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Question

If 1 is added to each odd digit and 2 is added to each even digit in the number 6134527, what will be the sum of the last and first digits of the new number thus formed?

The correct answer is
16

Number Transformation and Sum Calculation

The problem asks us to modify a given number, $6134527$, based on specific rules for its digits and then find the sum of the first and last digits of the newly formed number.

Digit Transformation Process

The rules are:

  • Add 1 to each odd digit.
  • Add 2 to each even digit.

Let's apply these rules to the number $6134527$:

  • Digit $6$ (even): $6 + 2 = 8$
  • Digit $1$ (odd): $1 + 1 = 2$
  • Digit $3$ (odd): $3 + 1 = 4$
  • Digit $4$ (even): $4 + 2 = 6$
  • Digit $5$ (odd): $5 + 1 = 6$
  • Digit $2$ (even): $2 + 2 = 4$
  • Digit $7$ (odd): $7 + 1 = 8$

New Number Formation

Combining the transformed digits, the new number formed is $8246648$.

Sum of First and Last Digits

Identify the first and last digits of the new number $8246648$:

  • First digit = $8$
  • Last digit = $8$

Calculate the sum:

Sum = First digit + Last digit

Sum = $8 + 8$

Sum = $16$

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Important Questions from Operations on Place Value

  1. In a certain code language, ‘RAJ’ is coded as ‘87’ and ‘GITA’ is coded as ‘148’. How will ‘VARUN’ be coded in that language?

  2. In a certain code language, ‘ALPINE’ is coded as ‘171’ and ‘SPRING’ is coded as ‘83’. How will ‘CAPITAL’ be coded in that language?

  3. In a certain code language, ‘SERVANT’ is coded as ‘192182211420’. How will ‘MAGNIFY’ be coded as in that language?

  4. If CAB is coded as 6 and BED is coded as 40, then how will HAD be coded as?

  5. In a certain code language, 'FUEL’ is coded as '50' and 'JEER' is coded as '44'. How will 'FARE' be coded in that language?

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