# in an examination a student scores 3 marks for every correct answer

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## In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempted correctly, is

Click here👆to get an answer to your question ✍️ In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempted correctly, is

Question

## In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempted correctly, is

**A**

## 35

**B**

## 40

**C**

## 42

**D**

## 46

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Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is B)

If the number of correct answer be x, thenthe number of incorrect answer is (75−x).

∴4x−(75−x)=125orx=40

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## [Solved] A student gets +3 marks for each right answer and

Given: The student gets +3 marks for each right answer and -0.5 mark for each wrong answer Total number of questions = 250 Total mark secured = 477

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## Question

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## A student gets +3 marks for each right answer and -0.5 mark for each wrong answer in an exam consists of 250 question. If the student get 477 marks in the exam; Find the number of wrong questions attempted by student.

78 52 48 74

## Answer (Detailed Solution Below)

Option 1 : 78

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## Detailed Solution

Download Solution PDF

**Given:**

The student gets +3 marks for each right answer and -0.5 mark for each wrong answer

Total number of questions = 250

Total mark secured = 477

**Concept:**

Assume the student has attempted all the 250 questions, so that if number of Wrong questions = x then, number of Right questions = 250 - x

**Calculation:**

Let number of Wrong questions attempted = x

⇒ Number of Right questions attempted = 250 - x

Now,

((250 - x) × 3) - (x × (1/2)) = 477

⇒ ((750 - 3x) × 2) - x = 477 × 2

⇒ 1500 - 6x - x = 954

⇒ 7x = 546 ∴ x = 546/7 = 78

The number of wrong questions attempted by student = 78

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## In an examination a student scores 3 marks for every correct answer and loses 2 mark for every wrong answer. If he attempts all 150 questions and scores 400 marks, wat is the number of questions he attempts incorrectly is?

Answer (1 of 8): In an examination (+3) allotted for each correct answer and (-2) for each wrong answer). Student scores 400 marks. Let him get x correct answers and (150 - x) answers wrong. Equation formed would be: 3x - 2(150- x) = 400 => 3x - 300 + 2x = 400 5x = 700 therefore x = 140. Hen...

In an examination a student scores 3 marks for every correct answer and loses 2 mark for every wrong answer. If he attempts all 150 questions and scores 400 marks, wat is the number of questions he attempts incorrectly is?

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Sort Ram Kushwah

B.Tech in Mathematics & Vipassanā (meditation), Malaviya National Institute of Technology, Jaipur (Graduated 1990)Author has 5.2K answers and 10.6M answer viewsJun 3

Let correct ans=x then wrong answers

=150−x =150−x then3x−2(150−x)=400 then3x−2(150−x)=400 3x−300+2x=400 3x−300+2x=400 5x=700 5x=700 x=140 x=140

Thus wrong answered qn

=150–140=10 =150–140=10 Related questions

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In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, what is the number of questions he attempted correctly?

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In an examination, a student scores 5 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempts correctly, is :?

Uma Subramanian

Studied at Mumbai, Maharashtra, India (Graduated 1977)Author has 2.9K answers and 2.1M answer views2y

In an examination (+3) allotted for each correct answer and (-2) for each wrong answer). Student scores 400 marks.

Let him get x correct answers and (150 - x) answers wrong. Equation formed would be:

3x - 2(150- x) = 400

=> 3x - 300 + 2x = 400

5x = 700 therefore x = 140.

Hence the student has answered 140 questions correctly and 10 questions incorrectly.

Let's check:

Correct = 3*140= 420

Wrong = 2*10 = (-) 20

Net marks scored= 400 marks.

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Manjunath Subramanya Iyer

I am a retired bank officer teaching mathsAuthor has 7.2K answers and 7.7M answer views1y

Suppose he has answered x questions incorrectly.

Then he has answered 150 - x questions correctly.

So we have the equation

(150 - x)(3) + (- 2)(x) = 400

=> 450 - 3x - 2x = 400

=> 450 - 400 = 3x + 2x.

=> 5x = 50 x = 10.

So the student answered 10 questions wrongly.

Raji Bala Sep 25

Let number of correctly answered questions be x

number of wrongly answered questions = 150 - x

x(3) + ((150-x) * (-2)) = 400

3x -300 + 2x = 400 5x = 700 x = 140

number of incorrectly attempted questions = 150-x

= 150–140 = 10 Related questions

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Raji Bala

UPSC aspirant, former employee at Amazon, CS EngineerSep 25

Let number of correctly answered questions be x

number of wrongly answered questions = 150 - x

x(3) + ((150-x) * (-2)) = 400

3x -300 + 2x = 400 5x = 700 x = 140

number of incorrectly attempted questions = 150-x

= 150–140 = 10

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Rajendra Kumar Phophalia

BE from Birla Institute of Technology and Science, PilaniAuthor has 4.9K answers and 1.5M answer views2y

Let he does x question in incorrectly. So 3(150-x)-2x=400 or 450–3x-2x=400 or -5x=400–450=-50 or x=10. So he did answered 10 incorrectly and 140 correctly questions.

Guys, does anyone know the answer?