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How many days per calendar year is the month a factor of the day?

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How many days per calendar year is the month a factor of the day? [#permalink]

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New post 10 Apr 2015, 05:08
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Re: How many days per calendar year is the month a factor of the day? [#permalink]

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New post 10 Apr 2015, 05:57
D.

Months will be 1,2,3 till 12.

Calculated manually with 28 for feb and 30/31 for rest months to come to addition of all the no of days for.
Eg: jan is 1. It's s factor of all 31 days. So, 31.
Feb is 2. Factor of all even nos till 28. So, 14.
And likewise

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Re: How many days per calendar year is the month a factor of the day? [#permalink]

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New post 10 Apr 2015, 07:34
Bunuel wrote:
How many days per calendar year is the month a factor of the day?

A. 0
B. 1
C. 59
D. 90
E. 101

Kudos for a correct solution.


30 + 15 + 30/3 + floor (30/4) + ......+ffloor (30/12)
=90
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How many days per calendar year is the month a factor of the day? [#permalink]

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New post 11 Apr 2015, 12:14
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1 Jan 31 31/1=31
2 Feb 28 28/2=14
3 Mar 31 31/3=10
4 Apr 30 30/4=7
5 May 31 31/5=6
6 Jun 30 30/6=5
7 Jul 31 31/7=4
8 Aug 31 31/8=3
9 Sep 30 30/9=3
10 Oct 31 31/10=3
11 Nov 30 30/11=2
12 Dec 31 31/12=2
Total=90
Thus D

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Re: How many days per calendar year is the month a factor of the day? [#permalink]

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Bunuel wrote:
How many days per calendar year is the month a factor of the day?

A. 0
B. 1
C. 59
D. 90
E. 101

Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION:

Solution: 90

All 31 days in January, because 1 is a factor of all integers

14 of the 28 days in February (because every other day is divisible by 2)

10 of the 31 days in March (the multiples of 3 between 3 and 30)

7 days in April (the multiples of 4 between 4 and 28)

6 days in May (the multiples of 5 between 5 and 30)

5 days in June (the multiples of 6 between 6 and 30)

4 days in July (the multiples of 7 between 7 and 28)

3 days in August (the multiples of 8 between 8 and 24… so, so close if only the month were 32 days long!)

3 days in September (9th, 18th, 27th)

3 days in October (10th, 20th,30th)

2 days in November (11th, 22nd)

2 days in December (12th, 24th)

And there you have it! As you can see, as you move through the months, your job starts to get easier as you pick up on the patterns and are able to reuse some of your previous insights… This is a very valuable skill to remember on test day!
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Re: How many days per calendar year is the month a factor of the day? [#permalink]

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New post 24 Sep 2017, 08:29
Hello from the GMAT Club BumpBot!

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Re: How many days per calendar year is the month a factor of the day?   [#permalink] 24 Sep 2017, 08:29
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