| Question | The first republic day of India was celebrated on January 26, 1950. What day of the week was it? | |
| Type | multiple_choice | |
| Option | Wednesday | incorrect |
| Option | Friday | incorrect |
| Option | Thursday | correct |
| Option | Tuesday | incorrect |
| Solution | ⇒ 1600 years are divisible by 400, so the year 1600 has 0 odd days. ⇒ 300 years have 1 odd day. ⇒ 49 years = (12 leap years + 37 years) = (12*2, odd days + 37*1, odd days) = 24 + 37 = 61 odd days On dividing 61 by 7, we get remainder 5, so 49 years have 5 odd days. ⇒From January 26, 1950, to January 26, 1950, we have 26 days. 26 days = 3 weeks + 5 odd days So, total number of odd days = 1 + 5 + 5 = 11 days ⇒11 days = 1 week + 4 odd days 4 odd days represent Thursday, so it was Thursday on January 26, 1950. | |
