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Suppose July of year N has five Mondays. Which of the following must

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Joined: 02 Sep 2009
Posts: 54376
Suppose July of year N has five Mondays. Which of the following must  [#permalink]

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New post 19 Mar 2019, 00:11
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

54% (02:25) correct 46% (01:41) wrong based on 13 sessions

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Posts: 2803
Re: Suppose July of year N has five Mondays. Which of the following must  [#permalink]

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New post 19 Mar 2019, 00:40

Solution


Given:
    • The month July of year N has five Mondays.

To find:
    • Among the given options, which day must occur five times in the August of year N

Approach and Working:
If July has five Mondays, then those Mondays can be any one of 1 – 8 – 15 – 22 – 29th July OR 2 – 9 – 16 – 23 – 30th July OR 3 – 10 – 17 – 24 – 31st July.

Case 1: 1 – 8 – 15 – 22 – 29th July are Mondays
In such case,
    • 1st August: Thursday
    • 2nd August: Friday
    • 3rd August: Saturday

Hence, Thursday or Friday or Saturday can occur 3 times on August.

Case 2: 2 – 9 – 16 – 23 – 30th July are Mondays
In such case,
    • 1st August: Wednesday
    • 2nd August: Thursday
    • 3rd August: Friday

Hence, Wednesday or Thursday or Friday can occur 3 times on August.

Case 3: 3 – 10 – 17 – 24 – 31st July are Mondays
In such case,
    • 1st August: Tuesday
    • 2nd August: Wednesday
    • 3rd August: Thursday

Hence, Tuesday or Wednesday or Thursday can occur 3 times on August.

Now, combining all 3 cases, we can definitely say that Thursday will occur 3 times in August.

Hence, the correct answer is option D.

Answer: D

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Re: Suppose July of year N has five Mondays. Which of the following must   [#permalink] 19 Mar 2019, 00:40
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Suppose July of year N has five Mondays. Which of the following must

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