Cleave Books
Puzzle Trio 6

16. A group of people were gathered together in one room and it was possible to count them using the following descriptions -
1 grandmother1 brother
1 grandfather2 sisters
2 fathers2 sons
2 mothers2 daughters
4 children1 father-in-law
3 grandchildren1 mother-in-law
1 daughter-in-law
This gives a total of 23 people.
But there were a lot less than that.
What is the LEAST number of people that could have been present in the room?

17. Use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 using each only once.
Divide them into two groups of five, and then arrange the digits in each group of five to make a multiplication sum.
It could be done like this
0, 1, 5, 6, 9 used to make 106 x 59 (which is 6254)
2, 3, 4, 7, 8 used to make 437 x 82 (which is 35834)
and the two multiplication sums have different answers.
Find a way that makes the answers to both multiplication sums the same.

18. field divided
The drawing (which is NOT to scale) shows the shape of a 1-hectare field. (It is a trapezium)
The wider end is 60 metres long, and the narrower end is 40 metres long.
The dotted line is a fence which divides the field into two parts which are equal in area.
How far is the fence from the wide end? (To the nearest metre will do.)
A hectare is 10000 square metres.

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