravi hits total 20 Marks in the class test and 4 marks are rewarded for every correct answer. If he gets wrong answer then his 2 marks will be deducted from the test. No marks will be given for skipped question, He got 8 answers as correct: So, How many answers he has given wrong? Let’s find out..
[tex]\:\:\:\:\:\:\twoheadrightarrow[/tex] No. of correct answer = 8
[tex]\:\:\:\:\:\:\twoheadrightarrow[/tex] For correct answers = 8(4) = 32
[tex]\:\:\:\:\:\:\twoheadrightarrow[/tex] His total score = 20
Now –
⠀— We have the required marks that he secured in his class test that is 32. But.. Now we have to find the no. of answers that he hit incorrectly
⠀— Let the no. of incorrect answer be x
As, 2 Mark’s will be taken away for Incorrect answer.. So, It should be 2x.
So, for incorrect answers = 32 – 20 = 12
[tex]\longrightarrow\sf{\: 2x = 12}[/tex]
[tex]\longrightarrow\sf{\: x = \dfrac{12}{2}}[/tex]
[tex]\longrightarrow\underline{\sf{\red{\: x = 6}}}[/tex]
Final Answer –
⠀⠀⠀— Hence, He scored total 32 marks and he got 6 answer as incorrect in his class test
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