Question

In a class test (+3) marks are given for every
correct answer and (-2) marks are given for
every incorrect answer and no marks for not
attempting any question.
(i) Ram scored 20 marks. If he has got 12
correct answers, how many questions
has he attempted incorrectly?
(ii) Mohan scores – 5 marks in the test though he
has written 7 correct answers. How many
questions has he attempted incorrectly?​

Answer 1

━━━━━━━━━━━━━━━━━━━━

⏺ Required Answer:

✏GiveN:

• For every correct answer (+3) marks are given.
• For every incorrect answer (-2) marks given.
• No marks for unattempted question.

✏To FinD:

• Ram scored 20 marks. He has got 12 correct answers, find how many he attempted incorrectly.
• Mohan scored -5 marks. He has 7 correct answers. Then find how many he attempted incorrectly.

━━━━━━━━━━━━━━━━━━━━

⏺ How to solve?

The questions can be solved just by adding + and - sign marks and adding total to get total marks. So, we need to find the correct and incorrect answers by adding these marks. Just the thing, we need to keep in mind:

━━━━━━━━━━━━━━━━━━━━

⚠️ Here, there is no marks for unattempted answers, So as we don't need to find unattempted answers, see can neglect the unattempted answers.

━━━━━━━━━━━━━━━━━━━━

You can understand the question by the solution itself.

━━━━━━━━━━━━━━━━━━━━

⏺ Solution:

✏ Total score = Marks for correct answers + Marks for incorrect answers + Marks for unattempted answers.

⚠️ Neglecting marks for unattempted answers.

(1) Given:

• Marks for correct answer = +3
• Marks for incorrect answer = -2

Marks scored by Ram = 20

Mark's obtained by correct answers =

12 × 3 = 36

Then, Mark's for incorrect answer =

20 - 36 = -16

No. Of Incorrect answers =

-16/-2 = 8

━━━━━━━━━━━━━━━━━━━━

(2) Marks obtained by Mohan = -5

Mark's obtained by correct answers =

7 × 3 =21

Then, Mark's for incorrect answer =

-5-21 = -26

No. of Incorrect answers =

-26/-2 = 13

$\large{ \therefore{ \underline{ \underline{ \rm{ \red{Hence \: solved \: \dag}}}}}}$

━━━━━━━━━━━━━━━━━━━━