The 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?
 

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RRB ALP Previous Paper 14 (Held On: 20 Aug 2018 Shift 3)
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  1. 2017
  2. 2016
  3. 2018
  4. 2015

Answer (Detailed Solution Below)

Option 1 : 2017
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Detailed Solution

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Logic: 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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