In an examination, a candidate had to answer $25$ questions each requiring a single answer 'True' or 'False'. It was marked by giving $2$ marks for each correct answer and $- 1$ for each incorrect answer.
Write down a formula for the marks, $m$ , obtained by a candidate who answered all the questions but had only $x$ of them correct.

m = x^{2} + 42

No worries! We‘ve got your back. Try BYJU‘S free classes today!

m = 2 x^{2} - 85

No worries! We‘ve got your back. Try BYJU‘S free classes today!

m = 3 x - 25

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

m = 2 x + 32

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $m = 3 x - 25$
Let $x$ be the number of correctly solved qsns, then $25 - x$ will be the incorrectly solved qsns.
Let d $m$ be the total marks got
So, $m = 2 x - 1 (25 - x)$
$\Rightarrow m = 2 x - 25 + x$
$\Rightarrow m = 3 x - 25$

Suggest Corrections

Similar questions

In an examination, a candidate had to answer

25

questions each requiring a single answer 'True' or 'False'. It was marked by giving

2

marks for each correct answer and

- 1

for each incorrect answer.

Use your formula to find out how many of his answer were correct, if he answered all the questions and scored a total of

2

marks.

Q. Write down a formula for the marks, M, obtained by a candidate who answered all the questions but had only x of them correct.

Q. In an examination, a candidate attempts

90 %

of the total questions. Out of these,

70 %

of his answers are correct. Each question carries

3

marks for the correct answer and

(- 1)

mark for the wrong answer. If the marks secured by the candidate is

243

, what is the total number of questions?

Q. In a class test, 3 marks are awarded for each correct answer and -1 marks are awarded for each incorrect answer. A student scored 25 marks and had answered 10 questions correctly. How many questions did he answer incorrectly?

State true or false:
Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, Yash would have scored 50 marks. Then the total number of questions in the test was 25. (Assuming Yash attempted all questions)

Join BYJU'S Learning Program

The correct option is C m=3x−25Let x be the number of correctly solved qsns, then 25−x will be the incorrectly solved qsns. Let d m be the total marks got So, m=2x−1(25−x)⇒m=2x−25+x⇒m=3x−25

The correct option is C $m = 3 x - 25$
Let $x$ be the number of correctly solved qsns, then $25 - x$ will be the incorrectly solved qsns.
Let d $m$ be the total marks got
So, $m = 2 x - 1 (25 - x)$
$\Rightarrow m = 2 x - 25 + x$
$\Rightarrow m = 3 x - 25$