Understanding the Digit Rearrangement Problem
The question asks us to first rearrange the digits of a given number, 513946287, in ascending order. After forming the new number, we need to find the sum of two specific digits: the one that is second from the left and the one that is third from the right.
Step 1: Identify and List the Digits
The original number is 513946287. Let's list all the digits present in this number:
- 5
- 1
- 3
- 9
- 4
- 6
- 2
- 8
- 7
Step 2: Arrange Digits in Ascending Order
Ascending order means arranging the digits from the smallest to the largest. Sorting the digits listed above, we get:
1, 2, 3, 4, 5, 6, 7, 8, 9
This sequence forms the new number when arranged from left to right.
Step 3: Form the New Number
Using the sorted digits, the new number formed is:
123456789
Step 4: Identify the Required Digits
Now, we need to find two specific digits in this new number (123456789):
- Second digit from the left: Counting from the left, the first digit is 1, and the second digit is 2.
- Third digit from the right: Counting from the right, the first digit is 9, the second is 8, and the third digit is 7.
Step 5: Calculate the Sum
The final step is to calculate the sum of the two identified digits (2 and 7).
Sum = Second digit from left + Third digit from right
Using LaTeX notation for the calculation:
Sum = $2 + 7$
Sum = $9$
Conclusion
Therefore, the sum of the digit second from the left and the digit third from the right in the newly formed number (123456789) is 9.
Important Questions from Sequence & Series
4 is related to 64 following a certain logic. Following the same logic, 9 is related to 729. To which of the following is 12 related following the same logic?
(NOTE: Operations should be performed on whole numbers without breaking down the numbers into their constituent digits. E.g., 13 – Operations on 13 such as adding/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.)What should come in place of ? in the given series based on the English alphabetical order?
ACE, FHJ, KMO, PRT, ?
Which of the following numbers will replace the question mark (?) in the given series?
3, 17, 83, 329, ?, 1961
Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Find the area (in cm²) of the sector, where the radius of the circle is 24 cm and length of the arc is 7 cm.
