X got 98 marks in his exam which is 56% of the total marks. What is the maximum marks of the exam?

The correct option is 175.

To find the maximum marks of the exam, we can set up a simple algebraic equation based on the percentage of marks obtained by X.

Let the maximum marks of the exam be represented by $M$.

According to the problem, X got 98 marks, which is equal to 56% of the total maximum marks ($M$). We can write this relation as:
$56\%\text{ of }M=98$

We can convert the percentage to a fraction to solve for $M$:
$\frac{56}{100}\times M=98$

Now, isolate $M$ by multiplying both sides by 100 and dividing by 56:
$M=\frac{98\times 100}{56}$

We can simplify the fraction by dividing both 98 and 56 by their common divisor, 14 (since $98=14\times 7$ and $56=14\times 4$):
$M=\frac{7\times 100}{4}$

Simplify further by dividing 100 by 4:
$M=7\times 25$

Calculate the final value:
$M=175$

Thus, the maximum marks of the exam are 175.