Question

Pinky scored 40 marks in a test getting 3 marks for each right answer and losing 1 mark for each wrong answer. had 4 marks been awarded for each correct answer and 2 marks were deducted for each wrong answer, then pinky again would have scored 40 marks. how many questions were there in the test

Answer 1

Let No. of correct answer be x
and, No. of incorrect answer be y

We are given,
                     3x-y = 40 .....................................................(1)

          and,   4x-2y = 40 = 2x-y = 20 ................................(2)

By subtracting Eqn. (1) from Eqn. (2)
     
                   2x-y =   20
                + 3x-y = +40
                -     +      -
          = -x = -20
so , x= 20

By putting x = 20 in eqn (1)

   3(20) - y = 40
so, 60 - y =40
         so, y = 20


 So Total No of Questions = x + y = 20 + 20 
                                             = 40

Plz mark as brainliest.

Answer 2

pinky got 40 marks.
she gave x right answers and y wrong answer
3x-y=40
if 4x-2y=40
now solving them we get, y=x=20
hence the test contained (x+y)=(20+20)=40 questions.