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Question

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?

The correct answer is
8

Digits Arrangement

The initial number given is 7231456.

The digits present in this number are 7, 2, 3, 1, 4, 5, and 6.

The question asks us to arrange these digits in ascending order from left to right.

Arranging the digits {1, 2, 3, 4, 5, 6, 7} in ascending order gives us the new sequence:

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7

The new number formed by these ordered digits is 1234567.

Identifying Key Digits

We need to find the sum of two specific digits from this new number (1234567):

  • The digit that is second from the left.
  • The digit that is second from the right.

In the number 1234567:

  • The first digit from the left is 1.
  • The second digit from the left is 2.
  • The first digit from the right is 7.
  • The second digit from the right is 6.

Sum Calculation

Finally, we need to calculate the sum of these two identified digits.

The second digit from the left is 2.

The second digit from the right is 6.

The sum is calculated as:

Sum = (Second digit from left) + (Second digit from right)
Sum = 2 + 6
Sum = 8

Using LaTeX notation for the sum:

$\( 2 + 6 = 8 \)$

Therefore, the sum of the digits which are second from the left and second from the right in the newly formed number is 8.

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Important Questions from Number Arrangement

  1. 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?
  2. 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?
  3. 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?
  4. This question is based on the five, three-digit numbers given below.
    (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?
  5. 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?

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