Question

In a test, +3 marks are given for every correct answer and -1 mark are given for every correct answer. Sona attempted all the questions and scored +20 marks though she got 10 correct answers. (i) How many incorrect answers has she attempted? (ii) How many questions were given in the test?

Answer 1

Answer:

Step-by-step explanation:

(i)sona got 10 answers correct.

    1 correct answer = 3 marks

    10 correct answers = 10×3 = 30 marks

but she got only 20

     1 wrong answer = -1 mark

   that means she attempted 10 incorrect answers.

(ii) from (i) she made 10 incorrect answers

     from the question 10 correct answers.

no.of questions in the test= no.of incorrect+ no.of correct answers

                                         = 10 + 10 = 20

Mark me brainliest please

Answer 2

$\sf\blue{Correct \ Question}$

In a test, 3 marks are given for every correct answer and -1 mark is given for every incorrect answer. Sona attempted all the questions and scored 20 marks though she got 10 correct answers.

(i) How many incorrect answers has she attempted?

(ii) How many questions were given in the test?

__________________________________

Answer:-

(i) She has attempted 10 incorrect answers.

(ii) There were 10 questions given in the test.

Given:

• In a test, 3 marks are given for every correct answer and -1 mark is given for every incorrect answer.

• Sona attempted all the questions and scored 20 marks though she got 10 correct answers.

To find:

• (i) How many incorrect answers has she attempted?

• (ii) How many questions were given in the test?

Solution:-

$\sf{Let \ the \ number \ of \ incorrect \ answers \ be \ x.}$

$\sf{According \ to \ the \ first \ condition}$

$\sf{Marks \ scored \ by \ correct \ answer+}$

$\sf{Marks \ loss \ by \ incorrect \ answers=}$

$\sf{Total \ marks \ scored.}$

$\sf{According \ to \ the \ given \ condition.}$

$\sf{3(10)-x=20}$

$\sf{\therefore{30-x=20}}$

$\sf{\therefore{-x=20-30}}$

$\sf{\therefore{-x=-10}}$

$\boxed{\sf{\therefore{x=10}}}$

$\sf\purple{\tt{\therefore{Number \ of \ incorrect \ answers=10}}}$

$\sf{Correct \ answers+Incorrect \ answers=Total \ questions}$

$\sf{\therefore{Total \ questions=20+10}}$

$\sf{\therefore{Total \ questions=30}}$

$\sf\purple{\tt{\therefore{There \ were \ 30 \ questions \ in \ the \ test.}}}$