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?
Answer & explanation
Correct answer: option 3
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 ($5$):
- 5
- 10
- 15
- 20
- 25
- 30
- 35
- 40
- 45
- 50
- 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.