Question

Arrange the following numbers in ascending and descending orders:

$15,55,65,25,45,35,95,85,75$

• A. Ascending order: $15<25<35<45<55<65<75<85<95$
  
  Descending order: $95>85>75>65>55>45>35>25>15$
• B. Ascending order: $95,85,75,65,55,45,35,25,15$
  
  Descending order: $15,25,35,45,55,65,75,85,95$
• C. It cannot be arranged as all the Ones place digits are same for all numbers.

Answer 1

The correct option is A Ascending order: $15<25<35<45<55<65<75<85<95$


Descending order: $95>85>75>65>55>45>35>25>15$
Each one of the numbers $15,55,65,25,45,35,95,85,75$ is a 2-digit number.

Hence, first, we need to look for the Tens place digit of each number.

$\to$ The number which has largest digit at Tens place is the largest, and
the number which has the smallest digit at Tens place is the smallest.

For ascending order, we find the smallest number first.

The number 15 has the smallest digit at Tens place compared to other given numbers. Hence it is the smallest number.

Similarly, the next smallest number from remaining numbers is 25.
In the same we arrange the numbers in ascending order:

$15<25<35<45<55<65<75<85<95$

To arrange the numbers in descending order, we reverse the order of the ascending order:

$95>85>75>65>55>45>35>25>15$