Read the following numbers carefully and answer the questions as per direction given after the number series: 289 496 337 268 245 If all the digits are to be arranged in increasing order from left to right within the number, then what will be the difference between the highest number and the lowest number thus obtained?
224
This question requires us to perform a two-step process on a given series of numbers. First, we need to rearrange the digits within each number in a specific order. Second, we must identify the highest and lowest numbers from the new set and calculate their difference.
Number Arrangement Task Explained
We are provided with the following series of numbers:
- 289
- 496
- 337
- 268
- 245
The primary instruction is to arrange all the digits within each number in increasing order from left to right. This means for each number, we treat its individual digits as separate entities, sort them from smallest to largest, and then form a new number using these sorted digits.
Digit Arrangement Step-by-Step
Let's apply the rearrangement rule to each number in the original series to obtain the new numbers:
- For the number 289: The digits are 2, 8, 9. When arranged in increasing order, they remain 2, 8, 9. The new number obtained is 289.
- For the number 496: The digits are 4, 9, 6. When arranged in increasing order, they become 4, 6, 9. The new number obtained is 469.
- For the number 337: The digits are 3, 3, 7. When arranged in increasing order, they remain 3, 3, 7. The new number obtained is 337.
- For the number 268: The digits are 2, 6, 8. When arranged in increasing order, they remain 2, 6, 8. The new number obtained is 268.
- For the number 245: The digits are 2, 4, 5. When arranged in increasing order, they remain 2, 4, 5. The new number obtained is 245.
Here is a summary table showing the transformation of each number:
| Original Number | Digits | Digits Arranged in Increasing Order | New Number Obtained |
|---|---|---|---|
| 289 | 2, 8, 9 | 2, 8, 9 | 289 |
| 496 | 4, 9, 6 | 4, 6, 9 | 469 |
| 337 | 3, 3, 7 | 3, 3, 7 | 337 |
| 268 | 2, 6, 8 | 2, 6, 8 | 268 |
| 245 | 2, 4, 5 | 2, 4, 5 | 245 |
Highest and Lowest Numbers Identification
After performing the digit arrangement, the new set of numbers we have is: 289, 469, 337, 268, 245.
Our next step is to identify the highest number and the lowest number from this newly formed series:
- By comparing all the numbers (289, 469, 337, 268, 245), the highest number among them is 469.
- Similarly, by comparing all the numbers, the lowest number among them is 245.
Difference Calculation
Finally, we need to find the difference between the highest number and the lowest number obtained from the digit arrangement process.
Difference = Highest Number - Lowest Number
Difference = \$469 - 245\$
Let's perform the subtraction:
\$ \begin{array}{r} 469 \\ - \quad 245 \\ \hline 224 \end{array} \$
Thus, the difference between the highest number and the lowest number obtained after arranging the digits in increasing order is 224.
Important Questions from Number Arrangement
In the following number sequence, how many times an odd number is immediately followed by an even number?
5 3 8 4 7 9 6 5 3 9 2 7 8 2 1 4 5 6 3 8 2 6 5 8 6 7
Select the set in which the numbers are related in the same way as are the numbers of the given sets.
( NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.
E.g. 13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(5, 60, 70)
(9, 108, 126)
Select the option in which the numbers are related in the same way as are the numbers in the given set.
(131, 142, 153)
How many 5's are there in the given sequence which are neither immediately preceded by 1 nor immediately followed by 3?
1 3 5 5 3 1 4 8 3 6 7 7 1 5 3 1 5 3 8
Look at this series: G2, J8 _______ P32, S50 So what would be appropriate to fill in the blanks?
A. M12
B. H12
C. N10
D. Q10
