Correct Answer: Sunday

Solution : Code for months –

Code for days –

Code for centuries –

For, 15th of April 2029 –
Formula: {Date + (Month code) + (Century code) + ( last two digit of the year) + ((last two digit of the year / 4)'s Quotient)} / 7

Date = 15
Code for the month (April) = 6
Code for the century (2000) = 6
(2029 = 2000 + 29; For 2000 it will be 6 and for 29 it will be 29)
And, 29 ÷ 4 = 7(Quotient)
Now, on adding them we get→15 + 6 + 6 + 29 + 7 = 63
On dividing 63 by 7, we get 0 as a remainder.
0 is the code for Sunday.

So, the 24th of October 2011 will be Monday. Hence, the fourth option is correct.