Question 164

‘3’ is subtracted from each odd digit and ‘1’ is added to each even digit in the number 4972863 and all the numbers thus formed are arranged in ascending order from left to right. Which of the following digits will be exactly in the middle of the new number thus formed ?

Solution

3 is subtracted from each odd digit and 1 is added to each even digit. The no. 4972863 becomes :

4 (+1) = 5

9 (-3) = 6

7 (-3) = 4

2 (+1) = 3

8 (+1) = 9

6 (+1) = 7

3 (-3) = 0

Now, 5643970 when arranged in ascending order becomes = 0345679

Digit exactly in the middle = 5


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