Question
In the number ‘8984376589’, 1 is subtracted from
all the odd numbers and 1 is added to all the even numbers. Now, in the obtained number, how many such digits are there each of which remains at its original position when all the digits are arranged in ascending order within the number from left to right?Solution
8Â Â Â Â Â Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â Â Â Â Â 9 9Â Â Â Â Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â Â Â Â Â 9 Â Â Â Â Â Â Â Â Â Â Â Â Â 8 2Â Â Â Â Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â Â Â Â Â 9 Â Â Â Â Â Â Â Â Â Â Â Â Â 9
Pipe ‘A’ can fill a tank in 22 hours while pipe ‘B’ can empty it in 25 hours. They were operated on alternate hours starting with pipe ‘A’. ...
Pipe A can fill a tank in 8 hours, while pipe B can empty the full tank in 12 hours. Both pipes are opened together. After how many hours should pipe B ...
The ratio of the rate of filling of two taps A and B is 3:2, respectively. If working together they can fill 3/4 of a tank in 18 minutes, how long will ...
Tap ‘A’ and tap ‘B’ can fill a tank in 48 hours and 30 hours, respectively. If both taps are opened together, then find the time after which tap...
An inlet pipe can fill a tank in 10 hours, whereas an outlet pipe can empty the same tank in 25 hours. Find the time taken by two such inlet pipes and o...
Pipe ‘A’ and pipe ‘B’ can fill a cistern in 30 minutes and 10 minutes respectively. Pipe ‘C’ alone can empty the cistern in 12 minutes. If a...
Pipes A and B alone can fill a tank in 12 minutes and 18 minutes, respectively, while pipe C alone can empty the full tank in 36 minutes. If all the pip...
Two inlet pipes 'A' and 'B' can fill an empty tank in 30 minutes and 40 minutes, respectively. Another outlet pipe 'C' can empty the tank in 120 minutes...
Pipe ‘A’ can fill a tank in 25 hours while pipe ‘B’ takes 30 hours to empty it. Pipe ‘A’ is opened alone when the tank was empty and after 1...
Pipe ‘A’ and pipe ‘B’ can fill a cistern in 15 minutes and 36 minutes respectively. Pipe ‘C’ alone can empty the cistern in 12 minutes. If a...
Relevant for Exams:
