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Riddle:
Many people would think Friday the 13th will be an unlucky day. Is it possible that there is no Friday on 13th through the whole year? How many Fridays at 13th can we have in a year at most? Can you calculate it out?
Answer: We can calculate out how many days there will be for the 13th on each month if we count from the beginning of the year (January 1). Then we divide total days by 7 to get the remainders. We also need to consider the leap year. Through the whole year we had all kinds of remainders, from 0 to 6. The minimum of occurence for all the unique remainders was 1. It means that we have at least one Friday on 13th. In a regular year, the best chance you can get 3 Fridays on 13th, which are in February, March and December because the remainders of these 3 months are 2. In a leap year, the best chance you also can get 3 Fridays on 13th, which are in January, April and July because the remainders of these 3 months are 6.
Riddle:
Four friends-Chloe, Evelyn, Francesca, and Grace-went out for lunch. Someone asked them about their ages, and this is what they said: "Evelyn is three times older than Francesca. But three years ago, Francesca was a year younger than Chloe is now. And Grace is two times older than Francesca,". Can you rank the girls in order of their ages?
Answer: From oldest to youngest, the order is as follows: Evelyn, Grace, Francesca, and Chloe. Evelyn is three times older than Francesca, and Grace is two times older than Francesca. Evelyn is older than Grace because multiplying a number by three will result in a greater number than multiplying the number by two. Both of them are older than Francesca, but if it was three years ago that Francesca was a year younger than Chloe is now, then Francesca is two years older than Chloe. Therefore, Evelyn is the oldest, followed by Grace, then Francesca, and then Chloe.
Riddle:
If a farmer has 3 haystacks in one field and 4 haystacks in the other field, how many haystacks would he have if he combined them all in another field?
Answer: He would have one haystack. If you combine them all into one, there'd only be one.
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