Question

On what day of the week India will celebrate its Republic day on 26th January,2015?

• A. Sunday
• B. Monday
• C. Tuesday
• D. Wednesday

Answer 1

The correct option is B Monday

$26$ January $2015$ $=$($2014$ years $+$ period from $\mathrm{1.1.2015}to\mathrm{26.1.2015}$)
Odd days in $1600$ years $=0$
Odd days in $400$ years $=0$
$14$ years =($11$ ordinary years +$3$ leap years )=$11\times 1+3\times 2=17$ odd days
January $=26$ days
Therefore $26$ days $=3$ weeks $+5$ days$=5$ odd days
Total number of odd days$=17+5=22$
if we divide it by $7$ then = $1$ odd day
Therefore, given day is Monday.