In a class test containing 10 questions, 2 marks are given for every correct answer and $-1$ mark awarded for every incorrect answer and gets 0 marks for questions not attempted.(a) Radha gets 4 correct and 6 incorrect answers. What is her score ? (b) One of her friend gets only 5 answer correct out of 7 questions she attempted. What is her score ?
Given :
Total number of questions $= 10$
Marks given for every correct answer $= 2$
Marks given for every incorrect answer $= -1$
To find :
We have to find the total score of Radha and her friend.
Solution :
(i)
Total questions attempted by Radha $= 10$
Correct answers by Radha $= 4$
Incorrect answers by Radha $= 6$
Marks given for correct answers $= 4 \times 2 = 8$
Marks given for incorrect answers $= 6 \times (-1) = -6$
Total score of Radha $= 8 - 6 = 2$.
(ii)
Total questions attempted by her friend $= 7$
Correct answers by her friend $= 5$
Incorrect answers by her friend $= 7 -5 = 2$
Marks given for correct answers $= 5 \times 2 = 10$
Marks given for incorrect answers $= 2 \times (-1) = -2$
Total score of her friend $= 10 - 2 = 8$
Total score of radha is 2, and total score of her friend is $8$
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