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Bunuel
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Deborah and Mike regularly visit the university library every 3 and 4 Updated on: 19 May 2026, 08:45
Originally posted by Bunuel on 15 Dec 2019, 03:56.
Last edited by Bunuel on 19 May 2026, 08:45, edited 1 time in total.
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77% (01:06) correct 23% (01:26) wrong based on 145 sessions

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Deborah and Mike regularly visit the university library every 3 and 4 days, respectively. If they both were at the library on a Monday, on which day of the week will they both be in the library together the next time?

A. Wednesday
B. Thursday
C. Friday
D. Saturday
E. Sunday

M11-31

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D
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merajul
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Deborah and Mike regularly visit the university library every 3 and 4 15 Dec 2019, 05:28
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Bunuel
Deborah and Mike visit the university library at regular intervals every 3 and 4 days respectively. If both of them were in the library on Monday, what day of the week will it be when they meet in the library again?

A. Wednesday
B. Thursday
C. Friday
D. Saturday
E. Sunday

M11-31
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Saturday. Answer D. They will meet after (3*4) =12days. Monday+12 = Saturday
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Deborah and Mike regularly visit the university library every 3 and 4 29 Mar 2020, 04:58
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Bunuel
Deborah and Mike visit the university library at regular intervals every 3 and 4 days respectively. If both of them were in the library on Monday, what day of the week will it be when they meet in the library again?

A. Wednesday
B. Thursday
C. Friday
D. Saturday
E. Sunday

M11-31
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The LCM of 3 and 4 is 12, and that is the number of days until they will again meet. Since 7 days from Monday is again Monday, 5 days after that is Saturday.

Answer: D
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Deborah and Mike regularly visit the university library every 3 and 4 29 Mar 2020, 06:45
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Solution



Given
In this question, we are given that
    • Deborah and Mike visit the university library at regular intervals every 3 and 4 days respectively.
    • Both of them were in the library on Monday.

To find
We need to determine
    • On what day of the week they will meet in the library again

Approach and Working out
As they are visiting at intervals of 3 and 4 days, they will be meeting again on LCM(3, 4) = 12th day from their first meeting
    • 12th day from Monday = Saturday

Thus, option D is the correct answer.

Correct Answer: Option D
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Deborah and Mike regularly visit the university library every 3 and 4 19 May 2026, 08:42
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2 doubts for this question
How to know if the day of visit is included in the interval between each visit

When it says mike visits every 4 days , does that mean he would come after the 4 days or on the 4th day?
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Deborah and Mike regularly visit the university library every 3 and 4 19 May 2026, 08:45
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Official Solution:

Deborah and Mike regularly visit the university library every 3 and 4 days, respectively. If they both were at the library on a Monday, on which day of the week will they both be in the library together the next time?

A. Wednesday
B. Thursday
C. Friday
D. Saturday
E. Sunday


Deborah and Mike will meet in the library again after 12 days, as it is the least common multiple of their respective visiting intervals, 3 and 4 days. Therefore, their next encounter will occur on a Saturday, which is 12 days after the initial Monday meeting.


Answer: D
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Deborah and Mike regularly visit the university library every 3 and 4 19 May 2026, 08:47
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RJJ
2 doubts for this question
How to know if the day of visit is included in the interval between each visit

When it says mike visits every 4 days , does that mean he would come after the 4 days or on the 4th day?
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“Every 4 days” means after 4 full days have passed, not “count Monday as day 1.”

So if Mike was there on Monday, his next visits are Friday, Tuesday, Saturday, etc. The starting Monday is not counted again as part of the interval.
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