The number given is 5894327614. We inter-change the first and the second, the third and the fourth, the fifth and the sixth and so on. Then when we count from the right end, which digit will be the sixth?
2
Number Rearrangement Explained
The question presents a numerical reasoning problem where we need to manipulate a given ten-digit number, 5894327614, according to a specific rule. The rule involves inter-changing digits in pairs. After performing this inter-change, our goal is to identify the sixth digit when counting from the right end of the newly formed number.
Original Number Analysis
Let's begin by noting down the original number provided:
- Original Number: \(5894327614\)
This number consists of 10 digits. The inter-change rule applies to pairs of digits, which means we will perform the operation 5 times, as there are five pairs in a 10-digit number.
Digit Inter-change Process
The rule specifies that we inter-change the first and second digits, the third and fourth, the fifth and sixth, and so on. We can visualize this by breaking down the original number into its constituent pairs from left to right and then swapping the digits within each pair.
| Pair Number | Original Digits (Left to Right) | Inter-changed Digits (Left to Right) |
|---|---|---|
| 1st Pair | \(58\) | \(85\) |
| 2nd Pair | \(94\) | \(49\) |
| 3rd Pair | \(32\) | \(23\) |
| 4th Pair | \(76\) | \(67\) |
| 5th Pair | \(14\) | \(41\) |
After performing the inter-change for all pairs, we concatenate the resulting pairs to form the new rearranged number. Combining the inter-changed pairs (\(85\), \(49\), \(23\), \(67\), \(41\)), the new number obtained is:
- New Rearranged Number: \(8549236741\)
Identifying the Sixth Digit from the Right
The final step is to count the digits from the right end of the newly formed number \(8549236741\) and find the sixth digit. Let's list the digits from right to left:
- The 1st digit from the right end is \(1\).
- The 2nd digit from the right end is \(4\).
- The 3rd digit from the right end is \(7\).
- The 4th digit from the right end is \(6\).
- The 5th digit from the right end is \(3\).
- The 6th digit from the right end is \(2\).
Therefore, after inter-changing the digits as per the given rule, the sixth digit when counted from the right end of the number is \(2\).
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)
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
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?
