A candidate appearing for an examination has to secure 35% marks to pass. But he secured only 40 marks and failed by 30 marks. What would be the maximum marks of test?

Options

A. 280
B. 180
C. 200
D. 150

Answer

To solve the problem step by step, let's denote the maximum marks of the test as \( X \).

### Step 1: Understand the passing criteria
The candidate needs to secure 35% of the maximum marks to pass the exam. Therefore, the passing marks can be expressed as:
\[ \text{Passing Marks} = 0.35 \times X \]

### Step 2: Determine the marks required to pass
According to the problem, the candidate scored 40 marks but failed by 30 marks. This means that the passing marks are 30 marks more than what the candidate scored:
\[ \text{Passing Marks} = 40 + 30 = 70 \]

### Step 3: Set up the equation
Now we can set the two expressions for passing marks equal to each other:
\[ 0.35 \times X = 70 \]

### Step 4: Solve for \( X \)
To find \( X \), we can rearrange the equation:
\[ X = \frac{70}{0.35} \]

Calculating the right-hand side:
\[ X = \frac{70}{0.35} = 200 \]

### Conclusion
Thus, the maximum marks of the test is \( 200 \).