Question

In a class test containing 20 questions, 4 marks are given for every correct answer and (–2) marks are given for
every incorrect answer.
(i) Pratibha attempts all questions but only 15 of her answers are correct.What is her total score?
(ii) One of her friends gets only 5 answers correct. What will be her score?

Answer 1

GivEn:

• In a class test containing 20 questions, 4 marks are given for every correct answer and (–2) marks are given for every incorrect answer.
• Pratibha attempts all questions but only 15 of her answers are correct.
• One of her friends gets only 5 answers correct.

To find:

• Pratibha's score and her friends score?

Solution:

• Let there scores be x

→ If only 15 answers of prathiba were correct, 5 of them were incorrect.

→ If only 5 answers of her friend are correct, 15 of them were wrong.

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« Finding prathiba's score,

→ x = 15(4) + 5(-2)

→ x = 60 + (-10)

→ x = 50

∴ Hence, Prathiba's total score is 50 marks.

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« Now, Let's find her friends score,

→ x = 15(-2) + 5(4)

→ x = -30 + 20

→ x = -10

∴ Hence, Total score of Prathiba's friend is -10 marks.