Question

58. There were 240 multiple choice questions in an entrance
examination of a medical college. A candidate was given2 marks for every correct answer and penalized 1/2marks for every wrong answer.the candidate score 160 marks in the paper having answerd all the questions find the number of correct answer given by the candidate​

Answer 1

Answer:

Option B = 112

Step-by-step explanation:

2x - 1/2 (240-x) = 160

2x - 120 + 1/2x = 160

5/2x - 120 = 160

5/2x = 280

x = 280 * 2 / 5

x = 112

Answer 2

Concept:

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

Given:

There were 240 multiple choice questions in an entrance examination of a medical college. A candidate was given 2 marks for every correct answer and penalized 1/2marks for every wrong answer.the candidate score 160 marks in the paper having answered all the questions

Find:

find the number of correct answer given by the candidate​

Solution:

2x - 1/2 (240-x) = 160

2x - 120 + 1/2x = 160

5/2x - 120 = 160

5/2x = 280

x = 280 * 2 / 5

x = 112

Therefore,the number of correct answers given by the candidate is 112

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