The number of workers in two departments X and Y with different experience levels is shown in the table:

Experience Level	Dept X	Dept Y
< 5 years	8	6
5-10 years	12	10
> 10 years	5	4

What is the ratio of workers with < 10 years experience in Dept X to Dept Y?

Correct Answer: The correct option is 5:4.

Step-by-step Explanation:

We are given a table showing the number of workers in two departments, X and Y, categorized by their experience levels:

- < 5 years: Dept X = 8, Dept Y = 6
- 5-10 years: Dept X = 12, Dept Y = 10
- > 10 years: Dept X = 5, Dept Y = 4

Step 1: Calculate the total number of workers with less than 10 years (< 10 years) of experience in Dept X.

Workers with < 10 years of experience include those in the "< 5 years" category and the "5-10 years" category.

For Department X:

$\text{Workers in Dept X}=8+12=20$

Step 2: Calculate the total number of workers with less than 10 years (< 10 years) of experience in Dept Y.

For Department Y:

$\text{Workers in Dept Y}=6+10=16$

Step 3: Find the ratio of workers with < 10 years experience in Dept X to Dept Y.

$\text{Ratio}=\frac{20}{16}$

Dividing both the numerator and denominator by their greatest common divisor, 4:

$\text{Ratio}=\frac{5}{4}=5:4$

Thus, the required ratio is 5:4.