(Left) 267 513 671 895 729 (Right)
(Example: 697 - First digit = 6, second digit = 9 and third digit = 7)
(NOTE: All operations to be done from left to right.)
If the digits of each number are added and their respective resultants are arranged in the ascending order, what is the number placed 4th from the right end?
Understanding the Problem
We are given five 3-digit numbers: 267, 513, 671, 895, and 729. The task is to perform two main operations:
- First, find the sum of the digits for each of these 3-digit numbers.
- Second, arrange these sums in ascending order.
- Finally, identify the number that is placed 4th from the right end in the ordered list.
The note clarifies that operations within a number are done from left to right, which is the standard way to sum digits.
Calculating Digit Sums for Each Number
Let's calculate the sum of digits for each given 3-digit number:
| Number | Calculation (Left to Right) | Sum of Digits |
|---|---|---|
| 267 | $2 + 6 + 7$ | 15 |
| 513 | $5 + 1 + 3$ | 9 |
| 671 | $6 + 7 + 1$ | 14 |
| 895 | $8 + 9 + 5$ | 22 |
| 729 | $7 + 2 + 9$ | 18 |
Arranging Digit Sums in Ascending Order
The sums we obtained are 15, 9, 14, 22, and 18. Now, we need to arrange these results in ascending order (from smallest to largest):
The ascending order is: 9, 14, 15, 18, 22.
Finding the 4th Number from the Right
We look at the ordered list of sums: 9, 14, 15, 18, 22.
Let's count from the right end:
- The 1st number from the right is 22.
- The 2nd number from the right is 18.
- The 3rd number from the right is 15.
- The 4th number from the right is 14.
- The 5th number from the right (which is the first number) is 9.
Therefore, the number placed 4th from the right end in the ascending list of digit sums is 14.
Important Questions from Number Arrangement
- If 2 is added to each even digit and 1 is subtracted from each odd digit in the number 5672493, then which of the following digits will be third from the left in the new number thus formed?
- If 2 is added to each even digit and 1 is subtracted from each odd digit in the number 29134576, then what will be the difference between the greatest and smallest digit in the number thus formed?
- If 2 is added to each even digit and 2 is added to each odd digit in the number 7145362, what will be the sum of the last two and first two digits in the new number thus formed?
- Each of the digits in the number 7231456 is arranged in ascending order from left to right. What will be the sum of the digits which are second from the left and second from the right in the new number thus formed?
Refer to the following number and symbol series and answer the question that follows.
All numbers are single-digits. Counting to be done from left to right only.
(Left) & 1 # 6 * ^ @ 3 & $ 7 Ω $ 2 # 6 @ 2 % 9 (Right)
If all the symbols are dropped from the series, which of the following will be third from the left?
