NIMCET 2021 — Reasoning PYQ

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Question

NIMCET 2021 — Reasoning PYQ

NIMCET | Reasoning | 2021

If it is Saturday on January 1, 2000, then January 1, 2001 would have been

Choose the correct answer:

Explanation

Solution

To find the day on the same date in the subsequent year, we must determine if the current year is a Leap Year or an Ordinary Year.

1. Identify the Year Type

The year 2000 is divisible by 400 (since it is a century year, we divide by 400 instead of 4).

\frac{2000}{400} = 5 \text{ (No remainder)}

Thus, 2000 is a Leap Year.

2. Calculate Odd Days

An Ordinary Year has 365 days, which equals 52 weeks and 1 odd day.
A Leap Year has 366 days (due to February 29), which equals 52 weeks and 2 odd days.

Since the period from January 1, 2000, to January 1, 2001, includes February 29, 2000, we must account for 2 odd days.

3. Determine the Day

\text{Day on Jan 1, 2001} = \text{Day on Jan 1, 2000} + 2 \text{ odd days}

\text{Day} = \text{Saturday} + 2 \text{ days}

\text{Saturday} \xrightarrow{+1} \text{Sunday} \xrightarrow{+2} \text{Monday}

4. Final Answer

January 1, 2001, would have been a Monday.

Correct Option: B) Monday