NIMCET 2009
How long would it take you to count 1 billion orally if you could count 200 every minute and were given a day off every four years? Assume that you start counting on 1 January 2001.
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option C — 9 years, 187 days, 5 hours, 20 minutes
Detailed Solution
Minutes needed: . Dividing by 1440 minutes per day gives 3472 days and 320 minutes, i.e. 3472 days 5 hours 20 minutes of counting.
From 1 January 2001, nine years (2001 to 2009, with leap years 2004 and 2008) have days, and two days off fall in this time (after 4 and after 8 years).
Counting days still needed after 9 years: . Total: 9 years, 187 days, 5 hours, 20 minutes.
✓ Check
counting days, and minutes.⚠ Common trap
Forgetting the two leap days gives 189 days, and forgetting the two days off gives 185 days; neither matches an option.Quick tip
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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.