Aspire Faculty ID #16485 · Topic: NIMCET 2009 · Just now
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.

Solution

Numbers counted per minute = 200
Time needed for 1,000,000,000 numbers:

Minutes required = 1,000,000,000 / 200
= 5,000,000 minutes

Convert minutes:
5,000,000 minutes = 5,000,000 / 60 = 83,333.33 hours
= 3,472.22 days

Now include days off:
From 1 Jan 2001 to finish time → during this period, leap years add 1 day off every 4 years.

Total days ≈ 3472 + 1 leap day = 3473 days
Convert 3473 days to years:

3473 days = 9 years + remaining days
9 years = 3287 days
Remaining = 3473 – 3287 = 186 days

Now convert the decimal part of hours:
0.22×24 ≈ 5.20 hours
0.20×60 ≈ 20 minutes

Final answer = 9 years, 187 days, 5 hours, 20 minutes

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