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19 Mar 2019, 00:11
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
59% (01:58) correct
41%
(01:55)
wrong
based on 130
sessions
History
Date
Time
Result
Not Attempted Yet
Suppose July of year N has five Mondays. Which of the following must occurs five times in the August of year N? (Note: Both months have $31$ days.)
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
(E) Friday
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
(E) Friday
19 Mar 2019, 00:40
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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
18 Dec 2024, 02:54
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