What was the day of the week on 6th April, 2024 if 6th April, 2023 was Thursday?

We need to find the day of the week on 6th April, 2024 given that 6th April, 2023 was a Thursday.
Let's look at the time elapsed between these two dates:
From 6th April, 2023 to 6th April, 2024 is exactly 1 year.

Let's check if the period contains a leap day:
The year 2024 is a leap year because it is perfectly divisible by 4.
The month of February 2024 falls within the period from 6th April, 2023 to 6th April, 2024. Therefore, this period contains $366\text{ days}$ instead of the usual $365\text{ days}$.

Calculate the number of odd days:

$$\text{Number of odd days}=366(\mathrm{mod}7)=2\text{ odd days}$$

Advance the day of the week by 2 days from Thursday:

$$\text{Thursday}+2\text{ days}=\text{Saturday}$$

Therefore, 6th April, 2024 was a Saturday.