If 2 is added to each even digit and 2 is subtracted from each odd digit in the number 5973642, then what will be the sum of all the even digits in the new number thus formed?
18
Take the number 5973642 digit by digit and apply the rule: add 2 to an even digit, subtract 2 from an odd digit.
Odd digits: 5 → 5 − 2 = 3; 9 → 9 − 2 = 7; 7 → 7 − 2 = 5; 3 → 3 − 2 = 1.
Even digits: 6 → 6 + 2 = 8; 4 → 4 + 2 = 6; 2 → 2 + 2 = 4.
So the new number, keeping the original order 5 9 7 3 6 4 2, becomes 3 7 5 1 8 6 4.
The even digits in this new number are 8, 6 and 4, whose sum is \(8 + 6 + 4 = 18\).
Hence, the sum of all the even digits in the new number is 18.
Similar Questions
Each of the digits in the number 1358274 is arranged in the ascending order from left to right. The position(s) of how many digits will remain unchanged as compared to that in the original number?
Each of the digits in the number 36857219 is arranged in the ascending order from left to right. What will be the sum of the digits which are second from the left and third from the right in the new number thus formed?
Each of the digits in the number 52178436 is arranged in ascending order from left to right. What will be the sum of the digits that are third from the left and third from the right in the number thus formed?
Each of the digits in the number 3147856 is arranged in ascending order from left to right. The position of how many digits will remain unchanged as compared to that in the original number?
Each of the digits in the number 3516472 is arranged in the ascending order from left to right. The position(s) of how many digits will remain unchanged as compared to that in the original number?
If 2 is added to each odd digit and 1 is subtracted from each even digit in the number 82135746, then what will be the difference between the first digit from the right end and the first digit from the left end in the new number thus formed?
If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 51748623, then how many digits will appear more than once in the new number thus formed?
If 1 is added to each odd digit and 1 is subtracted from each even digit in the number 47321568, which of the following digits will be first from the left in the new number thus formed?
If 2 is added to each odd digit and 1 is subtracted from each even digit in the number 2563174, then how many digits will appear more than once in the new number thus formed?
If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 5431786, what will be difference between the highest and lowest digits in the number thus formed?
Important Questions from Operations on Place Value
In a certain code language, ‘RAJ’ is coded as ‘87’ and ‘GITA’ is coded as ‘148’. How will ‘VARUN’ be coded in that language?
In a certain code language, ‘ALPINE’ is coded as ‘171’ and ‘SPRING’ is coded as ‘83’. How will ‘CAPITAL’ be coded in that language?
In a certain code language, ‘SERVANT’ is coded as ‘192182211420’. How will ‘MAGNIFY’ be coded as in that language?
If CAB is coded as 6 and BED is coded as 40, then how will HAD be coded as?
In a certain code language, 'FUEL’ is coded as '50' and 'JEER' is coded as '44'. How will 'FARE' be coded in that language?
