Direction (41–52): What will come in the place of (?) mark in following question?

$\frac{5}{8}\text{ of }\frac{4}{9}\text{ of }\frac{3}{5}\text{of}\mathrm{ 654}=?$

To find the value that comes in place of the question mark (?), we can follow the mathematical rules of simplification. The word "of" in mathematical expressions represents multiplication (×).

The given expression is:
$\frac{5}{8}\times \frac{4}{9}\times \frac{3}{5}\times 654=?$

We can solve this step-by-step by grouping the fractions and simplifying them:

Step 1: Simplify the product of the first two fractions
Let's multiply the first two terms:
$\frac{5}{8}\times \frac{4}{9}=\frac{5\times 4}{8\times 9}$
We can simplify this by dividing both 4 in the numerator and 8 in the denominator by 4:
$\frac{5\times 1}{2\times 9}=\frac{5}{18}$

Step 2: Multiply the result by the third fraction
Now, multiply this result by the next term, $\frac{3}{5}$:
$\frac{5}{18}\times \frac{3}{5}=\frac{5\times 3}{18\times 5}$
Here, the number 5 in the numerator and denominator cancel each other out. Additionally, we can simplify $\frac{3}{18}$ by dividing both terms by 3:
$\frac{1}{6}$

Step 3: Multiply by the final integer
Finally, multiply this simplified fraction by 654:
$\frac{1}{6}\times 654=\frac{654}{6}$
Performing the division:
$654/6=109$

Therefore, the correct answer is 109.