Question

If 13^th June 2014 is Friday, then the day on 9^th April 2019 is

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

Hint:

In calendar problems, always break the time gap into complete years and remaining months for easier calculation.

Answer 1

The Correct Option is B

Concept: To find the day, count the total odd days between the two dates. \[ \text{Odd days} = \text{Total days} \bmod 7 \]

Step 1: Count complete years from 13 June 2014 to 13 June 2018.
Years: 2015, 2016, 2017, 2018 Days: \[ 365+366+365+365 \] \[ =1461 \] Odd days: \[ 1461 \div 7 = 208 \text{ weeks } + 5 \text{ days} \] So: \[ 5 \text{ odd days} \]

Step 2: Count from 13 June 2018 to 9 April 2019.
Remaining days: June: \[ 17 \] July: \[ 31 \] August: \[ 31 \] September: \[ 30 \] October: \[ 31 \] November: \[ 30 \] December: \[ 31 \] January: \[ 31 \] February: \[ 28 \] March: \[ 31 \] April: \[ 9 \] Total: \[ 17+31+31+30+31+30+31+31+28+31+9 \] \[ =300 \] Odd days: \[ 300 \div 7 = 42 \text{ weeks } + 6 \text{ days} \] So: \[ 6 \text{ odd days} \]

Step 3: Total odd days.
\[ 5+6=11 \] \[ 11 \bmod 7=4 \] Starting day: \[ Friday \] After 4 days: \[ Saturday(1), Sunday(2), Monday(3), Tuesday(4) \] Thus, the day is: \[ \boxed{\text{Tuesday}} \]