Question
Download Solution PDFThe dates 3rd April, 2005; 6th August, 2010 and 5th December, 2013 when written in Date-Month-Year Form have a unique mathematical property. The Indian Independence Day of which year among the following has the same property?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLogic: If we see carefully we can find that these dates have property \({ {yy^2}} = { {dd^2}} + { {mm^2}} \)
3rd April, 2005 - 03/04/05
\({ {(05)^2}} = { {(03)^2}} + { {(04)^2}} \)
6th August, 2010 - 06/08/10
\({ {(10)^2}} = { {(06)^2}} + { {(08)^2}} \)
5th December, 2013 - 05/12/13
\({ {(13)^2}} = { {(05)^2}} + { {(12)^2}} \)
Similarly,
Independence day 2017 - 15 August 2017 - 15/08/17
By above logic: \({ {(17)^2}} = { {(15)^2}} + { {(08)^2}} \)
No other option satisfy the above condition. So, Indian Independence Day of 2017 has the same property.
Hence, option 1) is the correct answer.
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