There are 180 multiple choice questions in a test. If a candidate gets 4 marks for every correct answer and for every unattempted or wrongly answered question one mark is deducted from the total score of correct answers. If a candidate scored 450 marks in the test, how many questions did he answer correctly?

Explanation

To solve the problem step by step, we can follow these calculations:

### Step 1: Define the Variables
Let \( x \) be the number of questions answered correctly by the candidate.

### Step 2: Determine the Number of Incorrect and Unattempted Questions
Since there are a total of 180 questions, the number of questions that are either unattempted or answered incorrectly is:
\[
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