A person chooses a 3 digit number of the form N=ABC where A,B,C are distinct digits.He then considered all possible numbers of the form ACB,BCA,BAC,CAB and CBA.He then added these 5 numbers and got the result 3194.Determine the number N
Tuesday, 31 March 2015
Saturday, 21 March 2015
Page numbers of a book-Rejoinder
There has been no response so far.
However the solution can be arrived at as follows-
If there were 63 pages in the book,the sum of the page numbers from 1 to 63 will be 2016.
As the addition of an extra page number gave the total 2014,the total number of pages could not be 63 but 62.
For 62 pages the sum of the page numbers will be 1953 and so the page number added wrongly should be 2014-1953=61.
However the solution can be arrived at as follows-
If there were 63 pages in the book,the sum of the page numbers from 1 to 63 will be 2016.
As the addition of an extra page number gave the total 2014,the total number of pages could not be 63 but 62.
For 62 pages the sum of the page numbers will be 1953 and so the page number added wrongly should be 2014-1953=61.
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