Question

in the test +5 marks for correct answers and -2 for incorrect answers jaya also answered all the questions and scored -12 marks through 4 correct answers​

Answer 1

Case2: Jay got total marks =−12 , correct answer =4

So, the total marks for correct answer = marks for correct answer × number of correct answers.

Total marks for correct answer =5×4=20

Thus, Jay got a total 20 marks for 4 correct answers.

Now, subtracting total marks he got from total marks of correct answer we will get marks for incorrect answer. So, writing as

=20−(−12)=20+12=32 marks.

So, he got 32 marks for incorrect answers. Now, we know that for every incorrect answer =−2 marks.

So, the total marks for incorrect answer = marks for incorrect answer × number of incorrect answers

Substituting values, we get

32=−2× number of incorrect answers

So, dividing by −2 on both sides, we get

Number of incorrect answers =−16

So, the number of incorrect answers are 16 (we can ignore minus sign here because the question cannot be in negative value).

Hence, Radhika and Jay got 10 and 16 questions incorrect, respectively.

Answer 2

Answer:

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Step-by-step explanation:

Step-by-step explanation:

Let there were total x questions .

Radhika answered all the question .

So Radhika answered x questions .

So no. of questions incorrectly answered by her are x-10

So she got 10 correct answers and x-10 wrong answers .

As +5 are provided for every correct answer and -2 for every wrong answer , the total marks she will get are --

5(10) + (-2)(x-10) = 50 - 2x +20 = 70 - 2x

Now , the total marks she got are 30

So, 70 - 2x =30

70 - 30 = 2x

40 = 2x

20 = x

So, total no. of questions she answered are 20.

So, she got (20-10) wrong answeres i.e. 10 wrong answers .

Let the total no. of question for Jay be x

He got 4 correct questions

So he got x-4 incorrect questions

Total marks he got --

5(4) + (-2)(x-4) = 20 - 2x + 8 = 28 -2x

Now he got a total of -12 marks

28 - 2x = -12

Solving this equations we get x =20

So he answered 20 questions in total .

He got (20-4) wrong answers i.e. 16 wrong answers.

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