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Question

A test has 175 question. A candidate gets 4 marks for each correct and loses 2 mark for each wrong answer and loses 1 mark for each unanswered question. A student scored 405. On analysing his performance he concluded that he had not attempted 35 question. How many question did he answer wrongly?

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Solution

The correct option is **A** 20

Let x be the no. of questions he marked wrong.

Let x be the no. of questions he marked wrong.

no. of unattempted question =35

Total no. of questions =175

∴ no. of correct questions =(175−35−x)

Total marks he got =405

According to question

(175−35−x)×4−x×2−1×35=405

⇒(140−x)4−2x=405+35

⇒560−4x−2x=440

⇒560−440=6x

⇒6x=120

⇒x=20

∴ no. of wrong answered marked questions =x=20

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