Question

Jay also answered all the questions and scored (-12)marks though he got 4 correct answers.how many incorrect answers had they attempted?

Answer 1

4 correct answer= 20 marks
total marks = -12
marks lost due to incorrect answer= -12-20=-32
total no.of incorrect answer = -32/2=16

Answer 2

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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