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Question

If 3 is added to each odd digit and 1 is subtracted from each even digit in the number 6243514, what will be the sum of the digits which are second from the left and second from the right?

The correct answer is
5

Number Transformation Steps

The starting number given is 6243514. The task involves modifying each digit based on whether it is odd or even.

Applying Digit Modification Rules

We need to follow two rules:

  • Add 3 to each odd digit.
  • Subtract 1 from each even digit.

Let's apply these rules to the number 6243514:

Original Digit Type Operation Resulting Digit
6 Even $6 - 1$ 5
2 Even $2 - 1$ 1
4 Even $4 - 1$ 3
3 Odd $3 + 3$ 6
5 Odd $5 + 3$ 8
1 Odd $1 + 3$ 4
4 Even $4 - 1$ 3

After applying the rules, the sequence of digits becomes 5, 1, 3, 6, 8, 4, 3. The new number formed is 5136843.

Identifying Second Digits

The question asks for the sum of the digits that are second from the left and second from the right in the new number.

The new number is 5136843.

  • The digit second from the left is 1.
  • The digit second from the right is 4.

Sum of Second Digits Calculation

To find the final answer, we sum the two identified digits:

Sum = (Second digit from left) + (Second digit from right)

Sum = $1 + 4$

Sum = $5$

Therefore, the sum of the digits second from the left and second from the right after the transformation is 5.

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Important Questions from Sequence & Series

  1. 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.)

  2. What should come in place of ? in the given series based on the English alphabetical order?

    ACE, FHJ, KMO, PRT, ?

  3. Which of the following numbers will replace the question mark (?) in the given series? 

    3, 17, 83, 329, ?, 1961

  4. 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.)

  5. 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.

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