Jay also answered all the questions and scored (-12)marks though he got 4 correct answers.how many incorrect answers had they attempted?
Answers
total marks = -12
marks lost due to incorrect answer= -12-20=-32
total no.of incorrect answer = -32/2=16
The number of incorrect answers Joy attempted = 16
Given : [ Correction in the question ]
- In a test ( + 5) marks are given for every correct answer and ( - 2) marks are given for every incorrect answer.
- Jay also answered all the questions and scored ( - 12 ) marks though he got 4 correct answers
To find :
The number of incorrect answers Joy attempted
Solution :
Step 1 of 2 :
Form the equation on given condition
Joy has given 4 correct answers
Marks obtained for 4 correct answers
= ( + 5 ) × 4
= + 20
Suppose the number of incorrect answers Joy attempted = n
Marks obtained for n incorrect answers
= ( - 2 ) × n
= - 2n
Total marks obtained = 20 - 2n
So by the given condition
20 - 2n = - 12
Step 2 of 2 :
Find the number of incorrect answers Joy attempted
20 - 2n = - 12
⇒ - 2n = - 12 - 20
⇒ - 2n = - 32
⇒ n = 16
The number of incorrect answers Joy attempted = 16
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