Question

In a class test containing 15 questions, 4 marks are given for every correct answer and (–2) marks are given for every incorrect answer. ​​​​​
(i) Gurpreet attempts all questions but only 9 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? [3 MARKS]

Answer 1

Application: 1 Mark
Steps: 1 Mark
Result: 1 Mark

(i) Marks given for one correct answer = 4
So, marks given for 9 correct answers
= 4 × 9 = 36
Marks given for one incorrect answer = – 2
So, marks for 6 (15 – 9) incorrect answers
= (–2) × 6 = –12

Therefore, Gurpreet’s total score
= 36 + ( –12) = 24

(ii) Marks given for one correct answer = 4
So, marks given for 5 correct answers
= 4 × 5 = 20
Marks given for one incorrect answer
= (–2)
So, marks for 10 (15 – 5) incorrect answers = (–2) × 10 = –20

Therefore, her friend’s total score
= 20 + ( –20) = 0