14. In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer
i) Rohan answered all questions and scored 24 marks though he got 8 correct answers.
ii) Smitha answered all questions and scored (-15) marks though he got 3 correct answers. How many incorrect
answer had they attempted.
Answer right and who answer right I mark him brainliest.
Answers
Given :
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer.
i) rohan answered all question and scored (-15) marks though he got 8 correct answer.
ii) smitha answered all question and scored (-15) marks though he got 3 correct ansewer
To find :
- How many incorrect answer had they attempted .
Solution :
Rohan answered 8 answers correct
Mark for correct answers = 8 * 5 = 40
Total Mark - 15
Marks for incorrect answers = 40
- (-15) = 55
Question incorrect answers attempted
= 55/2 = 27.5
Smita answered 3 answers correct
Mark for correct answers = 3 * 5 = 15
Total Mark = - 15
Marks for incorrect answers = 15
- (-15) = 30
Question incorrect answers attempted
= 30/2 = 15 .
Answer:
(i) Rohan got 8 answers wrong.
(ii) Smitha got 15 answers wrong.
Step-by-step explanation:
Given,
For a correct answer, +5 marks will be awarded to a student. And -2 marks will be awarded to the person for the incorrect answer.
Rohan scored 24 marks in total on a test, although he got 8 correct answers.
Smitha scored -15 marks in total on a test, although she got 3 correct answers.
To find,
The incorrect answers were answered by both of them.
Calculation,
(i) Rohan's case:
Let 'x' be the incorrect answer answered by Rohan.
As he answered all the questions then:
Marks for correct answers - marks of incorrect answers = marks he got
8(5) - x(2) = 24
⇒ 40 - 2x = 24
⇒ x = 8
Therefore, Rohan got 8 answers wrong.
(ii) Smitha's case:
Let 'y' be the incorrect answers answered by Smitha.
As she answered all the questions then:
Marks for correct answers - marks of incorrect answers = marks she got
3(5) - y(2) = -15
⇒ 15 - 2y = -15
⇒ y = 15
Therefore, Smitha got 15 answers wrong.
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