Question 5 of 14 · Calendar & Dates
Questionmedium

What day of the week was 15 August 1947?

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Answer: Option B — Friday

Detailed Solution

1

Odd days up to 1600 = 0, 1601–1900 = 1, 1901–1946 (46 years: 11 leap + 35 ordinary) = 11 × 2 + 35 = 57 → 1 odd day. Total so far 2.

2

1947 up to 15 Aug: Jan 31 (3), Feb 28 (0), Mar 31 (3), Apr 30 (2), May 31 (3), Jun 30 (2), Jul 31 (3), Aug 15 (1) = 17 → 3 odd days.

3

Total odd days = 2 + 3 = 5, and 5 odd days means Friday (0 = Sunday).

✓ Check

India's first Independence Day is widely recorded as Friday, 15 August 1947.

⚠ Common trap

(A) Thursday — counts 1600 years as 1 odd day or forgets that 1900 is not a leap year.

Quick tip

Odd days: 100 yrs = 5, 200 = 3, 300 = 1, 400 = 0; ordinary yr = 1, leap = 2

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Calendar & Dates — Preparation

This question tests your understanding of Calendar & Dates, a key topic in the Logical Reasoning section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.

Calendar questions ask you to find the day of the week for a given date, or how dates and days shift between years. The core idea is odd days: the number of days left over after complete weeks. An ordinary year has 1 odd day and a leap year has 2. A century year is a leap year only if it is divisible by 400, so 2000 was a leap year but 1900 was not. Exam questions test finding the day for a given date, finding when a calendar will repeat, and working forward or backward from a known day. Month codes make the day-for-date method quick once memorised. Remember that the day on 1 January moves forward by one day after an ordinary year and by two days after a leap year. Practise the calendar questions below, each with a step-by-step solution using the odd days method.