If today is a Sunday after 147 days it will be?      a. Friday          b. Sunday        c. Monday       d. Tuesday

1. Break Down the Problem

To determine what day it will be 147 days from a Sunday, we need to calculate the remainder when 147 is divided by 7 (the number of days in a week).

2. Relevant Concepts

The cycle of the week repeats every 7 days, so the formula we will use is: $\text{Remainder} = \text{Total Days} \mod \text{Days in a Week} = 147 \mod 7$

3. Analysis and Detail

1. Calculate $147 \mod 7$: $147 \div 7 = 21 \quad \text{(this means there are 21 complete weeks)}$ The remainder is 0 because $147$ is exactly divisible by $7$.

4. Verify and Summarize

Since the remainder is 0, it means after 147 days, we arrive back at the same day, which is Sunday.

Final Answer

After 147 days from Sunday, it will still be Sunday.