GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Jun 2019, 00:05

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Conjuntos numéricos

Author Message
Intern
Joined: 23 Mar 2018
Posts: 6

### Show Tags

23 Mar 2018, 07:28
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions

### HideShow timer Statistics

It is known that a leap year is one in which the digits form a multiple number of 4 except the multiples of only 100 and not 400. Which day of the week will fall on March 22, 2352?
Experts' Global Representative
Joined: 19 Feb 2010
Posts: 199

### Show Tags

23 Mar 2018, 08:57
1
FISMAQUIM wrote:
It is known that a leap year is one in which the digits form a multiple number of 4 except the multiples of only 100 and not 400. Which day of the week will fall on March 22, 2352?

Hello,

This is not very relevant to GMAT. However, since it is still analytical, let me help you with this.

I would do this in my head (I love Mental Math) in less than a minute but the explanation will take long. Let me try.

2352 - 2018 = 334 years.
Non-leap years lead to an increment of one day for same date whereas leap years lead to an increment of 2 days. Example, March 22 is Thurday in 2018 so it will be Friday in 2019 (one day increase as non-leap year) and Sunday in 2020 (two days increase as 2020 is a leap year).

Out of these 334 years, 81 will be leap years (2020, 2024...2352, except 2100, 2200, 2300).

Hence, total increment = (334-81) x 1 + 81 x 2 = 334 + 81 = 415

415 days mean 59 complete weeks and 2 days.

Hence, practically, 22nd March 2352 will be Thursday + 2 days = Saturday.

I am not sure how clear this calculation is. But such is the nature of your query, my friend

Best wishes,
Maxximus!
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 55681

### Show Tags

23 Mar 2018, 10:16
FISMAQUIM wrote:
It is known that a leap year is one in which the digits form a multiple number of 4 except the multiples of only 100 and not 400. Which day of the week will fall on March 22, 2352?

_________________
Re: Conjuntos numéricos   [#permalink] 23 Mar 2018, 10:16
Display posts from previous: Sort by