Question

Yash scored 40 marks in a test, getting 3 marks for each right answer and losing
mark for each wrong answer. Had 4 marks been awarded for each correct answer
and 2 marks been deducted for each incorrect answer, then Yash would have
scored 50 marks. How many questions were there in the test?
​

Answer 1

Answer:

Let number of right answer = x

Number of wrong answers = y

Now as per the question:

⇒3x−y=40 ....(1)

⇒4x−2y=50 ....(2)

Now multiplying (1) from 2 and subtracting (2) from (1) will get

⇒6x−2y−4x+2y=80−50

⇒2x=30

⇒x=15

Now putting x in (1) will get

⇒3×15−y=40

⇒45−y=40

⇒−y=40−45

⇒y=5

∴ Correct answer =15, wrong answers =5

∴total question=x+y

⇒total question=15+5

⇒total question=20

Step-by-step explanation:

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Answer 2

$\huge{\mathcal{\underline{\green{Answer}}}}$

Let x be the number of right answers and y be the number of wrong answers.

∴ According to the question ,

3x−y=40⟶(i)

and , 2x−y=25⟶(ii)

On substraction : x=15

putting the value of x in ⟶(i)

3(15)−y=40

y=5

∴ Number of right answers=15 answers

Number of wrong answers=5 answers.

Total Number of questions 5+15=20