Question: If today is Monday, what day of the week will it be in 347 days?

1. Monday
2. Tuesday
3. Wednesday
4. Thursday
5. Friday

Answer:

Solution with Explanation:
Approach Solution (1):

We know that there are 7 days in a week. So every 7 days, starting with today, we will have a Monday. For example: in 7 days it will be Monday. Also, in 14 days, or in 21 days, or any multiple of 7 days, it will also be Monday.

Let’s find a multiple of 7 that is close to 347. Since 350 is a multiple of 7, we know that in 350 days it will be Monday. Going backwards, 349 days from today will be Sunday, 348 it will be Saturday and finally days from now it will be Friday.

Correct Option: E

Approach Solution (2):

347 days = 343 days + 4 days = \(7^3\)+ 4 days
We know that week-days have a cyclicity of 7. Hence the equivalent day would be Monday + 4th day.
So, fourth day from Monday would be Friday

Correct Option: E

“If today is Monday, what day of the week will it be in 347 days?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

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