Question

In a competitive exam, 5 marks are awarded for every correct answer and for every wrong answer, 2 marks are deducted. Sathwik scores 32 marks in the examination. If 4 marks had been awarded for each correct answer and 1 mark had been deducted for each incorrect answer, Sathwik would have scored 34 marks. If Sathwik attempted all the questions, how many questions were there in the test ?

Answer 1

Step-by-step explanation:

let , he had x correct ans and y wrong ans

hence,

5x-2y=32____(i)

again,

4x-y=34_____(ii)

(i)-(ii)×2

5x-2y=32

8x-2y=68

- + -

________

3x=36

x=12

4×12-y=34

48-y=34

y=14

hence, he had 12 correct and 14 wrong answer.

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