Question

There were 100 questions in an examination. A
student was given 5 marks for every correct
answer and penalised 2 marks for every incorrect
answer. A student answered all the questions
and could score 241 marks. How many questions
did he answer correctly ?​

Answer 1

Answer:

63 questions

Step-by-step explanation:

Given

Number of questions : 100

Marks awarded for correct answers : 5 marks

Maximum marks : 500

Marks awarded for wrong answers : -2 marks

Let the questions attended correctly be x and questions attended incorrectly be (100-x)

According to the question

= 5(x)+(-2)(100-x)= 241

= 5x-200+2x=241

= 7x-200=241

= 7x = 241+200

= 7x = 441

= x = 441/7

= x = 63

Hence, the number of questions answered correctly is 63.

Answer 2

Answer:
63
Step-by-step explanation:
Take the number of qs answered correctly as 'X'
therefore, the number of questions answered incorrectly is 100-x
total marks got is 241 that is given

Marks obtained by the person for answering x number of questions is 5x
Marks lost for each wrong answer is 2 into 100-x
there we can form an equation 5x -2(100-x) = 241
we get 7x = 441 after removing the brackets and transposing
hence x=63