In a test +3 marks are given for every correct answer and -1 mark is given for every incorrect answer. Sonali attempted all the questions and scored +20 marks, though she got 10 correct answers. i) How many questions were given in the test
Answers
Step-by-step explanation:
Given :-
In a test +3 marks are given for every correct answer and -1 mark is given for every incorrect answer. Sonali attempted all the questions and scored +20 marks, though she got 10 correct answers.
To find :-
i) How many questions were given in the test ?
Solution :-
Given that
Marks are given for every correct answer = (+3)
Marks are given for every incorrect answer = (-1)
Number of correct answers are given by Sonali
= 10
Total marks for 10 correct answers
=> 10×(+3)
=> (+30) marks
Let the number of incorrect answers given by Sonali be X
Marks for X incorrect answers
= X×(-1)
= (-X) marks
Total score of Sonali
= Marks for Correct answers + Marks for Incorrect answers
= (+30)+(-X)
=> ( +30-X ) marks
According to the given problem
The score of Sonali = +20 marks
=> (+30-X) = +20
=> -X = +20-30
=> -X = -10
=> X = 10
Number of incorrect answers are given by Sonali = 10
If she attempted all questions
The total questions
= Correct Questions + Incorrect Questions
= 10+10
= 20
Total questions = 20
Answer:-
Total number of all questions in the test is 20
ANSWER:
- TOTAL QUESTION GIVEN IN TEST WERE, 20
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