Question

In a certain game of 50 questions, the final score is calculated by subtracting twice the number of wrong answers from the total number of correct answers. If a player attempted all questions and received a final score of 35, how many wrong answers did he give?
A) 5
B) 10
C) 15
D) 3

Answer 1

Hint:Make the assumption for the number of wrong and the correct answer in the game and then apply the given condition to reach the required result. Assume any of the quantities as any variable and then solve the problem.

Complete step-by-step answer:
It is given that the final score is calculated by subtracting twice the number of wrong answers from the total number of correct answers in a certain game of 50 questions.
We have to find the number of wrong answers in the game if he attempted all the questions and received a final score of 35.
Let us assume that the number of wrong answers given by the player in the game of 50 questions is $w$ and the total number of questions is 50.
Then the number of right answers given by him is $\left( {50 - w} \right)$.
It is given in the problem that the final score is obtained by subtracting twice the number of wrong answers from the total of the correct answers.
Then according to the given condition in the question, we have
$(50 - w) - 2w = 35$
Simplify the equation for the value of $w$.
$ \Rightarrow 50 - 3w = 35$
$ \Rightarrow - 3w = 35 - 50$
$ \Rightarrow - 3w = - 15$
$ \Rightarrow w = 15$
Therefore, the number of wrong answers given by the player is 15.

Note:It is given that the final score is calculated by subtracting twice the number of wrong answers from the total number of correct answers. It means that the negative marking is taking place is the game and if we attempt two questions correctly and one question is wrong then the obtained mark is zero.