Xavier asks Kofi if he can guess how many pancakes he made in the morning. Xavier gives him three clues to guess.
“If the number of pancakes I have is…”i) is a multiple of 3, it is a number between 1 and 17
ii) is not a multiple of 8, it is a number between 20 and 27
iii) is not a multiple of 12, it is a number between 30 and 37
How many pancakes did Xavier make?
Answers
Answer:
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Given : Xavier asks Kofi if he can guess how many pancakes he made in the morning. Xavier gives him three clues to guess.
“If the number of pancakes I have is…”
i) is a multiple of 3, it is a number between 1 and 17
ii) is not a multiple of 8, it is a number between 20 and 27
iii) is not a multiple of 12, it is a number between 30 and 37
To Find : How many pancakes did Xavier make
Solution:
in all statements numbers between
1 to 17
20 to 27
30 to 37
If the number of pancakes is a multiple of 3, it is a number between 1 and 17
hence it can be 3 , 6 , 9 , 12 , 15
or it can be 22 , 23 , 25 , 26 , 31 , 32 , 34 , 35
is not a multiple of 8, it is a number between 20 and 27
can be either 21 , 22 , 23 , 25 , 26
or 8 , 16 , 32
is not a multiple of 12, it is a number between 30 and 37
can be either 31 , 32 , 33 , 34 , 35
or 12 , 24
only 32 number is present in all cases
Hence 32 pan cakes made
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