Question

Yash scored 35 marks in a test getting 2 marks for each right answer and losing 1 marks for each wrong answer had 3 marks been awarded for each correct answer and two marks been deducted for each in correct answer then yes would have scored 50 marks how many questions were in test​

Answer 1

Answer:

let right answers be x and wrong be y

1st case. 2x-y=35 .....(1)

2nd case. 3x-2y=50 ......(2)

multiplying eq. (1) by 2

2(2x-y=35)

4x-2y=70 ....(3)

eliminating eq. (2)by eq.(3)

4x-2y=70

3x-2y=50

- + -

x=20

so, 2x-y=35

2(20)-y=35

-y=35-40

-y=-5

y=5

so, no. of right answers =20

no. of wrong answers =5

Answer 2

Answer:

There were 25 questions in the test

Step-by-step explanation:

Let x = number of right answers

     y = number of wrong answers

Case I

Marks obtained from correct answers = 2x

Marks obtained from wrong answers = -y

Yash obtains 35 marks

=> 2x - y = 35 ...(i)

Case II

Marks obtained from correct answers = 3x

Marks obtained from wrong answers = -2y

Yash would have obtained 50 marks

=> 3x - 2y = 50 .........(ii)

Multiply (i) by 3 and (ii) by 2

6x - 3y = 105          ...(iii)

6x - 4y = 100          ..(iv)

subtract (iv) from (iii), we get:

y = 5

Substituting for y = 5 in (i), we get:

x = 20

x = 20 and y = 5

No. of right answers by Yash = 20

No. of wrong answers by Yash = 5

=> No. of questions in the test = 20+5 = 25