In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If she/he attempts all 60 questions and secures 130 marks, the number of questions she/he attempts wrongly are?

Question

A company manufactures only three types of vehicles: bikes, cars, and trucks. In 2021, the number of bikes manufactured was 40% of the number of bikes manufactured in 2022. The number of trucks manufactured in 2022 was 25% more than in 2021. In 2022, the number of trucks manufactured was the average of the number of bikes and cars manufactured that year. The company manufactured 10% fewer cars in 2021 as compared to 2022. The total number of vehicles produced in 2022 was 120,000. In 2021, the ratio of bikes and trucks manufactured was 1:4. How many cars were produced in 2022?

Answer 1

Let \( x \) represent the number of correct answers. Consequently, the number of incorrect answers is \( 60 - x \). The total score is computed as follows: \[4x - (60 - x) = 130\]Upon simplification: \[4x - 60 + x = 130\]\[5x - 60 = 130\]\[5x = 190\]\[x = 38\]This indicates that the student answered 38 questions correctly. The quantity of incorrect answers is \( 60 - 38 = 22 \).
Step 2: Conclusion.
Therefore, 22 questions were answered incorrectly. The correct answer is 2. 22.

In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If she/he attempts all 60 questions and secures 130 marks, the number of questions she/he attempts wrongly are?

Show Hint

The Correct Option is B

Solution and Explanation

Top Questions on Basic Algebra

Questions Asked in CUET (PG) exam