Question

In a quiz competetion 4 marks are awarded for every correct answer and (-2) marks are given for every incorrect answer.

(i) Rakhi scored 28 marks . If she got 10 questions correct . The number of questions wrong were ?

(ii)Alok got 5 answers correct . If he scored (-16) marks how many questions he answered correctly

Answer 1

Answer:(i)6; (ii)18.

Step-by-step explanation:

Here, 4 marks are awarded for every correct answer and (-2)marks are awarded for an incorrect answer.

(i)Here, Rakhi scored 28 marks getting 10 correct answers. So, let's take her incorrect/wrong answers as 'x'.

So, 10(4)+x(-2)=28.

∴40+(-2x)=28.

∴40-2x=28.

∴-2x=28-40.

∴-2x=(-12).

∴x=-2/-12.

∴x=6.

Thus, Rakhi got 6 incorrect/wrong answers.

(ii)Now, Alok scored -16 marks getting 5 correct answers. So, let's take his incorrect/wrong answers as 'x'.

So, 5(4)+x(-2)=(-16).

∴20+(-2x)=(-16).

∴20-2x=(-16).

∴-2x=-16-20.

∴-2x=(-36).

∴x=-2/-36.

∴x=18.

Thus, Alok got 18 incorrect/wrong answers

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