If all the numbers from 5 to 85 which are exactly divisible by 5 are arranged in descending order, then which of the below given numbers shall come at the eleventh place from the bottom?

55

The correct answer is Option (3) → 55

1. Identify the Numbers

The numbers from 5 to 85 that are exactly divisible by 5 are:

$5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85$

2. Arrange in Descending Order

Now, let's arrange them in descending order (from highest to lowest):

$85, 80, 75, 70, 65, 60, 55, 50, 45, 40, 35, 30, 25, 20, 15, 10, 5$

3. Find the Eleventh Place from the Bottom

In a descending list, the "bottom" refers to the end of the list (the smallest value). We start counting from the last number ($5$):

1. 5
2. 10
3. 15
4. 20
5. 25
6. 30
7. 35
8. 40
9. 45
10. 50
11. 55

Alternative Mathematical Method:

Since the numbers from the bottom form an arithmetic progression ($a = 5$, $d = 5$):

$\text{Position}_{11} = a + (n - 1)d$

$\text{Position}_{11} = 5 + (11 - 1) \times 5$

$\text{Position}_{11} = 5 + 50 = 55$

Answer: The number at the eleventh place from the bottom is 55.