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Club Encounter (Posted on 2012-11-05) Difficulty: 2 of 5
John and Nora met at a health club.

(A) John started going to the health club on the first Monday in January and thereafter, he went every fifth day.

(B) Nora started going to the health club on the first Tuesday in January and thereafter, she went every fourth day.

(C) John and Nora went to the health club on the same day just once in January; it was on that day that they met.

On which day of January did John and Nora meet?

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (3 votes)

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Solution healthy answer (spoiler) | Comment 2 of 3 |
If the first Monday is the 1st, then they meet 5 days later and again 25 days later.  Same situation if the first Monday is the 2nd, 3rd, 4th, 5th, or 6th.

So, the first Monday must be the 7th,  and the 1st Tuesday is the 1st.  They meet on January 17th.

  Posted by Steve Herman on 2012-11-05 11:18:44
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